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31112132122320 = 24351718142129959
BaseRepresentation
bin1110001001011110110111…
…00101010101011011010000
311002011021211222111012022120
413010233123211111123100
513034220121310403240
6150100414410134240
76360530431430604
oct704573345253320
9132137758435276
1031112132122320
119a05643545117
1235a58a6121380
131448b2785b812
14797b99c25504
1538e4708e7ad0
hex1c4bdb9556d0

31112132122320 has 160 divisors (see below), whose sum is σ = 102685205226240. Its totient is φ = 7765393858560.

The previous prime is 31112132122301. The next prime is 31112132122333. The reversal of 31112132122320 is 2322123121113.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20326500 + ... + 21803459.

It is an arithmetic number, because the mean of its divisors is an integer number (641782532664).

Almost surely, 231112132122320 is an apocalyptic number.

31112132122320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31112132122320 is an abundant number, since it is smaller than the sum of its proper divisors (71573073103920).

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

31112132122320 is a wasteful number, since it uses less digits than its factorization.

31112132122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42130173 (or 42130167 counting only the distinct ones).

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

Adding to 31112132122320 its reverse (2322123121113), we get a palindrome (33434255243433).

The spelling of 31112132122320 in words is "thirty-one trillion, one hundred twelve billion, one hundred thirty-two million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 181 204 240 255 272 340 362 408 510 543 680 724 816 905 1020 1086 1360 1448 1810 2040 2172 2715 2896 3077 3620 4080 4344 5430 6154 7240 8688 9231 10860 12308 14480 15385 18462 21720 24616 30770 36924 43440 46155 49232 61540 73848 92310 123080 147696 184620 246160 369240 738480 42129959 84259918 126389877 168519836 210649795 252779754 337039672 421299590 505559508 631949385 674079344 716209303 842599180 1011119016 1263898770 1432418606 1685198360 2022238032 2148627909 2527797540 2864837212 3370396720 3581046515 4297255818 5055595080 5729674424 7162093030 7625522579 8594511636 10111190160 10743139545 11459348848 14324186060 15251045158 17189023272 21486279090 22876567737 28648372120 30502090316 34378046544 38127612895 42972558180 45753135474 57296744240 61004180632 76255225790 85945116360 91506270948 114382838685 122008361264 129633883843 152510451580 171890232720 183012541896 228765677370 259267767686 305020903160 366025083792 388901651529 457531354740 518535535372 610041806320 648169419215 777803303058 915062709480 1037071070744 1296338838430 1555606606116 1830125418960 1944508257645 2074142141488 2592677676860 3111213212232 3889016515290 5185355353720 6222426424464 7778033030580 10370710707440 15556066061160 31112132122320