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102110102120 = 23513196365581
BaseRepresentation
bin101111100011000111…
…1001000001001101000
3100202120020011122012002
41133012033020021220
53133110141231440
6114524141510132
710243245355505
oct1370617101150
9322506148162
10102110102120
113a339544054
1217958572348
139823a26790
144d293ba4ac
1529c95ea115
hex17c63c8268

102110102120 has 32 divisors (see below), whose sum is σ = 247420633320. Its totient is φ = 37702191360.

The previous prime is 102110102113. The next prime is 102110102131. The reversal of 102110102120 is 21201011201.

It can be written as a sum of positive squares in 4 ways, for example, as 33758182756 + 68351919364 = 183734^2 + 261442^2 .

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 7 ways as a sum of consecutive naturals, for example, 98182271 + ... + 98183310.

Almost surely, 2102110102120 is an apocalyptic number.

102110102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102110102120 is an abundant number, since it is smaller than the sum of its proper divisors (145310531200).

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

102110102120 is a wasteful number, since it uses less digits than its factorization.

102110102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196365605 (or 196365601 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102110102120 its reverse (21201011201), we get a palindrome (123311113321).

The spelling of 102110102120 in words is "one hundred two billion, one hundred ten million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 196365581 392731162 785462324 981827905 1570924648 1963655810 2552752553 3927311620 5105505106 7854623240 10211010212 12763762765 20422020424 25527525530 51055051060 102110102120