Search a number
-
+
131110101 = 32127251457
BaseRepresentation
bin1111101000010…
…01010011010101
3100010201002020200
413310021103111
5232031010401
621002051113
73151263123
oct764112325
9303632220
10131110101
116800aa61
1237aa9a99
1321216b55
14135ac913
15b79c686
hex7d094d5

131110101 has 24 divisors (see below), whose sum is σ = 192052224. Its totient is φ = 86184000.

The previous prime is 131110081. The next prime is 131110141. The reversal of 131110101 is 101011131.

It is not a de Polignac number, because 131110101 - 211 = 131108053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131110141) 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, 286665 + ... + 287121.

It is an arithmetic number, because the mean of its divisors is an integer number (8002176).

Almost surely, 2131110101 is an apocalyptic number.

It is an amenable number.

131110101 is a deficient number, since it is larger than the sum of its proper divisors (60942123).

131110101 is a wasteful number, since it uses less digits than its factorization.

131110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 131110101 is about 11450.3319165865. The cubic root of 131110101 is about 508.0175518870.

Adding to 131110101 its reverse (101011131), we get a palindrome (232121232).

The spelling of 131110101 in words is "one hundred thirty-one million, one hundred ten thousand, one hundred one".

Divisors: 1 3 9 127 251 381 457 753 1143 1371 2259 4113 31877 58039 95631 114707 174117 286893 344121 522351 1032363 14567789 43703367 131110101