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10101131232 = 253131803207
BaseRepresentation
bin10010110100001001…
…10000011111100000
3222001222001122002120
421122010300133200
5131141342144412
64350154144240
7505213125123
oct113204603740
928058048076
1010101131232
114313909445
121b5aa22080
13c4c938b3a
146bb76a3ba
153e1bd7b8c
hex25a1307e0

10101131232 has 48 divisors (see below), whose sum is σ = 26717910912. Its totient is φ = 3341336960.

The previous prime is 10101131231. The next prime is 10101131263. The reversal of 10101131232 is 23213110101.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101131231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389028 + ... + 414179.

It is an arithmetic number, because the mean of its divisors is an integer number (556623144).

Almost surely, 210101131232 is an apocalyptic number.

10101131232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101131232 is an abundant number, since it is smaller than the sum of its proper divisors (16616779680).

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

10101131232 is a wasteful number, since it uses less digits than its factorization.

10101131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803351 (or 803343 counting only the distinct ones).

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

Adding to 10101131232 its reverse (23213110101), we get a palindrome (33314241333).

The spelling of 10101131232 in words is "ten billion, one hundred one million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 3144 4192 6288 12576 803207 1606414 2409621 3212828 4819242 6425656 9638484 12851312 19276968 25702624 38553936 77107872 105220117 210440234 315660351 420880468 631320702 841760936 1262641404 1683521872 2525282808 3367043744 5050565616 10101131232