Search a number
-
+
2202102121320 = 2332543142254659
BaseRepresentation
bin100000000010110111100…
…000111100001101101000
321210112000021122100210200
4200002313200330031220
5242034401120340240
64403344242512200
7315045100122453
oct40026740741550
97715007570720
102202102121320
117799a7269932
122b6947665660
1312c871234aca
1478821c1049a
153c435c87930
hex200b783c368

2202102121320 has 96 divisors (see below), whose sum is σ = 7323269896800. Its totient is φ = 573570781056.

The previous prime is 2202102121309. The next prime is 2202102121333. The reversal of 2202102121320 is 231212012022.

2202102121320 is a `hidden beast` number, since 220 + 2 + 1 + 0 + 2 + 121 + 320 = 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 = 2202102121293 and 2202102121302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71111850 + ... + 71142809.

It is an arithmetic number, because the mean of its divisors is an integer number (76284061425).

Almost surely, 22202102121320 is an apocalyptic number.

2202102121320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202102121320 is an abundant number, since it is smaller than the sum of its proper divisors (5121167775480).

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

2202102121320 is a wasteful number, since it uses less digits than its factorization.

2202102121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142254719 (or 142254712 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2202102121320 its reverse (231212012022), we get a palindrome (2433314133342).

The spelling of 2202102121320 in words is "two trillion, two hundred two billion, one hundred two million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 3096 3870 5160 7740 15480 142254659 284509318 426763977 569018636 711273295 853527954 1138037272 1280291931 1422546590 1707055908 2133819885 2560583862 2845093180 3414111816 4267639770 5121167724 5690186360 6116950337 6401459655 8535279540 10242335448 12233900674 12802919310 17070559080 18350851011 24467801348 25605838620 30584751685 36701702022 48935602696 51211677240 55052553033 61169503370 73403404044 91754255055 110105106066 122339006740 146806808088 183508510110 220210212132 244678013480 275262765165 367017020220 440420424264 550525530330 734034040440 1101051060660 2202102121320