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2131322310 = 2325136129863
BaseRepresentation
bin111111100001001…
…0110010111000110
312111112110101120100
41333002112113012
513331104303220
6551253344530
7103546640445
oct17702262706
95445411510
102131322310
119a4091aa7
124b5938146
1327c736980
141630c0d5c
15c71a2d90
hex7f0965c6

2131322310 has 96 divisors (see below), whose sum is σ = 6065736768. Its totient is φ = 516015360.

The previous prime is 2131322309. The next prime is 2131322339. The reversal of 2131322310 is 132231312.

2131322310 is a `hidden beast` number, since 2 + 1 + 31 + 322 + 310 = 666.

It is a super-2 number, since 2×21313223102 = 9085069578207472200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 56439 + ... + 86301.

It is an arithmetic number, because the mean of its divisors is an integer number (63184758).

Almost surely, 22131322310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131322310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032868384).

2131322310 is an abundant number, since it is smaller than the sum of its proper divisors (3934414458).

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

2131322310 is a wasteful number, since it uses less digits than its factorization.

2131322310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29950 (or 29947 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2131322310 is about 46166.2464361139. The cubic root of 2131322310 is about 1286.9145477864.

Adding to 2131322310 its reverse (132231312), we get a palindrome (2263553622).

The spelling of 2131322310 in words is "two billion, one hundred thirty-one million, three hundred twenty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 61 65 78 90 117 122 130 183 195 234 305 366 390 549 585 610 793 915 1098 1170 1586 1830 2379 2745 3965 4758 5490 7137 7930 11895 14274 23790 29863 35685 59726 71370 89589 149315 179178 268767 298630 388219 447945 537534 776438 895890 1164657 1343835 1821643 1941095 2329314 2687670 3493971 3643286 3882190 5464929 5823285 6987942 9108215 10929858 11646570 16394787 17469855 18216430 23681359 27324645 32789574 34939710 47362718 54649290 71044077 81973935 118406795 142088154 163947870 213132231 236813590 355220385 426264462 710440770 1065661155 2131322310