Search a number
-
+
22121000001221 = 1119733673950659
BaseRepresentation
bin1010000011110011100100…
…10110001101111011000101
32220022202011112011021220112
411001321302112031323011
510344412302000014341
6115014125213042405
74442122000406552
oct501716226157305
986282145137815
1022121000001221
117059510897730
122593246186405
13c46002c70064
1456693aba1a29
152856409eaaeb
hex141e7258dec5

22121000001221 has 32 divisors (see below), whose sum is σ = 25820249548800. Its totient is φ = 18739393130880.

The previous prime is 22121000001193. The next prime is 22121000001223. The reversal of 22121000001221 is 12210000012122.

It is a cyclic number.

It is not a de Polignac number, because 22121000001221 - 26 = 22121000001157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22121000001196 and 22121000001205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121000001223) 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 31 ways as a sum of consecutive naturals, for example, 3623990 + ... + 7574648.

It is an arithmetic number, because the mean of its divisors is an integer number (806882798400).

Almost surely, 222121000001221 is an apocalyptic number.

It is an amenable number.

22121000001221 is a deficient number, since it is larger than the sum of its proper divisors (3699249547579).

22121000001221 is a wasteful number, since it uses less digits than its factorization.

22121000001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951129.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22121000001221 its reverse (12210000012122), we get a palindrome (34331000013343).

The spelling of 22121000001221 in words is "twenty-two trillion, one hundred twenty-one billion, one thousand, two hundred twenty-one".

Divisors: 1 11 19 73 209 367 803 1387 4037 6973 15257 26791 76703 294701 509029 3950659 5599319 43457249 75062521 288398107 825687731 1449891853 3172379177 5479564033 15948810383 27547945207 60275204363 105842105269 303027397277 1164263157959 2011000000111 22121000001221