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100330031300 = 22524092453057
BaseRepresentation
bin101110101110000100…
…0101100100011000100
3100120222011122200002012
41131130020230203010
53120433442000200
6114031352433352
710151162123612
oct1353410544304
9316864580065
10100330031300
1139605761544
12175403a8858
1395cbcc3835
144bdac106b2
1529231cba35
hex175c22c8c4

100330031300 has 36 divisors (see below), whose sum is σ = 218248570260. Its totient is φ = 40033873920.

The previous prime is 100330031293. The next prime is 100330031311. The reversal of 100330031300 is 3130033001.

It can be written as a sum of positive squares in 6 ways, for example, as 1453744384 + 98876286916 = 38128^2 + 314446^2 .

It is a super-2 number, since 2×1003300313002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1185629 + ... + 1267428.

It is an arithmetic number, because the mean of its divisors is an integer number (6062460285).

Almost surely, 2100330031300 is an apocalyptic number.

100330031300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100330031300 is an abundant number, since it is smaller than the sum of its proper divisors (117918538960).

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

100330031300 is a wasteful number, since it uses less digits than its factorization.

100330031300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453480 (or 2453473 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 100330031300 its reverse (3130033001), we get a palindrome (103460064301).

The spelling of 100330031300 in words is "one hundred billion, three hundred thirty million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 409 818 1636 2045 4090 8180 10225 20450 40900 2453057 4906114 9812228 12265285 24530570 49061140 61326425 122652850 245305700 1003300313 2006600626 4013201252 5016501565 10033003130 20066006260 25082507825 50165015650 100330031300