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114122401131 = 3103701526859
BaseRepresentation
bin110101001001000111…
…0011010010101101011
3101220120101102122121110
41222102032122111223
53332210313314011
6124232131041403
711150026255434
oct1522216322553
9356511378543
10114122401131
11444431360a2
121a14b440263
13a9b95a640b
1457488ba48b
152e7de99ba6
hex1a9239a56b

114122401131 has 16 divisors (see below), whose sum is σ = 153859979520. Its totient is φ = 75235322400.

The previous prime is 114122401109. The next prime is 114122401139. The reversal of 114122401131 is 131104221411.

It is not a de Polignac number, because 114122401131 - 29 = 114122400619 is a prime.

It is a super-2 number, since 2×1141224011312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114122401098 and 114122401107.

It is not an unprimeable number, because it can be changed into a prime (114122401139) 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, 46821 + ... + 480038.

It is an arithmetic number, because the mean of its divisors is an integer number (9616248720).

Almost surely, 2114122401131 is an apocalyptic number.

114122401131 is a deficient number, since it is larger than the sum of its proper divisors (39737578389).

114122401131 is a wasteful number, since it uses less digits than its factorization.

114122401131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527666.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 114122401131 its reverse (131104221411), we get a palindrome (245226622542).

The spelling of 114122401131 in words is "one hundred fourteen billion, one hundred twenty-two million, four hundred one thousand, one hundred thirty-one".

Divisors: 1 3 103 309 701 2103 72203 216609 526859 1580577 54266477 162799431 369328159 1107984477 38040800377 114122401131