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212100313300 = 22523757324409
BaseRepresentation
bin1100010110001000101…
…0011111000011010100
3202021110122011021211021
43011202022133003110
511433340140011200
6241234301450524
721216020626231
oct3054212370324
9667418137737
10212100313300
1181a51108727
1235133b70a44
13170021a6c85
14a3a1172788
1557b590c41a
hex316229f0d4

212100313300 has 36 divisors (see below), whose sum is σ = 472697084860. Its totient is φ = 82547147520.

The previous prime is 212100313297. The next prime is 212100313301. The reversal of 212100313300 is 3313001212.

It can be written as a sum of positive squares in 6 ways, for example, as 6069656464 + 206030656836 = 77908^2 + 453906^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100313301) 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 11 ways as a sum of consecutive naturals, for example, 28658505 + ... + 28665904.

Almost surely, 2212100313300 is an apocalyptic number.

212100313300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100313300 is an abundant number, since it is smaller than the sum of its proper divisors (260596771560).

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

212100313300 is a wasteful number, since it uses less digits than its factorization.

212100313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57324460 (or 57324453 counting only the distinct ones).

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

Adding to 212100313300 its reverse (3313001212), we get a palindrome (215413314512).

The spelling of 212100313300 in words is "two hundred twelve billion, one hundred million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 57324409 114648818 229297636 286622045 573244090 1146488180 1433110225 2121003133 2866220450 4242006266 5732440900 8484012532 10605015665 21210031330 42420062660 53025078325 106050156650 212100313300