Search a number
-
+
102002202111220 = 22529175865865709
BaseRepresentation
bin10111001100010100111101…
…000001011110110011110100
3111101011022111211211012221121
4113030110331001132303310
5101332201002220024340
61000535055330353324
730325262441241535
oct2714247501366364
9441138454735847
10102002202111220
112a556988999794
12b53486312b844
1344bb9c699a8b8
141b28d0bd2c68c
15bbd4a0c8494a
hex5cc53d05ecf4

102002202111220 has 24 divisors (see below), whose sum is σ = 221590990794600. Its totient is φ = 39393953918592.

The previous prime is 102002202111137. The next prime is 102002202111223. The reversal of 102002202111220 is 22111202200201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7359696191376 + 94642505919844 = 2712876^2 + 9728438^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102002202111194 and 102002202111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002202111223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87932932275 + ... + 87932933434.

It is an arithmetic number, because the mean of its divisors is an integer number (9232957949775).

Almost surely, 2102002202111220 is an apocalyptic number.

102002202111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002202111220 is an abundant number, since it is smaller than the sum of its proper divisors (119588788683380).

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

102002202111220 is a wasteful number, since it uses less digits than its factorization.

102002202111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175865865747 (or 175865865745 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102002202111220 its reverse (22111202200201), we get a palindrome (124113404311421).

The spelling of 102002202111220 in words is "one hundred two trillion, two billion, two hundred two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 175865865709 351731731418 703463462836 879329328545 1758658657090 3517317314180 5100110105561 10200220211122 20400440422244 25500550527805 51001101055610 102002202111220