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221200121212209 = 32313796427325487
BaseRepresentation
bin110010010010111000101010…
…101001100010110100110001
31002000012112011202212220002200
4302102320222221202310301
5212443120322012242314
62102241533254133413
764410116132333016
oct6222705251426461
91060175152786080
10221200121212209
1164532498826a57
1220986095051269
13965710acba1c9
143c8a20051d70d
151a88dc95a5709
hexc92e2aa62d31

221200121212209 has 48 divisors (see below), whose sum is σ = 330740803461120. Its totient is φ = 142310629369440.

The previous prime is 221200121212163. The next prime is 221200121212211. The reversal of 221200121212209 is 902212121002122.

221200121212209 is a `hidden beast` number, since 2 + 2 + 120 + 0 + 121 + 212 + 209 = 666.

It is not a de Polignac number, because 221200121212209 - 215 = 221200121179441 is a prime.

It is a super-2 number, since 2×2212001212122092 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221200121212909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 679434664 + ... + 679760150.

It is an arithmetic number, because the mean of its divisors is an integer number (6890433405440).

Almost surely, 2221200121212209 is an apocalyptic number.

It is an amenable number.

221200121212209 is a deficient number, since it is larger than the sum of its proper divisors (109540682248911).

221200121212209 is a wasteful number, since it uses less digits than its factorization.

221200121212209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332330 (or 332327 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 221200121212209 in words is "two hundred twenty-one trillion, two hundred billion, one hundred twenty-one million, two hundred twelve thousand, two hundred nine".

Divisors: 1 3 9 31 93 279 379 1137 3411 6427 11749 19281 35247 57843 105741 199237 325487 597711 976461 1793133 2435833 2929383 7307499 10090097 21922497 30270291 75510823 90810873 123359573 226532469 370078719 679597407 1110236157 2091904949 3824146763 6275714847 11472440289 18827144541 34417320867 64849053419 194547160257 583641480771 792831975671 2378495927013 7135487781039 24577791245801 73733373737403 221200121212209