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131010400232431 = 2663329914912563
BaseRepresentation
bin11101110010011100111100…
…010111100010001111101111
3122011212110202001022021001121
4131302130330113202033233
5114132433244424414211
61142345202541321411
736411121564033036
oct3562347427421757
9564773661267047
10131010400232431
1138820220551735
121283a839b66267
1358142c64314c5
14244cd1998d71d
151022d33dca271
hex77273c5e23ef

131010400232431 has 8 divisors (see below), whose sum is σ = 131099332636800. Its totient is φ = 130921497665112.

The previous prime is 131010400232429. The next prime is 131010400232441. The reversal of 131010400232431 is 134232004010131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131010400232431 - 21 = 131010400232429 is a prime.

It is a super-2 number, since 2×1310104002324312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131010400232396 and 131010400232405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010400232401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1328956 + ... + 16241518.

It is an arithmetic number, because the mean of its divisors is an integer number (16387416579600).

Almost surely, 2131010400232431 is an apocalyptic number.

131010400232431 is a deficient number, since it is larger than the sum of its proper divisors (88932404369).

131010400232431 is a wasteful number, since it uses less digits than its factorization.

131010400232431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14918525.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 131010400232431 its reverse (134232004010131), we get a palindrome (265242404242562).

The spelling of 131010400232431 in words is "one hundred thirty-one trillion, ten billion, four hundred million, two hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 2663 3299 8785237 14912563 39712155269 49196545337 131010400232431