Search a number
-
+
12101220131 = 7111312089131
BaseRepresentation
bin10110100010100100…
…11111011100100011
31011020100120200021012
423101102133130203
5144240403021011
65320443051135
7605610450110
oct132122373443
934210520235
1012101220131
11514a906880
122418810aab
1311ab1147b0
1482b249907
154ac5b6a8b
hex2d149f723

12101220131 has 16 divisors (see below), whose sum is σ = 16247793408. Its totient is φ = 8704173600.

The previous prime is 12101220119. The next prime is 12101220149. The reversal of 12101220131 is 13102210121.

It is a cyclic number.

It is not a de Polignac number, because 12101220131 - 210 = 12101219107 is a prime.

It is a super-2 number, since 2×121012201312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12101280131) 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, 6043565 + ... + 6045566.

It is an arithmetic number, because the mean of its divisors is an integer number (1015487088).

Almost surely, 212101220131 is an apocalyptic number.

12101220131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12101220131 is a deficient number, since it is larger than the sum of its proper divisors (4146573277).

12101220131 is a wasteful number, since it uses less digits than its factorization.

12101220131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12089162.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12101220131 its reverse (13102210121), we get a palindrome (25203430252).

It can be divided in two parts, 12101 and 220131, that added together give a palindrome (232232).

The spelling of 12101220131 in words is "twelve billion, one hundred one million, two hundred twenty thousand, one hundred thirty-one".

Divisors: 1 7 11 13 77 91 143 1001 12089131 84623917 132980441 157158703 930863087 1100110921 1728745733 12101220131