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212113310020100 = 22526013529339601
BaseRepresentation
bin110000001110101001111010…
…011111101111001000000100
31000211000211112021111120200222
4300032221322133233020010
5210300231024331120400
62031043302010323512
762451452362525046
oct6016517237571004
91024024467446628
10212113310020100
11616498277a6365
121b958b92429598
139148278b58728
143a544a624da96
15197c849989185
hexc0ea7a7ef204

212113310020100 has 36 divisors (see below), whose sum is σ = 461051749567668. Its totient is φ = 84704150400000.

The previous prime is 212113310020049. The next prime is 212113310020121. The reversal of 212113310020100 is 1020013311212.

212113310020100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 676525990144 + 211436784029956 = 822512^2 + 14540866^2 .

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, 1764609701 + ... + 1764729900.

Almost surely, 2212113310020100 is an apocalyptic number.

212113310020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212113310020100 is an abundant number, since it is smaller than the sum of its proper divisors (248938439547568).

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

212113310020100 is a wasteful number, since it uses less digits than its factorization.

212113310020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3529340216 (or 3529340209 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 212113310020100 its reverse (1020013311212), we get a palindrome (213133323331312).

The spelling of 212113310020100 in words is "two hundred twelve trillion, one hundred thirteen billion, three hundred ten million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 601 1202 2404 3005 6010 12020 15025 30050 60100 3529339601 7058679202 14117358404 17646698005 35293396010 70586792020 88233490025 176466980050 352933960100 2121133100201 4242266200402 8484532400804 10605665501005 21211331002010 42422662004020 53028327505025 106056655010050 212113310020100