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131413114360 = 23511298666169
BaseRepresentation
bin111101001100011010…
…1001111110111111000
3110120012101221220002201
41322120311033313320
54123113224124420
6140211555035544
712331353020203
oct1723065176770
9416171856081
10131413114360
1150806305940
1221575b9bbb4
13c513895588
14650903293a
153641e4910a
hex1e98d4fdf8

131413114360 has 32 divisors (see below), whose sum is σ = 322559463600. Its totient is φ = 47786586880.

The previous prime is 131413114309. The next prime is 131413114367. The reversal of 131413114360 is 63411314131.

It is a happy number.

131413114360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413114367) 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 7 ways as a sum of consecutive naturals, for example, 149332645 + ... + 149333524.

Almost surely, 2131413114360 is an apocalyptic number.

131413114360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131413114360 is an abundant number, since it is smaller than the sum of its proper divisors (191146349240).

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

131413114360 is a wasteful number, since it uses less digits than its factorization.

131413114360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298666191 (or 298666187 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 131413114360 its reverse (63411314131), we get a palindrome (194824428491).

The spelling of 131413114360 in words is "one hundred thirty-one billion, four hundred thirteen million, one hundred fourteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 298666169 597332338 1194664676 1493330845 2389329352 2986661690 3285327859 5973323380 6570655718 11946646760 13141311436 16426639295 26282622872 32853278590 65706557180 131413114360