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114017631 = 37131492803
BaseRepresentation
bin1101100101111…
…00010101011111
321221112200210020
412302330111133
5213142031011
615151443223
72553063630
oct662742537
9257480706
10114017631
11593a6152
1232226513
131a810c70
14111dd887
15a023006
hex6cbc55f

114017631 has 32 divisors (see below), whose sum is σ = 188428800. Its totient is φ = 59716224.

The previous prime is 114017627. The next prime is 114017671. The reversal of 114017631 is 136710411.

It is not a de Polignac number, because 114017631 - 22 = 114017627 is a prime.

It is a super-2 number, since 2×1140176312 = 26000040357704322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114017611) 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, 39276 + ... + 42078.

It is an arithmetic number, because the mean of its divisors is an integer number (5888400).

Almost surely, 2114017631 is an apocalyptic number.

114017631 is a deficient number, since it is larger than the sum of its proper divisors (74411169).

114017631 is a wasteful number, since it uses less digits than its factorization.

114017631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 114017631 is about 10677.9038673328. The cubic root of 114017631 is about 484.9057541746.

The spelling of 114017631 in words is "one hundred fourteen million, seventeen thousand, six hundred thirty-one".

Divisors: 1 3 7 13 21 39 91 149 273 447 1043 1937 2803 3129 5811 8409 13559 19621 36439 40677 58863 109317 255073 417647 765219 1252941 2923529 5429411 8770587 16288233 38005877 114017631