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10131310011344 = 2417208717847371
BaseRepresentation
bin1001001101101110000100…
…1000100110001111010000
31022212112200102011222011212
42103123201020212033100
52311442410330330334
633314132022155252
72063651210126564
oct223334110461720
938775612158155
1010131310011344
113256734419055
121177623282b28
135864bc561aa2
142705025a36a4
15128812cc2ece
hex936e12263d0

10131310011344 has 40 divisors (see below), whose sum is σ = 20794044506688. Its totient is φ = 4765390568960.

The previous prime is 10131310011323. The next prime is 10131310011359. The reversal of 10131310011344 is 44311001313101.

It is a super-2 number, since 2×101313100113442 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8356022 + ... + 9491349.

Almost surely, 210131310011344 is an apocalyptic number.

It is an amenable number.

10131310011344 is an abundant number, since it is smaller than the sum of its proper divisors (10662734495344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10131310011344 is a wasteful number, since it uses less digits than its factorization.

10131310011344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17849483 (or 17849477 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 10131310011344 its reverse (44311001313101), we get a palindrome (54442311324445).

The spelling of 10131310011344 in words is "ten trillion, one hundred thirty-one billion, three hundred ten million, eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 2087 4174 8348 16696 33392 35479 70958 141916 283832 567664 17847371 35694742 71389484 142778968 285557936 303405307 606810614 1213621228 2427242456 4854484912 37247463277 74494926554 148989853108 297979706216 595959412432 633206875709 1266413751418 2532827502836 5065655005672 10131310011344