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212201102120200 = 23522024095241889
BaseRepresentation
bin110000001111111011101011…
…010100000001010100001000
31000211100020010122211100112221
4300033323223110001110020
5210303200324120321300
62031151501315543424
762461011062210464
oct6017735324012410
91024306118740487
10212201102120200
1161682a89091596
121b971bb38bab74
13915362a41165b
143a58833c154a4
15197ec8708831a
hexc0feeb501508

212201102120200 has 48 divisors (see below), whose sum is σ = 493370094028500. Its totient is φ = 84880005304320.

The previous prime is 212201102120177. The next prime is 212201102120207. The reversal of 212201102120200 is 2021201102212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 18105995152996 + 194095106967204 = 4255114^2 + 13931802^2 .

It is not an unprimeable number, because it can be changed into a prime (212201102120207) 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, 37860856 + ... + 43102744.

Almost surely, 2212201102120200 is an apocalyptic number.

212201102120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201102120200 is an abundant number, since it is smaller than the sum of its proper divisors (281168991908300).

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

212201102120200 is a wasteful number, since it uses less digits than its factorization.

212201102120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5444314 (or 5444305 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212201102120200 its reverse (2021201102212), we get a palindrome (214222303222412).

The spelling of 212201102120200 in words is "two hundred twelve trillion, two hundred one billion, one hundred two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 202409 404818 809636 1012045 1619272 2024090 4048180 5060225 5241889 8096360 10120450 10483778 20240900 20967556 26209445 40481800 41935112 52418890 104837780 131047225 209675560 262094450 524188900 1048377800 1061005510601 2122011021202 4244022042404 5305027553005 8488044084808 10610055106010 21220110212020 26525137765025 42440220424040 53050275530050 106100551060100 212201102120200