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31290829770 = 23529416713093
BaseRepresentation
bin11101001001000101…
…000010101111001010
32222202201012211221010
4131021011002233022
51003040423023040
622212543024350
72155262443644
oct351105025712
988681184833
1031290829770
11122a79485a2
12609329b0b6
132c4893c0b5
14172ba5d894
15c32106e80
hex749142bca

31290829770 has 128 divisors (see below), whose sum is σ = 80776362240. Its totient is φ = 7742085120.

The previous prime is 31290829747. The next prime is 31290829777. The reversal of 31290829770 is 7792809213.

It is not an unprimeable number, because it can be changed into a prime (31290829777) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2383344 + ... + 2396436.

It is an arithmetic number, because the mean of its divisors is an integer number (631065330).

Almost surely, 231290829770 is an apocalyptic number.

31290829770 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 31290829770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40388181120).

31290829770 is an abundant number, since it is smaller than the sum of its proper divisors (49485532470).

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

31290829770 is a wasteful number, since it uses less digits than its factorization.

31290829770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13240.

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 31290829770 in words is "thirty-one billion, two hundred ninety million, eight hundred twenty-nine thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 29 30 41 58 67 82 87 123 134 145 174 201 205 246 290 335 402 410 435 615 670 870 1005 1189 1230 1943 2010 2378 2747 3567 3886 5494 5829 5945 7134 8241 9715 11658 11890 13093 13735 16482 17835 19430 26186 27470 29145 35670 39279 41205 58290 65465 78558 79663 82410 130930 159326 196395 238989 379697 392790 398315 477978 536813 759394 796630 877231 1073626 1139091 1194945 1610439 1754462 1898485 2278182 2389890 2631693 2684065 3220878 3796970 4386155 5263386 5368130 5695455 8052195 8772310 11390910 13158465 15567577 16104390 25439699 26316930 31135154 35966471 46702731 50879398 71932942 76319097 77837885 93405462 107899413 127198495 152638194 155675770 179832355 215798826 233513655 254396990 359664710 381595485 467027310 539497065 763190970 1043027659 1078994130 2086055318 3129082977 5215138295 6258165954 10430276590 15645414885 31290829770