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10251668031 = 31123102113229
BaseRepresentation
bin10011000110000110…
…00000101000111111
3222110110022200202120
421203003000220333
5131443411334111
64413132454023
7512021511663
oct114303005077
928413280676
1010251668031
114390887a20
121ba131a313
13c74b95177
146d37548a3
15400021406
hex2630c0a3f

10251668031 has 32 divisors (see below), whose sum is σ = 15576261120. Its totient is φ = 5936726400.

The previous prime is 10251668023. The next prime is 10251668069. The reversal of 10251668031 is 13086615201.

It is not a de Polignac number, because 10251668031 - 23 = 10251668023 is a prime.

It is a super-2 number, since 2×102516680312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 10251667983 and 10251668001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10251668071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 768325 + ... + 781553.

It is an arithmetic number, because the mean of its divisors is an integer number (486758160).

Almost surely, 210251668031 is an apocalyptic number.

10251668031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10251668031 is a deficient number, since it is larger than the sum of its proper divisors (5324593089).

10251668031 is a wasteful number, since it uses less digits than its factorization.

10251668031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14287.

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 10251668031 in words is "ten billion, two hundred fifty-one million, six hundred sixty-eight thousand, thirty-one".

Divisors: 1 3 11 23 33 69 253 759 1021 3063 11231 13229 23483 33693 39687 70449 145519 258313 304267 436557 774939 912801 3346937 10040811 13506809 40520427 148574899 310656607 445724697 931969821 3417222677 10251668031