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31312233330 = 235741133847
BaseRepresentation
bin11101001010010110…
…101100001101110010
32222211012111021002120
4131022112230031302
51003111412431310
622215025455110
72155642410000
oct351226541562
988735437076
1031312233330
1112308a37394
12609a4a1496
132c501c4321
141730831a70
15c33e33b70
hex74a5ac372

31312233330 has 160 divisors (see below), whose sum is σ = 88467859584. Its totient is φ = 7091900928.

The previous prime is 31312233317. The next prime is 31312233391. The reversal of 31312233330 is 3333221313.

It is a super-2 number, since 2×313122333302 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31312233330.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8137467 + ... + 8141313.

Almost surely, 231312233330 is an apocalyptic number.

31312233330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31312233330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44233929792).

31312233330 is an abundant number, since it is smaller than the sum of its proper divisors (57155626254).

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

31312233330 is a wasteful number, since it uses less digits than its factorization.

31312233330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3998 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 31312233330 its reverse (3333221313), we get a palindrome (34645454643).

The spelling of 31312233330 in words is "thirty-one billion, three hundred twelve million, two hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 113 147 210 226 245 294 339 343 490 565 678 686 735 791 1029 1130 1470 1582 1695 1715 2058 2373 2401 3390 3430 3847 3955 4746 4802 5145 5537 7203 7694 7910 10290 11074 11541 11865 12005 14406 16611 19235 23082 23730 24010 26929 27685 33222 36015 38470 38759 53858 55370 57705 72030 77518 80787 83055 115410 116277 134645 161574 166110 188503 193795 232554 269290 271313 377006 387590 403935 434711 542626 565509 581385 807870 813939 869422 942515 1131018 1162770 1304133 1319521 1356565 1627878 1885030 2173555 2608266 2639042 2713130 2827545 3042977 3958563 4069695 4347110 5655090 6085954 6520665 6597605 7917126 8139390 9128931 9236647 13041330 13195210 15214885 18257862 18473294 19792815 21300839 27709941 30429770 39585630 42601678 45644655 46183235 55419882 63902517 91289310 92366470 106504195 127805034 138549705 149105873 213008390 277099410 298211746 319512585 447317619 639025170 745529365 894635238 1043741111 1491058730 2087482222 2236588095 3131223333 4473176190 5218705555 6262446666 10437411110 15656116665 31312233330