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102112112120 = 2354175598237
BaseRepresentation
bin101111100011001011…
…0110010110111111000
3100202120100221202101112
41133012112302313320
53133111200041440
6114524252535452
710243301426534
oct1370626626770
9322510852345
10102112112120
113a33a697207
1217959181588
13982427b625
144d29780bc4
1529c9895965
hex17c65b2df8

102112112120 has 64 divisors (see below), whose sum is σ = 235415678400. Its totient is φ = 39838520320.

The previous prime is 102112112033. The next prime is 102112112153. The reversal of 102112112120 is 21211211201.

102112112120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102112112095 and 102112112104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12392642 + ... + 12400878.

It is an arithmetic number, because the mean of its divisors is an integer number (3678369975).

Almost surely, 2102112112120 is an apocalyptic number.

102112112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112112120 is an abundant number, since it is smaller than the sum of its proper divisors (133303566280).

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

102112112120 is a wasteful number, since it uses less digits than its factorization.

102112112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15848 (or 15844 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102112112120 its reverse (21211211201), we get a palindrome (123323323321).

The spelling of 102112112120 in words is "one hundred two billion, one hundred twelve million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 7559 8237 15118 16474 30236 32948 37795 41185 60472 65896 75590 82370 151180 164740 302360 309919 329480 337717 619838 675434 1239676 1350868 1549595 1688585 2479352 2701736 3099190 3377170 6198380 6754340 12396760 13508680 62263483 124526966 249053932 311317415 498107864 622634830 1245269660 2490539320 2552802803 5105605606 10211211212 12764014015 20422422424 25528028030 51056056060 102112112120