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10364164031 = 131429557903
BaseRepresentation
bin10011010011100000…
…01001011110111111
3222202022000002021002
421221300021132333
5132211211222111
64432232000515
7514555640444
oct115160113677
928668002232
1010364164031
114439333921
122012b3013b
13c92292650
147046799cb
15409d4363b
hex269c097bf

10364164031 has 8 divisors (see below), whose sum is σ = 11169238080. Its totient is φ = 9560208672.

The previous prime is 10364164003. The next prime is 10364164033. The reversal of 10364164031 is 13046146301.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10364164031 - 218 = 10363901887 is a prime.

It is a super-3 number, since 3×103641640313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10364163985 and 10364164003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10364164033) 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 7 ways as a sum of consecutive naturals, for example, 260375 + ... + 297528.

It is an arithmetic number, because the mean of its divisors is an integer number (1396154760).

Almost surely, 210364164031 is an apocalyptic number.

10364164031 is a deficient number, since it is larger than the sum of its proper divisors (805074049).

10364164031 is a wasteful number, since it uses less digits than its factorization.

10364164031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559345.

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 10364164031 in words is "ten billion, three hundred sixty-four million, one hundred sixty-four thousand, thirty-one".

Divisors: 1 13 1429 18577 557903 7252739 797243387 10364164031