Search a number
-
+
131111312301 = 32311231381749
BaseRepresentation
bin111101000011011010…
…1111101101110101101
3110112102101001202111200
41322012311331232231
54122003443443201
6140122014240113
712321026523624
oct1720665755655
9415371052450
10131111312301
1150670a10552
12214b0ab6039
13c4961b6488
1464bad106bb
1536256d1386
hex1e86d7dbad

131111312301 has 24 divisors (see below), whose sum is σ = 195651456000. Its totient is φ = 84519007200.

The previous prime is 131111312281. The next prime is 131111312303. The reversal of 131111312301 is 103213111131.

131111312301 is a `hidden beast` number, since 1 + 311 + 11 + 312 + 30 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-131111312301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131111312303) 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, 152575 + ... + 534323.

It is an arithmetic number, because the mean of its divisors is an integer number (8152144000).

Almost surely, 2131111312301 is an apocalyptic number.

It is an amenable number.

131111312301 is a deficient number, since it is larger than the sum of its proper divisors (64540143699).

131111312301 is a wasteful number, since it uses less digits than its factorization.

131111312301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383017 (or 383014 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131111312301 its reverse (103213111131), we get a palindrome (234324423432).

The spelling of 131111312301 in words is "one hundred thirty-one billion, one hundred eleven million, three hundred twelve thousand, three hundred one".

Divisors: 1 3 9 31 93 279 1231 3693 11079 38161 114483 343449 381749 1145247 3435741 11834219 35502657 106507971 469933019 1409799057 4229397171 14567923589 43703770767 131111312301