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10031144123 = 7211132367929
BaseRepresentation
bin10010101011110011…
…10001110010111011
3221220002100220211102
421111321301302323
5131020433102443
64335214122015
7503403214100
oct112571616273
927802326742
1010031144123
114288357060
121b3b4b030b
13c3b2a3150
146b234caa7
153da9b0cb8
hex255e71cbb

10031144123 has 96 divisors (see below), whose sum is σ = 14534069760. Its totient is φ = 6791178240.

The previous prime is 10031144113. The next prime is 10031144141. The reversal of 10031144123 is 32144113001.

It is not a de Polignac number, because 10031144123 - 28 = 10031143867 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10031144095 and 10031144104.

It is not an unprimeable number, because it can be changed into a prime (10031144113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10797323 + ... + 10798251.

It is an arithmetic number, because the mean of its divisors is an integer number (151396560).

Almost surely, 210031144123 is an apocalyptic number.

10031144123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10031144123 is a deficient number, since it is larger than the sum of its proper divisors (4502925637).

10031144123 is a wasteful number, since it uses less digits than its factorization.

10031144123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10031144123 its reverse (32144113001), we get a palindrome (42175257124).

The spelling of 10031144123 in words is "ten billion, thirty-one million, one hundred forty-four thousand, one hundred twenty-three".

Divisors: 1 7 11 13 23 49 67 77 91 143 161 253 299 469 539 637 737 871 929 1001 1127 1541 1771 2093 3283 3289 5159 6097 6503 7007 9581 10219 10787 12077 12397 14651 16951 20033 21367 23023 36113 42679 45521 62243 67067 71533 75509 84539 118657 132847 140231 149569 161161 220363 235037 277771 435701 469469 500731 591773 684673 809159 830599 929929 981617 1046983 1431589 1542541 1645259 1944397 3049907 3055481 4792711 5664113 6509503 8900749 10021123 10797787 11516813 13610779 15747479 18610657 21388367 33548977 39648791 62305243 70147861 110232353 130274599 149718569 204717227 436136701 771626471 911922193 1433020589 10031144123