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2031112320 = 27356191709
BaseRepresentation
bin111100100010000…
…0101000010000000
312020112220012022020
41321010011002000
513124431043240
6533313441440
7101222112156
oct17104050200
95215805266
102031112320
11952567826
12488270280
13264a4b713
14153a773d6
15bd4ab0d0
hex79105080

2031112320 has 128 divisors (see below), whose sum is σ = 6488424000. Its totient is φ = 540438528.

The previous prime is 2031112319. The next prime is 2031112327. The reversal of 2031112320 is 232111302.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2031112320.

It is not an unprimeable number, because it can be changed into a prime (2031112327) 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, 1187626 + ... + 1189334.

Almost surely, 22031112320 is an apocalyptic number.

2031112320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2031112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244212000).

2031112320 is an abundant number, since it is smaller than the sum of its proper divisors (4457311680).

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

2031112320 is a wasteful number, since it uses less digits than its factorization.

2031112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2031112320 is about 45067.8634949561. The cubic root of 2031112320 is about 1266.4206404289.

Adding to 2031112320 its reverse (232111302), we get a palindrome (2263223622).

The spelling of 2031112320 in words is "two billion, thirty-one million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 619 640 960 1238 1709 1857 1920 2476 3095 3418 3714 4952 5127 6190 6836 7428 8545 9285 9904 10254 12380 13672 14856 17090 18570 19808 20508 24760 25635 27344 29712 34180 37140 39616 41016 49520 51270 54688 59424 68360 74280 79232 82032 99040 102540 109376 118848 136720 148560 164064 198080 205080 218752 237696 273440 297120 328128 396160 410160 546880 594240 656256 820320 1057871 1093760 1188480 1640640 2115742 3173613 3281280 4231484 5289355 6347226 8462968 10578710 12694452 15868065 16925936 21157420 25388904 31736130 33851872 42314840 50777808 63472260 67703744 84629680 101555616 126944520 135407488 169259360 203111232 253889040 338518720 406222464 507778080 677037440 1015556160 2031112320