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131344351253245 = 51353353108005897
BaseRepresentation
bin11101110111010011111101…
…011001100101001011111101
3122020001101201200001211211001
4131313103331121211023331
5114203421212410100440
61143202432330530301
736444213315624364
oct3567237531451375
9566041650054731
10131344351253245
1138939910162419
12128934b9596991
135839947058030
142461159b807db
15102b87beb0b9a
hex7774fd6652fd

131344351253245 has 32 divisors (see below), whose sum is σ = 173429822678112. Its totient is φ = 94893116178432.

The previous prime is 131344351253243. The next prime is 131344351253257. The reversal of 131344351253245 is 542352153443131.

It can be written as a sum of positive squares in 16 ways, for example, as 26065793288089 + 105278557965156 = 5105467^2 + 10260534^2 .

It is not a de Polignac number, because 131344351253245 - 21 = 131344351253243 is a prime.

It is a super-2 number, since 2×1313443512532452 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131344351253195 and 131344351253204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131344351253243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52786864 + ... + 55219033.

It is an arithmetic number, because the mean of its divisors is an integer number (5419681958691).

Almost surely, 2131344351253245 is an apocalyptic number.

It is an amenable number.

131344351253245 is a deficient number, since it is larger than the sum of its proper divisors (42085471424867).

131344351253245 is a wasteful number, since it uses less digits than its factorization.

131344351253245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108006321.

The product of its digits is 2592000, while the sum is 46.

The spelling of 131344351253245 in words is "one hundred thirty-one trillion, three hundred forty-four billion, three hundred fifty-one million, two hundred fifty-three thousand, two hundred forty-five".

Divisors: 1 5 13 53 65 265 353 689 1765 3445 4589 18709 22945 93545 243217 1216085 108005897 540029485 1404076661 5724312541 7020383305 28621562705 38126081641 74416063033 190630408205 372080315165 495639061333 2020682326973 2478195306665 10103411634865 26268870250649 131344351253245