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31000123302320 = 2457922323992033
BaseRepresentation
bin1110000110001110001110…
…10101100110000110110000
311001202120201220010120221202
413003013013111212012300
513030401223031133240
6145533132100310332
76346453645242224
oct703070725460660
9131676656116852
1031000123302320
119972095483897
1235880466a23a8
13143b3b7119b33
147925b1d2c784
1538b5b7299315
hex1c31c75661b0

31000123302320 has 160 divisors (see below), whose sum is σ = 73622487859200. Its totient is φ = 12137056468992.

The previous prime is 31000123302311. The next prime is 31000123302347. The reversal of 31000123302320 is 2320332100013.

It is a super-2 number, since 2×310001233023202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 31000123302292 and 31000123302301.

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, 336791024 + ... + 336883056.

It is an arithmetic number, because the mean of its divisors is an integer number (460140549120).

Almost surely, 231000123302320 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 31000123302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36811243929600).

31000123302320 is an abundant number, since it is smaller than the sum of its proper divisors (42622364556880).

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

31000123302320 is a wasteful number, since it uses less digits than its factorization.

31000123302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92587 (or 92581 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 31000123302320 its reverse (2320332100013), we get a palindrome (33320455402333).

The spelling of 31000123302320 in words is "thirty-one trillion, one hundred twenty-three million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 223 239 316 395 446 478 632 790 892 956 1115 1195 1264 1580 1784 1912 2230 2390 3160 3568 3824 4460 4780 6320 8920 9560 17617 17840 18881 19120 35234 37762 53297 70468 75524 88085 92033 94405 106594 140936 151048 176170 184066 188810 213188 266485 281872 302096 352340 368132 377620 426376 460165 532970 704680 736264 755240 852752 920330 1065940 1409360 1472528 1510480 1840660 2131880 3681320 4210463 4263760 7270607 7362640 8420926 14541214 16841852 20523359 21052315 21995887 29082428 33683704 36353035 41046718 42104630 43991774 58164856 67367408 72706070 82093436 84209260 87983548 102616795 109979435 116329712 145412140 164186872 168418520 175967096 205233590 219958870 290824280 328373744 336837040 351934192 410467180 439917740 581648560 820934360 879835480 1621345361 1641868720 1737675073 1759670960 3242690722 3475350146 4905082801 6485381444 6950700292 8106726805 8688375365 9810165602 12970762888 13901400584 16213453610 17376750730 19620331204 24525414005 25941525776 27802801168 32426907220 34753501460 39240662408 49050828010 64853814440 69507002920 78481324816 98101656020 129707628880 139014005840 196203312040 387501541279 392406624080 775003082558 1550006165116 1937507706395 3100012330232 3875015412790 6200024660464 7750030825580 15500061651160 31000123302320