Search a number
-
+
1010202202020 = 22351112311243387
BaseRepresentation
bin11101011001101001011…
…11100100111110100100
310120120111201122222122010
432230310233210332210
5113022343230431040
62052025215034220
7132661516016154
oct16546457447644
93516451588563
101010202202020
1135a473897310
1214394a80b970
1374352b3167b
1436c733a2764
151b427265e80
hexeb34be4fa4

1010202202020 has 96 divisors (see below), whose sum is σ = 3088217696256. Its totient is φ = 244698364800.

The previous prime is 1010202202013. The next prime is 1010202202043. The reversal of 1010202202020 is 202022020101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1010202201987 and 1010202202005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190767 + ... + 1434153.

It is an arithmetic number, because the mean of its divisors is an integer number (32168934336).

Almost surely, 21010202202020 is an apocalyptic number.

1010202202020 is a gapful number since it is divisible by the number (10) 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 1010202202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544108848128).

1010202202020 is an abundant number, since it is smaller than the sum of its proper divisors (2078015494236).

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

1010202202020 is a wasteful number, since it uses less digits than its factorization.

1010202202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244641 (or 1244639 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1010202202020 its reverse (202022020101), we get a palindrome (1212224222121).

The spelling of 1010202202020 in words is "one trillion, ten billion, two hundred two million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1231 2462 3693 4924 6155 7386 12310 13541 14772 18465 24620 27082 36930 40623 54164 67705 73860 81246 135410 162492 203115 270820 406230 812460 1243387 2486774 3730161 4973548 6216935 7460322 12433870 13677257 14920644 18650805 24867740 27354514 37301610 41031771 54709028 68386285 74603220 82063542 136772570 164127084 205158855 273545140 410317710 820635420 1530609397 3061218794 4591828191 6122437588 7653046985 9183656382 15306093970 16836703367 18367312764 22959140955 30612187940 33673406734 45918281910 50510110101 67346813468 84183516835 91836563820 101020220202 168367033670 202040440404 252550550505 336734067340 505101101010 1010202202020