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31132320222120 = 23351347424608841
BaseRepresentation
bin1110001010000100011101…
…11000110100101110101000
311002020012221220221220222120
413011002032320310232220
513040032442434101440
6150113553535151240
76362143626436455
oct705021670645650
9132205856856876
1031132320222120
119a13163169317
1235a979b075520
13144a9c41b4cc0
14798b530b282c
1538ec52e1bdd0
hex1c508ee34ba8

31132320222120 has 128 divisors (see below), whose sum is σ = 102721371056640. Its totient is φ = 7500290549760.

The previous prime is 31132320222071. The next prime is 31132320222127. The reversal of 31132320222120 is 2122202323113.

It is a super-2 number, since 2×311323202221202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (31132320222127) 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, 212231101 + ... + 212377740.

It is an arithmetic number, because the mean of its divisors is an integer number (802510711380).

Almost surely, 231132320222120 is an apocalyptic number.

31132320222120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31132320222120 is an abundant number, since it is smaller than the sum of its proper divisors (71589050834520).

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

31132320222120 is a wasteful number, since it uses less digits than its factorization.

31132320222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424608915 (or 424608911 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31132320222120 its reverse (2122202323113), we get a palindrome (33254522545233).

The spelling of 31132320222120 in words is "thirty-one trillion, one hundred thirty-two billion, three hundred twenty million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 47 52 60 65 78 94 104 120 130 141 156 188 195 235 260 282 312 376 390 470 520 564 611 705 780 940 1128 1222 1410 1560 1833 1880 2444 2820 3055 3666 4888 5640 6110 7332 9165 12220 14664 18330 24440 36660 73320 424608841 849217682 1273826523 1698435364 2123044205 2547653046 3396870728 4246088410 5095306092 5519914933 6369132615 8492176820 10190612184 11039829866 12738265230 16559744799 16984353640 19956615527 22079659732 25476530460 27599574665 33119489598 39913231054 44159319464 50953060920 55199149330 59869846581 66238979196 79826462108 82798723995 99783077635 110398298660 119739693162 132477958392 159652924216 165597447990 199566155270 220796597320 239479386324 259436001851 299349232905 331194895980 399132310540 478958772648 518872003702 598698465810 662389791960 778308005553 798264621080 1037744007404 1197396931620 1297180009255 1556616011106 2075488014808 2394793863240 2594360018510 3113232022212 3891540027765 5188720037020 6226464044424 7783080055530 10377440074040 15566160111060 31132320222120