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10213714431 = 3247149162053
BaseRepresentation
bin10011000001100100…
…01110100111111111
3222100210220110012200
421200302032213333
5131404202330211
64405255202543
7511051066044
oct114062164777
928323813180
1010213714431
114371414908
121b90676453
13c6a066c0b
146cc6b51cb
153eba25b56
hex260c8e9ff

10213714431 has 24 divisors (see below), whose sum is σ = 15168254400. Its totient is φ = 6619500096.

The previous prime is 10213714387. The next prime is 10213714447. The reversal of 10213714431 is 13441731201.

10213714431 is a `hidden beast` number, since 1 + 0 + 213 + 7 + 1 + 443 + 1 = 666.

It is not a de Polignac number, because 10213714431 - 29 = 10213713919 is a prime.

It is a super-2 number, since 2×102137144312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10213714395 and 10213714404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213714471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18000 + ... + 144053.

It is an arithmetic number, because the mean of its divisors is an integer number (632010600).

Almost surely, 210213714431 is an apocalyptic number.

10213714431 is a deficient number, since it is larger than the sum of its proper divisors (4954539969).

10213714431 is a wasteful number, since it uses less digits than its factorization.

10213714431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162255 (or 162252 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10213714431 in words is "ten billion, two hundred thirteen million, seven hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 9 47 141 149 423 447 1341 7003 21009 63027 162053 486159 1458477 7616491 22849473 24145897 68548419 72437691 217313073 1134857159 3404571477 10213714431