Search a number
-
+
222002122100121 = 33114155013314173
BaseRepresentation
bin110010011110100011100101…
…101000001000110110011001
31002010001012021121001021022000
4302132203211220020312121
5213044240321224200441
62104054211132351213
764522060353365346
oct6236434550106631
91063035247037260
10222002122100121
1164811631384420
1220a955b9615509
1396b493066210c
143cb6d624d17cd
151a9ebb83832b6
hexc9e8e5a08d99

222002122100121 has 64 divisors (see below), whose sum is σ = 367609240615680. Its totient is φ = 131241211200000.

The previous prime is 222002122100027. The next prime is 222002122100123. The reversal of 222002122100121 is 121001221200222.

It is a happy number.

222002122100121 is a `hidden beast` number, since 2 + 220 + 0 + 212 + 210 + 0 + 1 + 21 = 666.

It is not a de Polignac number, because 222002122100121 - 211 = 222002122098073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222002122100094 and 222002122100103.

It is not an unprimeable number, because it can be changed into a prime (222002122100123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65328591 + ... + 68642763.

It is an arithmetic number, because the mean of its divisors is an integer number (5743894384620).

Almost surely, 2222002122100121 is an apocalyptic number.

It is an amenable number.

222002122100121 is a deficient number, since it is larger than the sum of its proper divisors (145607118515559).

222002122100121 is a wasteful number, since it uses less digits than its factorization.

222002122100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319735 (or 3319729 counting only the distinct ones).

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

Adding to 222002122100121 its reverse (121001221200222), we get a palindrome (343003343300343).

The spelling of 222002122100121 in words is "two hundred twenty-two trillion, two billion, one hundred twenty-two million, one hundred thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 41 99 123 297 369 451 1107 1353 4059 5501 12177 16503 49509 60511 148527 181533 225541 544599 676623 1633797 2029869 2480951 3314173 6089607 7442853 9942519 22328559 29827557 36455903 66985677 89482671 109367709 135881093 328103127 407643279 984309381 1222929837 1494692023 3668789511 4484076069 13452228207 18231265673 40356684621 54693797019 164081391057 200543922403 492244173171 601631767209 747481892593 1804895301627 2242445677779 5414685904881 6727337033337 8222300818523 20182011100011 24666902455569 74000707366707 222002122100121