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131013212099 = 71122310365293
BaseRepresentation
bin111101000000011111…
…1101111011111000011
3110112011112110202022212
41322000333233133003
54121303340241344
6140104151452335
712315425633330
oct1720077573703
9415145422285
10131013212099
11506205a7400
12214840870ab
13c47ba89613
1464abc95987
15361bca479e
hex1e80fef7c3

131013212099 has 48 divisors (see below), whose sum is σ = 173404148736. Its totient is φ = 96700063680.

The previous prime is 131013212093. The next prime is 131013212117. The reversal of 131013212099 is 990212310131.

It is a happy number.

It is not a de Polignac number, because 131013212099 - 236 = 62293735363 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131013212093) 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 47 ways as a sum of consecutive naturals, for example, 1973897 + ... + 2039189.

It is an arithmetic number, because the mean of its divisors is an integer number (3612586432).

Almost surely, 2131013212099 is an apocalyptic number.

131013212099 is a deficient number, since it is larger than the sum of its proper divisors (42390936637).

131013212099 is a wasteful number, since it uses less digits than its factorization.

131013212099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65448 (or 65437 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

It can be divided in two parts, 1310132 and 12099, that added together give a palindrome (1322231).

The spelling of 131013212099 in words is "one hundred thirty-one billion, thirteen million, two hundred twelve thousand, ninety-nine".

Divisors: 1 7 11 23 77 103 121 161 253 721 847 1133 1771 2369 2783 7931 12463 16583 19481 26059 65293 87241 182413 286649 457051 718223 1501739 2006543 5027561 6725179 7900453 10512173 16519129 47076253 55303171 73976969 115633903 154679117 181710419 517838783 813746659 1082753819 1271972933 1701470287 5696226613 11910292009 18716173157 131013212099