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31211031123104 = 2573113733273617
BaseRepresentation
bin1110001100010111000100…
…11011000101010010100000
311002111202010102101222120112
413012023202123011102200
513042330142431414404
6150214052203030452
76400631306162060
oct706134233052240
9132452112358515
1031211031123104
119a43584443208
123600aa720b428
13145525922a821
1479c89c9673a0
15391d0d15056e
hex1c62e26c54a0

31211031123104 has 96 divisors (see below), whose sum is σ = 72542955856896. Its totient is φ = 12935235317760.

The previous prime is 31211031123091. The next prime is 31211031123113. The reversal of 31211031123104 is 40132113011213.

It is a self number, because there is not a number n which added to its sum of digits gives 31211031123104.

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 15 ways as a sum of consecutive naturals, for example, 7897304 + ... + 11170920.

It is an arithmetic number, because the mean of its divisors is an integer number (755655790176).

Almost surely, 231211031123104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31211031123104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36271477928448).

31211031123104 is an abundant number, since it is smaller than the sum of its proper divisors (41331924733792).

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

31211031123104 is a wasteful number, since it uses less digits than its factorization.

31211031123104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3275038 (or 3275030 counting only the distinct ones).

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

Adding to 31211031123104 its reverse (40132113011213), we get a palindrome (71343144134317).

The spelling of 31211031123104 in words is "thirty-one trillion, two hundred eleven billion, thirty-one million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1373 1736 2746 3472 5492 6944 9611 10984 19222 21968 38444 42563 43936 76888 85126 153776 170252 297941 307552 340504 595882 681008 1191764 1362016 2383528 3273617 4767056 6547234 9534112 13094468 22915319 26188936 45830638 52377872 91661276 101482127 104755744 183322552 202964254 366645104 405928508 710374889 733290208 811857016 1420749778 1623714032 2841499556 3247428064 4494676141 5682999112 8989352282 11365998224 17978704564 22731996448 31462732987 35957409128 62925465974 71914818256 125850931948 139334960371 143829636512 251701863896 278669920742 503403727792 557339841484 975344722597 1006807455584 1114679682968 1950689445194 2229359365936 3901378890388 4458718731872 7802757780776 15605515561552 31211031123104