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131403311223441 = 35950091139313009
BaseRepresentation
bin11101111000001010110111…
…101100000001001010010001
3122020021000220200122122212220
4131320022313230001022101
5114210402440133122231
61143245503043411253
736451401356250255
oct3570126754011221
9566230820578786
10131403311223441
1138961916565714
12128a2a13083b29
1358423821a0a6a
142463d50466265
15102d17d276896
hex7782b7b01291

131403311223441 has 32 divisors (see below), whose sum is σ = 178238894256000. Its totient is φ = 86086056542208.

The previous prime is 131403311223439. The next prime is 131403311223539. The reversal of 131403311223441 is 144322113304131.

It is a happy number.

It is not a de Polignac number, because 131403311223441 - 21 = 131403311223439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131403311213441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10100947545 + ... + 10100960553.

It is an arithmetic number, because the mean of its divisors is an integer number (5569965445500).

Almost surely, 2131403311223441 is an apocalyptic number.

It is an amenable number.

131403311223441 is a deficient number, since it is larger than the sum of its proper divisors (46835583032559).

131403311223441 is a wasteful number, since it uses less digits than its factorization.

131403311223441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29473.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 131403311223441 its reverse (144322113304131), we get a palindrome (275725424527572).

The spelling of 131403311223441 in words is "one hundred thirty-one trillion, four hundred three billion, three hundred eleven million, two hundred twenty-three thousand, four hundred forty-one".

Divisors: 1 3 59 177 5009 11393 13009 15027 34179 39027 295531 672187 767531 886593 2016561 2302593 57067537 65162081 148211537 171202611 195486243 444634611 3366984683 3844562779 8744480683 10100954049 11533688337 26233442049 742391588833 2227174766499 43801103741147 131403311223441