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1131696137 = 1113173115017
BaseRepresentation
bin100001101110100…
…0101000000001001
32220212111010020202
41003131011000021
54304203234022
6304144101545
740021154435
oct10335050011
92825433222
101131696137
115308a4070
122770048b5
131505ca9b0
14aa42d9c5
1569547592
hex43745009

1131696137 has 32 divisors (see below), whose sum is σ = 1453261824. Its totient is φ = 864921600.

The previous prime is 1131696133. The next prime is 1131696149. The reversal of 1131696137 is 7316961311.

It is a cyclic number.

It is not a de Polignac number, because 1131696137 - 22 = 1131696133 is a prime.

It is a super-2 number, since 2×11316961372 = 2561472293001445538, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1131696137.

It is not an unprimeable number, because it can be changed into a prime (1131696131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67853 + ... + 82869.

It is an arithmetic number, because the mean of its divisors is an integer number (45414432).

Almost surely, 21131696137 is an apocalyptic number.

1131696137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1131696137 is a deficient number, since it is larger than the sum of its proper divisors (321565687).

1131696137 is a wasteful number, since it uses less digits than its factorization.

1131696137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15089.

The product of its digits is 20412, while the sum is 38.

The square root of 1131696137 is about 33640.6916843278. The cubic root of 1131696137 is about 1042.1013163421.

The spelling of 1131696137 in words is "one billion, one hundred thirty-one million, six hundred ninety-six thousand, one hundred thirty-seven".

Divisors: 1 11 13 17 31 143 187 221 341 403 527 2431 4433 5797 6851 15017 75361 165187 195221 255289 465527 2147431 2808179 3318757 5120797 6051851 7913959 36506327 66570361 87053549 102881467 1131696137