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223212120002001 = 32138849321558721
BaseRepresentation
bin110010110000001010011111…
…000111110100110111010001
31002021022212111102120102022200
4302300022133013310313101
5213224101410210031001
62110422122102553413
765005354263014364
oct6260123707646721
91067285442512280
10223212120002001
1165138801682139
1221050007438869
139771a743812a0
143d1974a7940db
151ac13d5b65086
hexcb029f1f4dd1

223212120002001 has 24 divisors (see below), whose sum is σ = 347222793129576. Its totient is φ = 137359746017280.

The previous prime is 223212120001963. The next prime is 223212120002029. The reversal of 223212120002001 is 100200021212322.

223212120002001 is a `hidden beast` number, since 22 + 321 + 2 + 120 + 0 + 0 + 200 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 169394803776 + 223042725198225 = 411576^2 + 14934615^2 .

It is not a de Polignac number, because 223212120002001 - 213 = 223212119993809 is a prime.

It is a super-3 number, since 3×2232121200020013 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223212120082001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425680 + ... + 21133041.

It is an arithmetic number, because the mean of its divisors is an integer number (14467616380399).

Almost surely, 2223212120002001 is an apocalyptic number.

It is an amenable number.

223212120002001 is a deficient number, since it is larger than the sum of its proper divisors (124010673127575).

223212120002001 is a wasteful number, since it uses less digits than its factorization.

223212120002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21647233 (or 21647230 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 223212120002001 its reverse (100200021212322), we get a palindrome (323412141214323).

The spelling of 223212120002001 in words is "two hundred twenty-three trillion, two hundred twelve billion, one hundred twenty million, two thousand, one".

Divisors: 1 3 9 13 39 117 88493 265479 796437 1150409 3451227 10353681 21558721 64676163 194028489 280263373 840790119 2522370357 1907795897453 5723387692359 17170163077077 24801346666889 74404040000667 223212120002001