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114835131 = 334253153
BaseRepresentation
bin1101101100000…
…11111010111011
322000002020012000
412312003322323
5213344211011
615221152043
72563040205
oct666037273
9260066160
10114835131
1159904374
123255b623
131aa390a8
1411373775
15a135356
hex6d83ebb

114835131 has 8 divisors (see below), whose sum is σ = 170126160. Its totient is φ = 76556736.

The previous prime is 114835103. The next prime is 114835141. The reversal of 114835131 is 131538411.

114835131 is a `hidden beast` number, since 1 + 148 + 3 + 513 + 1 = 666.

It is not a de Polignac number, because 114835131 - 27 = 114835003 is a prime.

It is a super-2 number, since 2×1148351312 = 26374214623574322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4253153 = 114835131 / (1 + 1 + 4 + 8 + 3 + 5 + 1 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 114835095 and 114835104.

It is not an unprimeable number, because it can be changed into a prime (114835141) 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 7 ways as a sum of consecutive naturals, for example, 2126550 + ... + 2126603.

It is an arithmetic number, because the mean of its divisors is an integer number (21265770).

Almost surely, 2114835131 is an apocalyptic number.

114835131 is a deficient number, since it is larger than the sum of its proper divisors (55291029).

114835131 is an equidigital number, since it uses as much as digits as its factorization.

114835131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253162 (or 4253156 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 114835131 is about 10716.1154809007. The cubic root of 114835131 is about 486.0619110277.

The spelling of 114835131 in words is "one hundred fourteen million, eight hundred thirty-five thousand, one hundred thirty-one".

Divisors: 1 3 9 27 4253153 12759459 38278377 114835131