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10132243872 = 253106399289
BaseRepresentation
bin10010110111110110…
…11100010110100000
3222011010121022121120
421123323130112200
5131222323300442
64353225052240
7506041436412
oct113373342640
928133538546
1010132243872
11432a429873
121b69327080
13c5621039a
146c19489b2
153e47d14ec
hex25bedc5a0

10132243872 has 48 divisors (see below), whose sum is σ = 26622429120. Its totient is φ = 3374203392.

The previous prime is 10132243871. The next prime is 10132243921. The reversal of 10132243872 is 27834223101.

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

It is not an unprimeable number, because it can be changed into a prime (10132243871) 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, 52404 + ... + 151692.

It is an arithmetic number, because the mean of its divisors is an integer number (554633940).

Almost surely, 210132243872 is an apocalyptic number.

10132243872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10132243872 is an abundant number, since it is smaller than the sum of its proper divisors (16490185248).

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

10132243872 is a wasteful number, since it uses less digits than its factorization.

10132243872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100365 (or 100357 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

Adding to 10132243872 its reverse (27834223101), we get a palindrome (37966466973).

The spelling of 10132243872 in words is "ten billion, one hundred thirty-two million, two hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1063 2126 3189 4252 6378 8504 12756 17008 25512 34016 51024 99289 102048 198578 297867 397156 595734 794312 1191468 1588624 2382936 3177248 4765872 9531744 105544207 211088414 316632621 422176828 633265242 844353656 1266530484 1688707312 2533060968 3377414624 5066121936 10132243872