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31130113203319 = 131719231132852519
BaseRepresentation
bin1110001010000000010110…
…10101101101110001110111
311002020000021010001202100111
413011000023111231301313
513040013432440001234
6150112550535123451
76362035140205354
oct705001325556167
9132200233052314
1031130113203319
119a12230385439
1235a9283b13587
13144a731b96a10
147989c3d2962b
1538eb742b5664
hex1c500b56dc77

31130113203319 has 64 divisors (see below), whose sum is σ = 39334653388800. Its totient is φ = 24290856640512.

The previous prime is 31130113203247. The next prime is 31130113203323. The reversal of 31130113203319 is 91330231103113.

It is a cyclic number.

It is not a de Polignac number, because 31130113203319 - 227 = 31129978985591 is a prime.

It is a super-2 number, since 2×311301132033192 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31130113203349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9486942 + ... + 12339460.

It is an arithmetic number, because the mean of its divisors is an integer number (614603959200).

Almost surely, 231130113203319 is an apocalyptic number.

31130113203319 is a deficient number, since it is larger than the sum of its proper divisors (8204540185481).

31130113203319 is a wasteful number, since it uses less digits than its factorization.

31130113203319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852704.

The product of its (nonzero) digits is 4374, while the sum is 31.

The spelling of 31130113203319 in words is "thirty-one trillion, one hundred thirty billion, one hundred thirteen million, two hundred three thousand, three hundred nineteen".

Divisors: 1 13 17 19 23 113 221 247 299 323 391 437 1469 1921 2147 2599 4199 5083 5681 7429 24973 27911 33787 36499 44183 49381 96577 474487 574379 641953 839477 2852519 10913201 37082747 48492823 54197861 65607937 322334647 630406699 704572193 852903181 921363637 1115334929 1246550803 4190350411 5479688999 6124358293 7413696881 11977727281 14499354077 16205160439 21191363651 71235956987 79616657809 96378059453 104114090981 126032846977 140860240739 275487727463 1353483182753 1638427010701 1831183129607 2394624092563 31130113203319