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22301331221133 = 3223532032752823
BaseRepresentation
bin1010001001000011011101…
…11011001110101010001101
32220221222122010011102110100
411010201232323032222031
510410341111243034013
6115233031245001313
74461134530445436
oct504415673165215
986858563142410
1022301331221133
117118a3a097278
122602192853239
13c5a0113c3703
1457156697a48d
1528a19732d473
hex14486eecea8d

22301331221133 has 24 divisors (see below), whose sum is σ = 34247819578752. Its totient is φ = 13952815370208.

The previous prime is 22301331221131. The next prime is 22301331221177. The reversal of 22301331221133 is 33112213310322.

22301331221133 is a `hidden beast` number, since 2 + 2 + 301 + 3 + 3 + 1 + 221 + 133 = 666.

It is not a de Polignac number, because 22301331221133 - 21 = 22301331221131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22301331221097 and 22301331221106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22301331221131) 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 23 ways as a sum of consecutive naturals, for example, 1016365441 + ... + 1016387382.

It is an arithmetic number, because the mean of its divisors is an integer number (1426992482448).

Almost surely, 222301331221133 is an apocalyptic number.

22301331221133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

22301331221133 is a deficient number, since it is larger than the sum of its proper divisors (11946488357619).

22301331221133 is a wasteful number, since it uses less digits than its factorization.

22301331221133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032752905 (or 2032752902 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 22301331221133 its reverse (33112213310322), we get a palindrome (55413544531455).

The spelling of 22301331221133 in words is "twenty-two trillion, three hundred one billion, three hundred thirty-one million, two hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 23 53 69 159 207 477 1219 3657 10971 2032752823 6098258469 18294775407 46753314929 107735899619 140259944787 323207698857 420779834361 969623096571 2477925691237 7433777073711 22301331221133