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31131011320 = 23517196735963
BaseRepresentation
bin11100111111100011…
…011000100011111000
32222100120111020020021
4130333203120203320
51002224014330240
622145033340224
72151312141643
oct347743304370
988316436207
1031131011320
111222570a632
126049867674
132c217b3176
14171473aa5a
15c2308854a
hex73f8d88f8

31131011320 has 128 divisors (see below), whose sum is σ = 79235884800. Its totient is φ = 10937051136.

The previous prime is 31131011309. The next prime is 31131011323. The reversal of 31131011320 is 2311013113.

It is a junction number, because it is equal to n+sod(n) for n = 31131011294 and 31131011303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31131011323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 847659 + ... + 883621.

It is an arithmetic number, because the mean of its divisors is an integer number (619030350).

Almost surely, 231131011320 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 31131011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39617942400).

31131011320 is an abundant number, since it is smaller than the sum of its proper divisors (48104873480).

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

31131011320 is a wasteful number, since it uses less digits than its factorization.

31131011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36077 (or 36073 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 31131011320 its reverse (2311013113), we get a palindrome (33442024433).

The spelling of 31131011320 in words is "thirty-one billion, one hundred thirty-one million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 67 68 76 85 95 134 136 152 170 190 268 323 335 340 380 536 646 670 680 760 1139 1273 1292 1340 1615 2278 2546 2584 2680 3230 4556 5092 5695 6365 6460 9112 10184 11390 12730 12920 21641 22780 25460 35963 43282 45560 50920 71926 86564 108205 143852 173128 179815 216410 287704 359630 432820 611371 683297 719260 865640 1222742 1366594 1438520 2409521 2445484 2733188 3056855 3416485 4819042 4890968 5466376 6113710 6832970 9638084 11616049 12047605 12227420 13665940 19276168 23232098 24095210 24454840 27331880 40961857 45780899 46464196 48190420 58080245 81923714 91561798 92928392 96380840 116160490 163847428 183123596 204809285 228904495 232320980 327694856 366247192 409618570 457808990 464641960 778275283 819237140 915617980 1556550566 1638474280 1831235960 3113101132 3891376415 6226202264 7782752830 15565505660 31131011320