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22300303200021 = 32711110472912951
BaseRepresentation
bin1010001001000001100011…
…01001101000111100010101
32220221212222110202112121100
411010200301221220330111
510410332010104400041
6115232341242540313
74461100205430360
oct504406151507425
986855873675540
1022300303200021
117118561874850
122601b46507699
13c59ba94251b2
145714aa2170d7
1528a136e646b6
hex144831a68f15

22300303200021 has 48 divisors (see below), whose sum is σ = 40163502532608. Its totient is φ = 11583520452000.

The previous prime is 22300303200013. The next prime is 22300303200083. The reversal of 22300303200021 is 12000230300322.

It is a happy number.

22300303200021 is a `hidden beast` number, since 22 + 300 + 3 + 0 + 320 + 0 + 0 + 21 = 666.

It is not a de Polignac number, because 22300303200021 - 23 = 22300303200013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22300303199967 and 22300303200003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22300303200011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6199096 + ... + 9112046.

It is an arithmetic number, because the mean of its divisors is an integer number (836739636096).

Almost surely, 222300303200021 is an apocalyptic number.

22300303200021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22300303200021 is a deficient number, since it is larger than the sum of its proper divisors (17863199332587).

22300303200021 is a wasteful number, since it uses less digits than its factorization.

22300303200021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924022 (or 2924019 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22300303200021 its reverse (12000230300322), we get a palindrome (34300533500343).

The spelling of 22300303200021 in words is "twenty-two trillion, three hundred billion, three hundred three million, two hundred thousand, twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 11047 33141 77329 99423 121517 231987 364551 695961 850619 1093653 2551857 2912951 7655571 8738853 20390657 26216559 32042461 61171971 96127383 183515913 224297227 288382149 672891681 2018675043 32179369697 96538109091 225255587879 289614327273 353973066667 675766763637 1061919200001 2027300290911 2477811466669 3185757600003 7433434400007 22300303200021