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100131000192 = 273286919271
BaseRepresentation
bin101110101000001000…
…1011100111110000000
3100120110022010211201200
41131100101130332000
53120032014001232
6113555522501200
710143224313156
oct1352021347600
9316408124650
10100131000192
1139513380523
12174a5804800
1395999b8552
144bbc6013d6
1529109b477c
hex175045cf80

100131000192 has 48 divisors (see below), whose sum is σ = 288137386680. Its totient is φ = 33376999680.

The previous prime is 100131000191. The next prime is 100131000209. The reversal of 100131000192 is 291000131001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131000191) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43458484 + ... + 43460787.

Almost surely, 2100131000192 is an apocalyptic number.

100131000192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100131000192 is an abundant number, since it is smaller than the sum of its proper divisors (188006386488).

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

100131000192 is an equidigital number, since it uses as much as digits as its factorization.

100131000192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86919291 (or 86919276 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 100131000192 its reverse (291000131001), we get a palindrome (391131131193).

The spelling of 100131000192 in words is "one hundred billion, one hundred thirty-one million, one hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 86919271 173838542 260757813 347677084 521515626 695354168 782273439 1043031252 1390708336 1564546878 2086062504 2781416672 3129093756 4172125008 5562833344 6258187512 8344250016 11125666688 12516375024 16688500032 25032750048 33377000064 50065500096 100131000192