Search a number
-
+
32101011131 = 741769114543
BaseRepresentation
bin11101111001010111…
…101000111010111011
310001212011201022211012
4131321113220322323
51011220324324011
622425204024135
72214331043510
oct357127507273
9101764638735
1032101011131
1112683202872
12627a69204b
133047748257
1417a74b9307
15c7d2e0a8b
hex7795e8ebb

32101011131 has 16 divisors (see below), whose sum is σ = 37589142528. Its totient is φ = 26838715200.

The previous prime is 32101011091. The next prime is 32101011143. The reversal of 32101011131 is 13111010123.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 32101011131 - 26 = 32101011067 is a prime.

It is a super-2 number, since 2×321010111312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32101011161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2200046 + ... + 2214588.

It is an arithmetic number, because the mean of its divisors is an integer number (2349321408).

Almost surely, 232101011131 is an apocalyptic number.

32101011131 is a deficient number, since it is larger than the sum of its proper divisors (5488131397).

32101011131 is a wasteful number, since it uses less digits than its factorization.

32101011131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22282.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 32101011131 its reverse (13111010123), we get a palindrome (45212021254).

The spelling of 32101011131 in words is "thirty-two billion, one hundred one million, eleven thousand, one hundred thirty-one".

Divisors: 1 7 41 287 7691 14543 53837 101801 315331 596263 2207317 4173841 111850213 782951491 4585858733 32101011131