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10112121140 = 2251164171707
BaseRepresentation
bin10010110101011101…
…01011100100110100
3222002201201222102012
421122232223210310
5131202200334030
64351225503352
7505405416512
oct113256534464
928081658365
1010112121140
11431a035310
121b62641b58
13c51cb6144
146bcdcb4b2
153e2b59095
hex25abab934

10112121140 has 48 divisors (see below), whose sum is σ = 23202414144. Its totient is φ = 3671347200.

The previous prime is 10112121137. The next prime is 10112121193. The reversal of 10112121140 is 4112121101.

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, 105167 + ... + 176873.

It is an arithmetic number, because the mean of its divisors is an integer number (483383628).

Almost surely, 210112121140 is an apocalyptic number.

10112121140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112121140 is an abundant number, since it is smaller than the sum of its proper divisors (13090293004).

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

10112121140 is a wasteful number, since it uses less digits than its factorization.

10112121140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72368 (or 72366 counting only the distinct ones).

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

Adding to 10112121140 its reverse (4112121101), we get a palindrome (14224242241).

The spelling of 10112121140 in words is "ten billion, one hundred twelve million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 641 1282 2564 3205 6410 7051 12820 14102 28204 35255 70510 71707 141020 143414 286828 358535 717070 788777 1434140 1577554 3155108 3943885 7887770 15775540 45964187 91928374 183856748 229820935 459641870 505606057 919283740 1011212114 2022424228 2528030285 5056060570 10112121140