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31001023212999 = 3753731759721683
BaseRepresentation
bin1110000110001111111001…
…11110011110110111000111
311001202200001121110210022220
413003013330332132313013
513030410043420303444
6145533401244423423
76346515153326430
oct703077476366707
9131680047423286
1031001023212999
119972507455024
123588257b47b73
13143b4cb6b1968
14792659664487
1538b61b2a9619
hex1c31fcf9edc7

31001023212999 has 64 divisors (see below), whose sum is σ = 48795319931904. Its totient is φ = 17140772054016.

The previous prime is 31001023212997. The next prime is 31001023213007. The reversal of 31001023212999 is 99921232010013.

It is not a de Polignac number, because 31001023212999 - 21 = 31001023212997 is a prime.

It is a super-2 number, since 2×310010232129992 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31001023212999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31001023212997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1429727812 + ... + 1429749494.

It is an arithmetic number, because the mean of its divisors is an integer number (762426873936).

Almost surely, 231001023212999 is an apocalyptic number.

31001023212999 is a deficient number, since it is larger than the sum of its proper divisors (17794296718905).

31001023212999 is a wasteful number, since it uses less digits than its factorization.

31001023212999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39416.

The product of its (nonzero) digits is 52488, while the sum is 42.

The spelling of 31001023212999 in words is "thirty-one trillion, one billion, twenty-three million, two hundred twelve thousand, nine hundred ninety-nine".

Divisors: 1 3 7 21 53 73 159 219 371 511 1113 1533 3869 11607 17597 21683 27083 52791 65049 81249 123179 151781 369537 455343 932641 1149199 1284581 1582859 2797923 3447597 3853743 4748577 6528487 8044393 8992067 11080013 19585461 24133179 26976201 33240039 68082793 83891527 204248379 251674581 381555751 476579551 587240689 1144667253 1429738653 1761722067 2670890257 8012670771 20222454803 27853569823 60667364409 83560709469 141557183621 194974988761 424671550863 584924966283 1476239200619 4428717601857 10333674404333 31001023212999