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221000222210121 = 326115719136373691
BaseRepresentation
bin110010001111111110011111…
…101111010111100001001001
31001222111102012110122102200200
4302033332133233113201021
5212431331423341210441
62102010033412522413
764356511346005404
oct6217763757274111
91058442173572620
10221000222210121
1164465738a79002
12209533a7320409
1396413018a0b13
143c80679a0cd3b
151a83ac9e317b6
hexc8ff9fbd7849

221000222210121 has 96 divisors (see below), whose sum is σ = 328411037300736. Its totient is φ = 143163049536000.

The previous prime is 221000222210113. The next prime is 221000222210231. The reversal of 221000222210121 is 121012222000122.

It is a happy number.

221000222210121 is a `hidden beast` number, since 2 + 210 + 0 + 0 + 222 + 210 + 1 + 21 = 666.

It is not a de Polignac number, because 221000222210121 - 23 = 221000222210113 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221000222210094 and 221000222210103.

It is not an unprimeable number, because it can be changed into a prime (221000222210321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59875430886 + ... + 59875434576.

It is an arithmetic number, because the mean of its divisors is an integer number (3420948305216).

Almost surely, 2221000222210121 is an apocalyptic number.

It is an amenable number.

221000222210121 is a deficient number, since it is larger than the sum of its proper divisors (107410815090615).

221000222210121 is a wasteful number, since it uses less digits than its factorization.

221000222210121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7743 (or 7740 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221000222210121 its reverse (121012222000122), we get a palindrome (342012444210243).

The spelling of 221000222210121 in words is "two hundred twenty-one trillion, two hundred twenty-two million, two hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 9 61 157 183 191 471 549 573 1413 1719 3637 3691 9577 10911 11073 11651 28731 29987 32733 33219 34953 86193 89961 104859 221857 225151 269883 571009 579487 665571 675453 694667 704981 1713027 1738461 1829207 1996713 2026359 2084001 2114943 5139081 5215383 5487621 6252003 6344829 13424167 16462863 34831549 35348707 40272501 42374687 43003841 104494647 106046121 109062719 110682017 120817503 127124061 129011523 313483941 318138363 327188157 332046051 381372183 387034569 818874187 981564471 996138153 2107594219 2456622561 2564015897 6322782657 6652825859 6751603037 7369867683 7692047691 18968347971 19958477577 20254809111 23076143073 59875432731 60764427333 128563247359 156404969717 385689742077 402550495829 469214909151 1157069226231 1207651487487 1407644727453 3622954462461 24555580245569 73666740736707 221000222210121