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102112010120 = 23547367147997
BaseRepresentation
bin101111100011001011…
…0011001111110001000
3100202120100202120110202
41133012112121332020
53133111133310440
6114524250431332
710243300523261
oct1370626317610
9322510676422
10102112010120
113a33a62760a
1217959132548
139824244083
144d29755968
1529c9875615
hex17c6599f88

102112010120 has 64 divisors (see below), whose sum is σ = 235281300480. Its totient is φ = 39866570496.

The previous prime is 102112010089. The next prime is 102112010123. The reversal of 102112010120 is 21010211201.

It is a super-2 number, since 2×1021120101202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102112010123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615962 + ... + 763958.

It is an arithmetic number, because the mean of its divisors is an integer number (3676270320).

Almost surely, 2102112010120 is an apocalyptic number.

102112010120 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 102112010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117640650240).

102112010120 is an abundant number, since it is smaller than the sum of its proper divisors (133169290360).

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

102112010120 is a wasteful number, since it uses less digits than its factorization.

102112010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148422 (or 148418 counting only the distinct ones).

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

Adding to 102112010120 its reverse (21010211201), we get a palindrome (123122221321).

The spelling of 102112010120 in words is "one hundred two billion, one hundred twelve million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 367 376 470 734 940 1468 1835 1880 2936 3670 7340 14680 17249 34498 68996 86245 137992 147997 172490 295994 344980 591988 689960 739985 1183976 1479970 2959940 5919880 6955859 13911718 27823436 34779295 54314899 55646872 69558590 108629798 139117180 217259596 271574495 278234360 434519192 543148990 1086297980 2172595960 2552800253 5105600506 10211201012 12764001265 20422402024 25528002530 51056005060 102112010120