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114031631 = 7172361683
BaseRepresentation
bin1101100101111…
…11110000001111
321221120101222202
412302333300033
5213143003011
615152032115
72553152510
oct662776017
9257511882
10114031631
115940571a
123223263b
131a81744c
1411204a07
15a02723b
hex6cbfc0f

114031631 has 32 divisors (see below), whose sum is σ = 146562048. Its totient is φ = 86423040.

The previous prime is 114031613. The next prime is 114031633. The reversal of 114031631 is 136130411.

It is a cyclic number.

It is not a de Polignac number, because 114031631 - 210 = 114030607 is a prime.

It is a super-2 number, since 2×1140316312 = 26006425737040322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114031633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166616 + ... + 167298.

It is an arithmetic number, because the mean of its divisors is an integer number (4580064).

Almost surely, 2114031631 is an apocalyptic number.

114031631 is a deficient number, since it is larger than the sum of its proper divisors (32530417).

114031631 is a wasteful number, since it uses less digits than its factorization.

114031631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 114031631 is about 10678.5594065866. The cubic root of 114031631 is about 484.9256002360.

The spelling of 114031631 in words is "one hundred fourteen million, thirty-one thousand, six hundred thirty-one".

Divisors: 1 7 17 23 61 119 161 391 427 683 1037 1403 2737 4781 7259 9821 11611 15709 23851 41663 81277 109963 166957 267053 291641 708271 958249 1869371 4957897 6707743 16290233 114031631