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38231130100 = 22524717234721
BaseRepresentation
bin100011100110110000…
…001011111111110100
310122200101121122011111
4203212300023333310
51111244132130400
625321345444404
72522255146462
oct434660137764
9118611548144
1038231130100
1115239526999
1274ab640704
1337b3771997
141bc96b9832
15edb57c3ba
hex8e6c0bff4

38231130100 has 72 divisors (see below), whose sum is σ = 84793822848. Its totient is φ = 14955225600.

The previous prime is 38231130073. The next prime is 38231130109. The reversal of 38231130100 is 103113283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38231130109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8095740 + ... + 8100460.

It is an arithmetic number, because the mean of its divisors is an integer number (1177691984).

Almost surely, 238231130100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38231130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42396911424).

38231130100 is an abundant number, since it is smaller than the sum of its proper divisors (46562692748).

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

38231130100 is a wasteful number, since it uses less digits than its factorization.

38231130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6505 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 38231130100 its reverse (103113283), we get a palindrome (38334243383).

The spelling of 38231130100 in words is "thirty-eight billion, two hundred thirty-one million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 1723 2350 3446 4700 4721 6892 8615 9442 17230 18884 23605 34460 43075 47210 80981 86150 94420 118025 161962 172300 221887 236050 323924 404905 443774 472100 809810 887548 1109435 1619620 2024525 2218870 4049050 4437740 5547175 8098100 8134283 11094350 16268566 22188700 32537132 40671415 81342830 162685660 203357075 382311301 406714150 764622602 813428300 1529245204 1911556505 3823113010 7646226020 9557782525 19115565050 38231130100