Search a number
-
+
102010233011131 = 13031949206319471
BaseRepresentation
bin10111001100011100011011…
…101100111011101110111011
3111101012002020112101012120001
4113030130123230323232323
5101332313424122324011
61000542504252413431
730325665445616104
oct2714343354735673
9441162215335501
10102010233011131
112a55a32a151755
12b536324777277
1344bc6a673c493
141b2947075b3ab
15bbd7c0d357c1
hex5cc71bb3bbbb

102010233011131 has 16 divisors (see below), whose sum is σ = 102195660902400. Its totient is φ = 101825030593440.

The previous prime is 102010233011107. The next prime is 102010233011189. The reversal of 102010233011131 is 131110332010201.

It is a cyclic number.

It is not a de Polignac number, because 102010233011131 - 231 = 102008085527483 is a prime.

It is a super-2 number, since 2×1020102330111312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102010233011099 and 102010233011108.

It is not an unprimeable number, because it can be changed into a prime (102010233011231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5239075726 + ... + 5239095196.

It is an arithmetic number, because the mean of its divisors is an integer number (6387228806400).

Almost surely, 2102010233011131 is an apocalyptic number.

102010233011131 is a deficient number, since it is larger than the sum of its proper divisors (185427891269).

102010233011131 is a wasteful number, since it uses less digits than its factorization.

102010233011131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24786.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 102010233011131 its reverse (131110332010201), we get a palindrome (233120565021332).

The spelling of 102010233011131 in words is "one hundred two trillion, ten billion, two hundred thirty-three million, eleven thousand, one hundred thirty-one".

Divisors: 1 1303 1949 2063 19471 2539547 2688089 4020787 25370713 37948979 40168673 5239085461 49447519637 52339780919 78288743677 102010233011131