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31991257320 = 23351127189431
BaseRepresentation
bin11101110010110100…
…111101100011101000
310001120112012020220020
4131302310331203220
51011004230213240
622410243400440
72211526125531
oct356264754350
9101515166806
1031991257320
111262725a140
126249983120
13302aa9ac79
141796aa9688
15c738610d0
hex772d3d8e8

31991257320 has 128 divisors (see below), whose sum is σ = 105086177280. Its totient is φ = 7726752000.

The previous prime is 31991257289. The next prime is 31991257367. The reversal of 31991257320 is 2375219913.

It is a Cunningham number, because it is equal to 1788612-1.

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, 313005 + ... + 402435.

It is an arithmetic number, because the mean of its divisors is an integer number (820985760).

Almost surely, 231991257320 is an apocalyptic number.

31991257320 is a gapful number since it is divisible by the number (30) 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 31991257320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52543088640).

31991257320 is an abundant number, since it is smaller than the sum of its proper divisors (73094919960).

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

31991257320 is a wasteful number, since it uses less digits than its factorization.

31991257320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89727 (or 89723 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The spelling of 31991257320 in words is "thirty-one billion, nine hundred ninety-one million, two hundred fifty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 271 330 440 542 660 813 1084 1320 1355 1626 2168 2710 2981 3252 4065 5420 5962 6504 8130 8943 10840 11924 14905 16260 17886 23848 29810 32520 35772 44715 59620 71544 89430 89431 119240 178860 178862 268293 357720 357724 447155 536586 715448 894310 983741 1073172 1341465 1788620 1967482 2146344 2682930 2951223 3577240 3934964 4918705 5365860 5902446 7869928 9837410 10731720 11804892 14756115 19674820 23609784 24235801 29512230 39349640 48471602 59024460 72707403 96943204 118048920 121179005 145414806 193886408 242358010 266593811 290829612 363537015 484716020 533187622 581659224 727074030 799781433 969432040 1066375244 1332969055 1454148060 1599562866 2132750488 2665938110 2908296120 3199125732 3998907165 5331876220 6398251464 7997814330 10663752440 15995628660 31991257320