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10821433931 = 711607231529
BaseRepresentation
bin10100001010000000…
…11111101001001011
31000221011102210122022
422011000133221023
5134130241341211
64545444515055
7532110446030
oct120500375113
930834383568
1010821433931
114653465530
1221200aba8b
131035c36359
147492ab387
1543506abdb
hex28501fa4b

10821433931 has 16 divisors (see below), whose sum is σ = 13513943040. Its totient is φ = 8418358080.

The previous prime is 10821433873. The next prime is 10821433957. The reversal of 10821433931 is 13933412801.

It is a de Polignac number, because none of the positive numbers 2k-10821433931 is a prime.

It is a super-2 number, since 2×108214339312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10821433891 and 10821433900.

It is not an unprimeable number, because it can be changed into a prime (10821433631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69026 + ... + 162503.

It is an arithmetic number, because the mean of its divisors is an integer number (844621440).

Almost surely, 210821433931 is an apocalyptic number.

10821433931 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10821433931 is a deficient number, since it is larger than the sum of its proper divisors (2692509109).

10821433931 is a wasteful number, since it uses less digits than its factorization.

10821433931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232154.

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 10821433931 in words is "ten billion, eight hundred twenty-one million, four hundred thirty-three thousand, nine hundred thirty-one".

Divisors: 1 7 11 77 607 4249 6677 46739 231529 1620703 2546819 17827733 140538103 983766721 1545919133 10821433931