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212013502100 = 22522120135021
BaseRepresentation
bin1100010101110011111…
…1010100111010010100
3202021020120210211020122
43011130333110322110
511433200424031400
6241221521051112
721213615014321
oct3053477247224
9667216724218
10212013502100
1181a07105134
123510aa86a98
1316cba2005ba
14a393815b48
1557aceb0685
hex315cfd4e94

212013502100 has 18 divisors (see below), whose sum is σ = 460069299774. Its totient is φ = 84805400800.

The previous prime is 212013502091. The next prime is 212013502111. The reversal of 212013502100 is 1205310212.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7653450256 + 204360051844 = 87484^2 + 452062^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1060067411 + ... + 1060067610.

It is an arithmetic number, because the mean of its divisors is an integer number (25559405543).

Almost surely, 2212013502100 is an apocalyptic number.

212013502100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212013502100 is an abundant number, since it is smaller than the sum of its proper divisors (248055797674).

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

212013502100 is a wasteful number, since it uses less digits than its factorization.

212013502100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120135035 (or 2120135028 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 212013502100 its reverse (1205310212), we get a palindrome (213218812312).

The spelling of 212013502100 in words is "two hundred twelve billion, thirteen million, five hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2120135021 4240270042 8480540084 10600675105 21201350210 42402700420 53003375525 106006751050 212013502100