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31320213100 = 22521192930649
BaseRepresentation
bin11101001010110101…
…001000011001101100
32222211202111200021121
4131022311020121230
51003120433304400
622215512510324
72156100263431
oct351265103154
988752450247
1031320213100
1112312497740
1260a10ab3a4
132c51a59497
14173190bb88
15c349ad21a
hex74ad4866c

31320213100 has 72 divisors (see below), whose sum is σ = 74225718000. Its totient is φ = 11376537600.

The previous prime is 31320213097. The next prime is 31320213157. The reversal of 31320213100 is 131202313.

It is a super-2 number, since 2×313202131002 (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1006576 + ... + 1037224.

It is an arithmetic number, because the mean of its divisors is an integer number (1030912750).

Almost surely, 231320213100 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 31320213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37112859000).

31320213100 is an abundant number, since it is smaller than the sum of its proper divisors (42905504900).

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

31320213100 is a wasteful number, since it uses less digits than its factorization.

31320213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31603 (or 31596 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31320213100 its reverse (131202313), we get a palindrome (31451415413).

The spelling of 31320213100 in words is "thirty-one billion, three hundred twenty million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 929 1100 1858 3716 4645 9290 10219 18580 20438 23225 30649 40876 46450 51095 61298 92900 102190 122596 153245 204380 255475 306490 337139 510950 612980 674278 766225 1021900 1348556 1532450 1685695 3064900 3371390 6742780 8428475 16856950 28472921 33713900 56945842 113891684 142364605 284729210 313202131 569458420 626404262 711823025 1252808524 1423646050 1566010655 2847292100 3132021310 6264042620 7830053275 15660106550 31320213100