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10611116831 = 717206343223
BaseRepresentation
bin10011110000111100…
…01100101100011111
31000101111200120211002
421320132030230133
5133212421214311
64512533020515
7523645001450
oct117036145437
930344616732
1010611116831
114555776147
12208178473b
1310014a9073
147293a1127
1542187493b
hex27878cb1f

10611116831 has 16 divisors (see below), whose sum is σ = 12846864384. Its totient is φ = 8555881344.

The previous prime is 10611116773. The next prime is 10611116833. The reversal of 10611116831 is 13861111601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10611116831 is a prime.

It is a super-2 number, since 2×106111168312 (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 = 10611116794 and 10611116803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10611116833) 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 15 ways as a sum of consecutive naturals, for example, 223886 + ... + 267108.

It is an arithmetic number, because the mean of its divisors is an integer number (802929024).

Almost surely, 210611116831 is an apocalyptic number.

10611116831 is a deficient number, since it is larger than the sum of its proper divisors (2235747553).

10611116831 is a wasteful number, since it uses less digits than its factorization.

10611116831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45310.

The product of its (nonzero) digits is 864, while the sum is 29.

The spelling of 10611116831 in words is "ten billion, six hundred eleven million, one hundred sixteen thousand, eight hundred thirty-one".

Divisors: 1 7 17 119 2063 14441 35071 43223 245497 302561 734791 5143537 89169049 624183343 1515873833 10611116831