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131232413430 = 232512711481401
BaseRepresentation
bin111101000111000001…
…1111011011011110110
3110112201210221100000200
41322032003323123312
54122230444212210
6140142022021330
712324030052266
oct1721603733366
9415653840020
10131232413430
1150723304628
1221525577846
13c4b5307651
1464cd0357a6
1536311530c0
hex1e8e0fb6f6

131232413430 has 48 divisors (see below), whose sum is σ = 343890952704. Its totient is φ = 34719753600.

The previous prime is 131232413407. The next prime is 131232413437. The reversal of 131232413430 is 34314232131.

It is a happy number.

131232413430 is a `hidden beast` number, since 1 + 312 + 3 + 2 + 4 + 1 + 343 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131232413394 and 131232413403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131232413437) 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 23 ways as a sum of consecutive naturals, for example, 5729271 + ... + 5752130.

It is an arithmetic number, because the mean of its divisors is an integer number (7164394848).

Almost surely, 2131232413430 is an apocalyptic number.

131232413430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131232413430 is an abundant number, since it is smaller than the sum of its proper divisors (212658539274).

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

131232413430 is a wasteful number, since it uses less digits than its factorization.

131232413430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11481541 (or 11481538 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131232413430 its reverse (34314232131), we get a palindrome (165546645561).

The spelling of 131232413430 in words is "one hundred thirty-one billion, two hundred thirty-two million, four hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 635 762 1143 1270 1905 2286 3810 5715 11430 11481401 22962802 34444203 57407005 68888406 103332609 114814010 172221015 206665218 344442030 516663045 1033326090 1458137927 2916275854 4374413781 7290689635 8748827562 13123241343 14581379270 21872068905 26246482686 43744137810 65616206715 131232413430