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212010010100200 = 23521381542311577
BaseRepresentation
bin110000001101001001101101…
…010101110100000111101000
31000210122221220010110221100201
4300031021231111310013220
5210242033000041201300
62030524015402441544
762441134455636604
oct6015115525640750
91023587803427321
10212010010100200
1161609a38680634
121b940b635032b4
13913b5c5794280
143a4d4a6c34504
151979d00bb566a
hexc0d26d5741e8

212010010100200 has 48 divisors (see below), whose sum is σ = 530840448372780. Its totient is φ = 78280619112960.

The previous prime is 212010010100191. The next prime is 212010010100201. The reversal of 212010010100200 is 2001010010212.

It can be written as a sum of positive squares in 6 ways, for example, as 84936830989924 + 127073179110276 = 9216118^2 + 11272674^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (212010010100201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40771153189 + ... + 40771158388.

Almost surely, 2212010010100200 is an apocalyptic number.

212010010100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212010010100200 is an abundant number, since it is smaller than the sum of its proper divisors (318830438272580).

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

212010010100200 is a wasteful number, since it uses less digits than its factorization.

212010010100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81542311606 (or 81542311597 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212010010100200 its reverse (2001010010212), we get a palindrome (214011020110412).

The spelling of 212010010100200 in words is "two hundred twelve trillion, ten billion, ten million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 81542311577 163084623154 326169246308 407711557885 652338492616 815423115770 1060050050501 1630846231540 2038557789425 2120100101002 3261692463080 4077115578850 4240200202004 5300250252505 8154231157700 8480400404008 10600500505010 16308462315400 21201001010020 26501251262525 42402002020040 53002502525050 106005005050100 212010010100200