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2131735131 = 33377927011
BaseRepresentation
bin111111100001111…
…1011001001011011
312111120020100212000
41333003323021123
513331211011011
6551310252043
7103553310141
oct17703731133
95446210760
102131735131
119a4344179
124b5ab7023
1327c84c846
1416318b591
15c7235356
hex7f0fb25b

2131735131 has 32 divisors (see below), whose sum is σ = 3284659200. Its totient is φ = 1365193440.

The previous prime is 2131735129. The next prime is 2131735141. The reversal of 2131735131 is 1315371312.

It is a happy number.

It is not a de Polignac number, because 2131735131 - 21 = 2131735129 is a prime.

It is a super-2 number, since 2×21317351312 = 9088589337479174322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2131735095 and 2131735104.

It is not an unprimeable number, because it can be changed into a prime (2131735141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65416 + ... + 92426.

It is an arithmetic number, because the mean of its divisors is an integer number (102645600).

Almost surely, 22131735131 is an apocalyptic number.

2131735131 is a deficient number, since it is larger than the sum of its proper divisors (1152924069).

2131735131 is a wasteful number, since it uses less digits than its factorization.

2131735131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27136 (or 27130 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 2131735131 is about 46170.7172458908. The cubic root of 2131735131 is about 1286.9976309583.

The spelling of 2131735131 in words is "two billion, one hundred thirty-one million, seven hundred thirty-five thousand, one hundred thirty-one".

Divisors: 1 3 9 27 37 79 111 237 333 711 999 2133 2923 8769 26307 27011 78921 81033 243099 729297 999407 2133869 2998221 6401607 8994663 19204821 26983989 57614463 78953153 236859459 710578377 2131735131