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114250432131 = 32111933359693
BaseRepresentation
bin110101001100111011…
…0110011111010000011
3101220220022100022010100
41222121312303322003
53332441102312011
6124252543133443
711153142435603
oct1523166637203
9356808308110
10114250432131
11444a9432740
121a1862a4283
13aa09c828c4
14575b8c6c03
152e8a339d56
hex1a99db3e83

114250432131 has 24 divisors (see below), whose sum is σ = 180043312176. Its totient is φ = 69237944640.

The previous prime is 114250432091. The next prime is 114250432133. The reversal of 114250432131 is 131234052411.

114250432131 is a `hidden beast` number, since 1 + 142 + 504 + 3 + 2 + 13 + 1 = 666.

It is not a de Polignac number, because 114250432131 - 29 = 114250431619 is a prime.

It is a super-2 number, since 2×1142504321312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114250432095 and 114250432104.

It is not an unprimeable number, because it can be changed into a prime (114250432133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1884121 + ... + 1943813.

It is an arithmetic number, because the mean of its divisors is an integer number (7501804674).

Almost surely, 2114250432131 is an apocalyptic number.

114250432131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114250432131 is a deficient number, since it is larger than the sum of its proper divisors (65792880045).

114250432131 is a wasteful number, since it uses less digits than its factorization.

114250432131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79043 (or 79040 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 114250432131 its reverse (131234052411), we get a palindrome (245484484542).

The spelling of 114250432131 in words is "one hundred fourteen billion, two hundred fifty million, four hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 19333 57999 59693 173997 179079 212663 537237 637989 656623 1913967 1969869 5909607 1154044769 3462134307 10386402921 12694492459 38083477377 114250432131