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11657233211 = 132931997453
BaseRepresentation
bin10101101101101001…
…10100001100111011
31010002102010210201012
422312310310030323
5142333222430321
65204422544135
7561606563441
oct126664641473
933072123635
1011657233211
114a42227938
122313b9804b
13113a141a40
147c82b4b91
1548361505b
hex2b6d3433b

11657233211 has 16 divisors (see below), whose sum is σ = 13405781760. Its totient is φ = 10054316160.

The previous prime is 11657233199. The next prime is 11657233243. The reversal of 11657233211 is 11233275611.

It is a cyclic number.

It is not a de Polignac number, because 11657233211 - 214 = 11657216827 is a prime.

It is a super-2 number, since 2×116572332112 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11657239211) 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, 487040 + ... + 510413.

It is an arithmetic number, because the mean of its divisors is an integer number (837861360).

Almost surely, 211657233211 is an apocalyptic number.

11657233211 is a deficient number, since it is larger than the sum of its proper divisors (1748548549).

11657233211 is a wasteful number, since it uses less digits than its factorization.

11657233211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997526.

The product of its digits is 7560, while the sum is 32.

The spelling of 11657233211 in words is "eleven billion, six hundred fifty-seven million, two hundred thirty-three thousand, two hundred eleven".

Divisors: 1 13 29 31 377 403 899 11687 997453 12966889 28926137 30921043 376039781 401973559 896710247 11657233211