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31312222121120 = 2552925726258069
BaseRepresentation
bin1110001111010011100011…
…11000000110110010100000
311002212102022121010021221212
413013221301320012302200
513101004412330333440
6150332345233205252
76411143024364023
oct707516170066240
9132772277107855
1031312222121120
119a82491096796
123618627a00828
1314619646cc205
147a373bc531ba
15394781be8465
hex1c7a71e06ca0

31312222121120 has 96 divisors (see below), whose sum is σ = 76823760560400. Its totient is φ = 12045941211136.

The previous prime is 31312222121111. The next prime is 31312222121129. The reversal of 31312222121120 is 2112122221313.

It is an interprime number because it is at equal distance from previous prime (31312222121111) and next prime (31312222121129).

It can be written as a sum of positive squares in 8 ways, for example, as 28987585216144 + 2324636904976 = 5384012^2 + 1524676^2 .

It is not an unprimeable number, because it can be changed into a prime (31312222121129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11936555 + ... + 14321514.

Almost surely, 231312222121120 is an apocalyptic number.

It is an amenable number.

31312222121120 is an abundant number, since it is smaller than the sum of its proper divisors (45511538439280).

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

31312222121120 is a wasteful number, since it uses less digits than its factorization.

31312222121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26258370 (or 26258362 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 31312222121120 its reverse (2112122221313), we get a palindrome (33424344342433).

The spelling of 31312222121120 in words is "thirty-one trillion, three hundred twelve billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 257 290 464 514 580 928 1028 1160 1285 2056 2320 2570 4112 4640 5140 7453 8224 10280 14906 20560 29812 37265 41120 59624 74530 119248 149060 238496 298120 596240 1192480 26258069 52516138 105032276 131290345 210064552 262580690 420129104 525161380 761484001 840258208 1050322760 1522968002 2100645520 3045936004 3807420005 4201291040 6091872008 6748323733 7614840010 12183744016 13496647466 15229680020 24367488032 26993294932 30459360040 33741618665 53986589864 60918720080 67483237330 107973179728 121837440160 134966474660 195701388257 215946359456 269932949320 391402776514 539865898640 782805553028 978506941285 1079731797280 1565611106056 1957013882570 3131222212112 3914027765140 6262444424224 7828055530280 15656111060560 31312222121120