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131333105444355 = 3252918513454319
BaseRepresentation
bin11101110111001001011111…
…000110001110011000000011
3122020000022200221002120011200
4131313021133012032120003
5114203230144443204410
61143153332402112243
736443334533053503
oct3567113706163003
9566008627076150
10131333105444355
113893506a1a3791
121289129b34b683
135838874227849
1424607b03a5a03
15102b41ea693c0
hex77725f18e603

131333105444355 has 12 divisors (see below), whose sum is σ = 227644049436960. Its totient is φ = 70044322903632.

The previous prime is 131333105444353. The next prime is 131333105444369. The reversal of 131333105444355 is 553444501333131.

131333105444355 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 3 + 10 + 544 + 43 + 55 = 666.

It is not a de Polignac number, because 131333105444355 - 21 = 131333105444353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2918513454319 = 131333105444355 / (1 + 3 + 1 + 3 + 3 + 3 + 1 + 0 + 5 + 4 + 4 + 4 + 3 + 5 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 131333105444355.

It is not an unprimeable number, because it can be changed into a prime (131333105444353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1459256727115 + ... + 1459256727204.

It is an arithmetic number, because the mean of its divisors is an integer number (18970337453080).

Almost surely, 2131333105444355 is an apocalyptic number.

131333105444355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131333105444355 is a deficient number, since it is larger than the sum of its proper divisors (96310943992605).

131333105444355 is a wasteful number, since it uses less digits than its factorization.

131333105444355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918513454330 (or 2918513454327 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

Adding to 131333105444355 its reverse (553444501333131), we get a palindrome (684777606777486).

The spelling of 131333105444355 in words is "one hundred thirty-one trillion, three hundred thirty-three billion, one hundred five million, four hundred forty-four thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 45 2918513454319 8755540362957 14592567271595 26266621088871 43777701814785 131333105444355