Search a number
-
+
202022211121020 = 2232510721434894639
BaseRepresentation
bin101101111011110011110110…
…001000010110111101111100
3222111022010122020121202121100
4231323303312020112331330
5202434412442021333040
61553355420023533100
760360423502244463
oct5573636610267574
9874263566552540
10202022211121020
11594091585190a4
121a7a93118ba190
1388957c73243c4
1437c5cda2cd9da
1518550dbe9eb30
hexb7bcf6216f7c

202022211121020 has 144 divisors (see below), whose sum is σ = 618816569978880. Its totient is φ = 53344192664448.

The previous prime is 202022211121007. The next prime is 202022211121021. The reversal of 202022211121020 is 20121112220202.

It is a happy number.

202022211121020 is a `hidden beast` number, since 2 + 0 + 202 + 221 + 11 + 210 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202022211120984 and 202022211121002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202022211121021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38826861 + ... + 43721499.

It is an arithmetic number, because the mean of its divisors is an integer number (4297337291520).

Almost surely, 2202022211121020 is an apocalyptic number.

202022211121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202022211121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309408284989440).

202022211121020 is an abundant number, since it is smaller than the sum of its proper divisors (416794358857860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202022211121020 is a wasteful number, since it uses less digits than its factorization.

202022211121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4896904 (or 4896899 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202022211121020 its reverse (20121112220202), we get a palindrome (222143323341222).

The spelling of 202022211121020 in words is "two hundred two trillion, twenty-two billion, two hundred eleven million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1926 2140 2143 3210 3852 4286 4815 6420 6429 8572 9630 10715 12858 19260 19287 21430 25716 32145 38574 42860 64290 77148 96435 128580 192870 229301 385740 458602 687903 917204 1146505 1375806 2063709 2293010 2751612 3439515 4127418 4586020 4894639 6879030 8254836 9789278 10318545 13758060 14683917 19578556 20637090 24473195 29367834 41274180 44051751 48946390 58735668 73419585 88103502 97892780 146839170 176207004 220258755 293678340 440517510 523726373 881035020 1047452746 1571179119 2094905492 2618631865 3142358238 4713537357 5237263730 6284716476 7855895595 9427074714 10474527460 10489211377 15711791190 18854149428 20978422754 23567686785 31423582380 31467634131 41956845508 47135373570 52446056885 62935268262 94270747140 94402902393 104892113770 125870536524 157338170655 188805804786 209784227540 314676341310 377611609572 472014511965 629352682620 944029023930 1122345617339 1888058047860 2244691234678 3367036852017 4489382469356 5611728086695 6734073704034 10101110556051 11223456173390 13468147408068 16835184260085 20202221112102 22446912346780 33670368520170 40404442224204 50505552780255 67340737040340 101011105560510 202022211121020