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131044410104311 = 1197191225756579
BaseRepresentation
bin11101110010111100100111…
…100000111001100111110111
3122011222201112020212202120001
4131302330213200321213313
5114134012422441314221
61142412545415052131
736413434434132334
oct3562744740714767
9564881466782501
10131044410104311
1138833693201870
121284534b971047
135817586493452
14245082479b98b
151023b74a79391
hex772f278399f7

131044410104311 has 8 divisors (see below), whose sum is σ = 142972247491200. Its totient is φ = 119119024250040.

The previous prime is 131044410104303. The next prime is 131044410104317. The reversal of 131044410104311 is 113401014440131.

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 131044410104311 - 23 = 131044410104303 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131044410104311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131044410104317) 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, 612771381 + ... + 612985198.

It is an arithmetic number, because the mean of its divisors is an integer number (17871530936400).

Almost surely, 2131044410104311 is an apocalyptic number.

131044410104311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131044410104311 is a deficient number, since it is larger than the sum of its proper divisors (11927837386889).

131044410104311 is a wasteful number, since it uses less digits than its factorization.

131044410104311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225766309.

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 131044410104311 its reverse (113401014440131), we get a palindrome (244445424544442).

The spelling of 131044410104311 in words is "one hundred thirty-one trillion, forty-four billion, four hundred ten million, one hundred four thousand, three hundred eleven".

Divisors: 1 11 9719 106909 1225756579 13483322369 11913128191301 131044410104311