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31313470280 = 23517193397601
BaseRepresentation
bin11101001010011011…
…011010001101001000
32222211021211002212112
4131022123122031020
51003112222022110
622215112201452
72155656051161
oct351233321510
988737732775
1031313470280
1112309701764
12609a999288
132c50538351
141730a74768
15c340ca405
hex74a6da348

31313470280 has 128 divisors (see below), whose sum is σ = 75300230880. Its totient is φ = 11678515200.

The previous prime is 31313470249. The next prime is 31313470283. The reversal of 31313470280 is 8207431313.

It can be written as a sum of positive squares in 16 ways, for example, as 10224040996 + 21089429284 = 101114^2 + 145222^2 .

It is not an unprimeable number, because it can be changed into a prime (31313470283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52101980 + ... + 52102580.

Almost surely, 231313470280 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 31313470280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37650115440).

31313470280 is an abundant number, since it is smaller than the sum of its proper divisors (43986760600).

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

31313470280 is a wasteful number, since it uses less digits than its factorization.

31313470280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 31313470280 in words is "thirty-one billion, three hundred thirteen million, four hundred seventy thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 193 340 386 397 601 680 772 794 965 1202 1544 1588 1930 1985 2404 3005 3176 3281 3860 3970 4808 6010 6562 6749 7720 7940 10217 12020 13124 13498 15880 16405 20434 24040 26248 26996 32810 33745 40868 51085 53992 65620 67490 76621 81736 102170 115993 131240 134980 153242 204340 231986 238597 269960 306484 383105 408680 463972 477194 579965 612968 766210 927944 954388 1159930 1192985 1302557 1532420 1908776 1971881 2319860 2385970 2605114 3064840 3943762 4056149 4639720 4771940 5210228 6512785 7887524 8112298 9543880 9859405 10420456 13025570 15775048 16224596 19718810 20280745 26051140 32449192 39437620 40561490 46049221 52102280 78875240 81122980 92098442 162245960 184196884 230246105 368393768 460492210 782836757 920984420 1565673514 1841968840 3131347028 3914183785 6262694056 7828367570 15656735140 31313470280