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21122321333031 = 322813398341981
BaseRepresentation
bin1001100110101111011000…
…11101011011101100100111
32202210021101220001110220200
410303113230131123230213
510232032003230124111
6112531243243201543
74310015545655052
oct463275435335447
982707356043820
1021122321333031
116803a208099a6
1224517928162b3
13ba2a9866ab79
1453047c02da99
1526969028a256
hex1335ec75bb27

21122321333031 has 12 divisors (see below), whose sum is σ = 30510131806440. Its totient is φ = 14081495815440.

The previous prime is 21122321332963. The next prime is 21122321333063. The reversal of 21122321333031 is 13033312322112.

21122321333031 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 2 + 321 + 3 + 330 + 3 + 1 = 666.

It is not a de Polignac number, because 21122321333031 - 214 = 21122321316647 is a prime.

It is a super-2 number, since 2×211223213330312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21122321332986 and 21122321333004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122321338031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1638940 + ... + 6703041.

It is an arithmetic number, because the mean of its divisors is an integer number (2542510983870).

Almost surely, 221122321333031 is an apocalyptic number.

21122321333031 is a deficient number, since it is larger than the sum of its proper divisors (9387810473409).

21122321333031 is a wasteful number, since it uses less digits than its factorization.

21122321333031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8623326 (or 8623323 counting only the distinct ones).

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

Adding to 21122321333031 its reverse (13033312322112), we get a palindrome (34155633655143).

The spelling of 21122321333031 in words is "twenty-one trillion, one hundred twenty-two billion, three hundred twenty-one million, three hundred thirty-three thousand, thirty-one".

Divisors: 1 3 9 281339 844017 2532051 8341981 25025943 75077829 2346924592559 7040773777677 21122321333031