Search a number
-
+
131222112612 = 223234117964783
BaseRepresentation
bin111101000110101110…
…0101000100101100100
3110112201002112222221220
41322031130220211210
54122220330100422
6140141013140340
712323543360613
oct1721534504544
9415632488856
10131222112612
1150718509458
122152202a6b0
13c4b313bba6
1464cb91387a
1536302bae5c
hex1e8d728964

131222112612 has 96 divisors (see below), whose sum is σ = 329123450880. Its totient is φ = 40589809920.

The previous prime is 131222112611. The next prime is 131222112649. The reversal of 131222112612 is 216211222131.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131222112611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1993173 + ... + 2057955.

It is an arithmetic number, because the mean of its divisors is an integer number (3428369280).

Almost surely, 2131222112612 is an apocalyptic number.

131222112612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131222112612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164561725440).

131222112612 is an abundant number, since it is smaller than the sum of its proper divisors (197901338268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131222112612 is a wasteful number, since it uses less digits than its factorization.

131222112612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65033 (or 65031 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 131222112612 its reverse (216211222131), we get a palindrome (347433334743).

The spelling of 131222112612 in words is "one hundred thirty-one billion, two hundred twenty-two million, one hundred twelve thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 23 41 46 69 82 92 123 138 164 179 246 276 358 492 537 716 943 1074 1886 2148 2829 3772 4117 5658 7339 8234 11316 12351 14678 16468 22017 24702 29356 44034 49404 64783 88068 129566 168797 194349 259132 337594 388698 506391 675188 777396 1012782 1490009 2025564 2656103 2980018 4470027 5312206 5960036 7968309 8940054 10624412 11596157 15936618 17880108 23192314 31873236 34788471 46384628 61090369 69576942 122180738 139153884 183271107 244361476 266711611 366542214 475442437 533423222 733084428 800134833 950884874 1066846444 1426327311 1600269666 1901769748 2852654622 3200539332 5705309244 10935176051 21870352102 32805528153 43740704204 65611056306 131222112612