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22100122201221 = 3237893203232811
BaseRepresentation
bin1010000011001100101011…
…11011101110110010000101
32220020202021111220011102200
411001212111323232302011
510344042022240414341
6115000353405225113
74440452426135151
oct501462573566205
986222244804380
1022100122201221
117050677919569
12258b19a262199
13c4405677264c
1456591a09c061
15284d1cb8adb6
hex141995eeec85

22100122201221 has 48 divisors (see below), whose sum is σ = 33164032150080. Its totient is φ = 14169658440960.

The previous prime is 22100122201207. The next prime is 22100122201231. The reversal of 22100122201221 is 12210222100122.

It is a happy number.

22100122201221 is a `hidden beast` number, since 2 + 210 + 0 + 12 + 220 + 1 + 221 = 666.

It is not a de Polignac number, because 22100122201221 - 210 = 22100122200197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22100122201194 and 22100122201203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100122201231) 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 47 ways as a sum of consecutive naturals, for example, 94810906 + ... + 95043716.

It is an arithmetic number, because the mean of its divisors is an integer number (690917336460).

Almost surely, 222100122201221 is an apocalyptic number.

It is an amenable number.

22100122201221 is a deficient number, since it is larger than the sum of its proper divisors (11063909948859).

22100122201221 is a wasteful number, since it uses less digits than its factorization.

22100122201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236146 (or 236143 counting only the distinct ones).

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

Adding to 22100122201221 its reverse (12210222100122), we get a palindrome (34310344301343).

The spelling of 22100122201221 in words is "twenty-two trillion, one hundred billion, one hundred twenty-two million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 37 89 111 267 333 801 3203 3293 9609 9879 28827 29637 118511 232811 285067 355533 698433 855201 1066599 2095299 2565603 8614007 10547479 20720179 25842021 31642437 62160537 77526063 94927311 186481611 745693633 766646623 2237080899 2299939869 6711242697 6899819607 27590664421 66366733337 82771993263 199100200011 248315979789 597300600033 2455569133469 7366707400407 22100122201221