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101233210131 = 337152808143
BaseRepresentation
bin101111001000111111…
…0000011001100010011
3100200022010010220112000
41132101332003030103
53124311200211011
6114301135005043
710212440042214
oct1362176031423
9320263126460
10101233210131
1139a29565129
1217752969783
139714161091
144c84b5740b
152977635356
hex1791f83313

101233210131 has 16 divisors (see below), whose sum is σ = 152087454720. Its totient is φ = 66538258920.

The previous prime is 101233210097. The next prime is 101233210193. The reversal of 101233210131 is 131012332101.

It is not a de Polignac number, because 101233210131 - 218 = 101232947987 is a prime.

It is a super-2 number, since 2×1012332101312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101233210531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26402155 + ... + 26405988.

It is an arithmetic number, because the mean of its divisors is an integer number (9505465920).

Almost surely, 2101233210131 is an apocalyptic number.

101233210131 is a deficient number, since it is larger than the sum of its proper divisors (50854244589).

101233210131 is an equidigital number, since it uses as much as digits as its factorization.

101233210131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52808223 (or 52808217 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101233210131 its reverse (131012332101), we get a palindrome (232245542232).

It can be divided in two parts, 101233 and 210131, that added together give a square (311364 = 5582).

The spelling of 101233210131 in words is "one hundred one billion, two hundred thirty-three million, two hundred ten thousand, one hundred thirty-one".

Divisors: 1 3 9 27 71 213 639 1917 52808143 158424429 475273287 1425819861 3749378153 11248134459 33744403377 101233210131