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131102031120 = 24351393929917
BaseRepresentation
bin111101000011001001…
…0100011110100010000
3110112101201121020010020
41322012102203310100
54121444104443440
6140121043303440
712320554610034
oct1720622436420
9415351536106
10131102031120
1150666751455
12214a997ab80
13c4942b6b58
1464b99b61c4
15362499b3d0
hex1e864a3d10

131102031120 has 80 divisors (see below), whose sum is σ = 409340258880. Its totient is φ = 34709018112.

The previous prime is 131102031083. The next prime is 131102031161. The reversal of 131102031120 is 21130201131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131102031120.

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, 1931599 + ... + 1998318.

It is an arithmetic number, because the mean of its divisors is an integer number (5116753236).

Almost surely, 2131102031120 is an apocalyptic number.

131102031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131102031120 is an abundant number, since it is smaller than the sum of its proper divisors (278238227760).

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

131102031120 is a wasteful number, since it uses less digits than its factorization.

131102031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930072 (or 3930066 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131102031120 its reverse (21130201131), we get a palindrome (152232232251).

The spelling of 131102031120 in words is "one hundred thirty-one billion, one hundred two million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 5560 6672 8340 11120 16680 33360 3929917 7859834 11789751 15719668 19649585 23579502 31439336 39299170 47159004 58948755 62878672 78598340 94318008 117897510 157196680 188636016 235795020 314393360 471590040 546258463 943180080 1092516926 1638775389 2185033852 2731292315 3277550778 4370067704 5462584630 6555101556 8193876945 8740135408 10925169260 13110203112 16387753890 21850338520 26220406224 32775507780 43700677040 65551015560 131102031120