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231282131360 = 2557797259099
BaseRepresentation
bin1101011101100101111…
…1010100000110100000
3211002222110010121110012
43113121133110012200
512242131211200420
6254125522424052
722465246452110
oct3273137240640
9732873117405
10231282131360
118a0a4808525
12389a7b02028
1318a6b203c87
14b2a0919040
15603990ddc5
hex35d97d41a0

231282131360 has 96 divisors (see below), whose sum is σ = 625247683200. Its totient is φ = 79196931072.

The previous prime is 231282131359. The next prime is 231282131363. The reversal of 231282131360 is 63131282132.

231282131360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (231282131363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 763091 + ... + 1022189.

It is an arithmetic number, because the mean of its divisors is an integer number (6512996700).

Almost surely, 2231282131360 is an apocalyptic number.

231282131360 is a gapful number since it is divisible by the number (20) 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 231282131360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312623841600).

231282131360 is an abundant number, since it is smaller than the sum of its proper divisors (393965551840).

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

231282131360 is a wasteful number, since it uses less digits than its factorization.

231282131360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259918 (or 259910 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 231282131360 in words is "two hundred thirty-one billion, two hundred eighty-two million, one hundred thirty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 797 1120 1594 3188 3985 5579 6376 7970 11158 12752 15940 22316 25504 27895 31880 44632 55790 63760 89264 111580 127520 178528 223160 259099 446320 518198 892640 1036396 1295495 1813693 2072792 2590990 3627386 4145584 5181980 7254772 8291168 9068465 10363960 14509544 18136930 20727920 29019088 36273860 41455840 58038176 72547720 145095440 206501903 290190880 413003806 826007612 1032509515 1445513321 1652015224 2065019030 2891026642 3304030448 4130038060 5782053284 6608060896 7227566605 8260076120 11564106568 14455133210 16520152240 23128213136 28910266420 33040304480 46256426272 57820532840 115641065680 231282131360