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22013020121121 = 3329307229339937
BaseRepresentation
bin1010000000101010011100…
…01111101010100000100001
32212221102110012222001002000
411000111032033222200201
510341130131122333441
6114452350345314213
74431250105516521
oct500251617524041
985842405861060
1022013020121121
11701773aa865a7
12257632ba95969
13c38a85143393
14561615dd3681
15282920e3c2b6
hex14054e3ea821

22013020121121 has 64 divisors (see below), whose sum is σ = 33861928531200. Its totient is φ = 14116633509888.

The previous prime is 22013020121077. The next prime is 22013020121149. The reversal of 22013020121121 is 12112102031022.

22013020121121 is a `hidden beast` number, since 2 + 201 + 30 + 201 + 211 + 21 = 666.

It is not a de Polignac number, because 22013020121121 - 214 = 22013020104737 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22013020121094 and 22013020121103.

It is not an unprimeable number, because it can be changed into a prime (22013020121321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 551173665 + ... + 551213601.

It is an arithmetic number, because the mean of its divisors is an integer number (529092633300).

Almost surely, 222013020121121 is an apocalyptic number.

It is an amenable number.

22013020121121 is a deficient number, since it is larger than the sum of its proper divisors (11848908410079).

22013020121121 is a wasteful number, since it uses less digits than its factorization.

22013020121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42575 (or 42569 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 22013020121121 its reverse (12112102031022), we get a palindrome (34125122152143).

The spelling of 22013020121121 in words is "twenty-two trillion, thirteen billion, twenty million, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 27 29 87 261 307 783 921 2293 2763 6879 8289 8903 20637 26709 39937 61911 66497 80127 119811 199491 240381 359433 598473 703951 1078299 1158173 1795419 2111853 3474519 6335559 10423557 12260659 19006677 20414579 31270671 36781977 61243737 91575541 110345931 183731211 274726623 331037793 355559111 551193633 824179869 1066677333 2472539607 2655690689 3200031999 7967072067 9600095997 23901216201 28113691087 71703648603 84341073261 253023219783 759069659349 815297041523 2445891124569 7337673373707 22013020121121