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10213109631 = 321268989431
BaseRepresentation
bin10011000001011111…
…11010111101111111
3222100202202201120200
421200233322331333
5131404024002011
64405234214543
7511042666554
oct114057727577
928322681520
1010213109631
11437104147a
121b90424453
13c69bb484a
146cc598a2b
153eb956856
hex260bfaf7f

10213109631 has 12 divisors (see below), whose sum is σ = 14753597040. Its totient is φ = 6808127040.

The previous prime is 10213109617. The next prime is 10213109657. The reversal of 10213109631 is 13690131201.

10213109631 is a `hidden beast` number, since 1 + 0 + 2 + 13 + 10 + 9 + 631 = 666.

It is not a de Polignac number, because 10213109631 - 29 = 10213109119 is a prime.

It is a super-2 number, since 2×102131096312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10213109595 and 10213109604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213109131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69486 + ... + 158916.

It is an arithmetic number, because the mean of its divisors is an integer number (1229466420).

Almost surely, 210213109631 is an apocalyptic number.

10213109631 is a deficient number, since it is larger than the sum of its proper divisors (4540487409).

10213109631 is a wasteful number, since it uses less digits than its factorization.

10213109631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102126 (or 102123 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 10213109631 in words is "ten billion, two hundred thirteen million, one hundred nine thousand, six hundred thirty-one".

Divisors: 1 3 9 12689 38067 89431 114201 268293 804879 1134789959 3404369877 10213109631