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31213111202322 = 23719179241906701
BaseRepresentation
bin1110001100011010111100…
…11001111101001000010010
311002111221111101102221211120
413012031132121331020102
513042343422431433242
6150215034430223110
76401033664440010
oct706153631751022
9132457441387746
1031213111202322
119a44451605545
123601387954a96
1314554cb16232a
1479ca18d098b0
15391dd0a801ec
hex1c635e67d212

31213111202322 has 128 divisors (see below), whose sum is σ = 75832203110400. Its totient is φ = 8366592384000.

The previous prime is 31213111202311. The next prime is 31213111202323. The reversal of 31213111202322 is 22320211131213.

It is a junction number, because it is equal to n+sod(n) for n = 31213111202292 and 31213111202301.

It is not an unprimeable number, because it can be changed into a prime (31213111202323) 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, 33971572 + ... + 34878272.

It is an arithmetic number, because the mean of its divisors is an integer number (592439086800).

Almost surely, 231213111202322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31213111202322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37916101555200).

31213111202322 is an abundant number, since it is smaller than the sum of its proper divisors (44619091908078).

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

31213111202322 is a wasteful number, since it uses less digits than its factorization.

31213111202322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907152.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 31213111202322 its reverse (22320211131213), we get a palindrome (53533322333535).

The spelling of 31213111202322 in words is "thirty-one trillion, two hundred thirteen billion, one hundred eleven million, two hundred two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 179 241 266 358 399 482 537 723 798 1074 1253 1446 1687 2506 3374 3401 3759 4579 5061 6802 7518 9158 10122 10203 13737 20406 23807 27474 32053 43139 47614 64106 71421 86278 96159 129417 142842 192318 258834 301973 603946 819641 905919 906701 1639282 1811838 1813402 2458923 2720103 4917846 5440206 5737487 6346907 11474974 12693814 17212461 17227319 19040721 34424922 34454638 38081442 51681957 103363914 120591233 162299479 218514941 241182466 324598958 361773699 437029882 486898437 655544823 723547398 973796874 1136096353 1311089646 1529604587 2272192706 3059209174 3083690101 3408289059 4151783879 4588813761 6167380202 6816578118 8303567758 9177627522 9251070303 12455351637 18502140606 21585830707 24910703274 29062487153 39114174439 43171661414 58124974306 64757492121 78228348878 87187461459 117342523317 129514984242 174374922918 234685046634 273799221073 547598442146 743169314341 821397663219 1486338628682 1642795326438 2229507943023 4459015886046 5202185200387 10404370400774 15606555601161 31213111202322