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22033012010331 = 3729193128016689
BaseRepresentation
bin1010000001001111101011…
…10110101010110101011011
32220000100001111020020102010
411000213311312222311123
510341442102033312311
6114505454225041003
74432555402003020
oct500476566526533
986010044206363
1022033012010331
117025169975893
12257a18b186163
13c3a91cc3b31a
145625911a7547
152831e1104da6
hex1409f5daad5b

22033012010331 has 64 divisors (see below), whose sum is σ = 34767431193600. Its totient is φ = 12143695872000.

The previous prime is 22033012010281. The next prime is 22033012010351. The reversal of 22033012010331 is 13301021033022.

It is not a de Polignac number, because 22033012010331 - 29 = 22033012009819 is a prime.

It is a super-2 number, since 2×220330120103312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 22033012010298 and 22033012010307.

It is not an unprimeable number, because it can be changed into a prime (22033012010351) 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, 3293913835 + ... + 3293920523.

It is an arithmetic number, because the mean of its divisors is an integer number (543241112400).

Almost surely, 222033012010331 is an apocalyptic number.

22033012010331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22033012010331 is a deficient number, since it is larger than the sum of its proper divisors (12734419183269).

22033012010331 is a wasteful number, since it uses less digits than its factorization.

22033012010331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11460.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 22033012010331 its reverse (13301021033022), we get a palindrome (35334033043353).

The spelling of 22033012010331 in words is "twenty-two trillion, thirty-three billion, twelve million, ten thousand, three hundred thirty-one".

Divisors: 1 3 7 21 29 87 203 609 1931 2801 5793 6689 8403 13517 19607 20067 40551 46823 55999 58821 81229 140469 167997 193981 243687 391993 568603 581943 1175979 1357867 1705809 4073601 5408731 12916459 16226193 18735889 37861117 38749377 56207667 90415213 113583351 131151223 156853199 271245639 374577311 393453669 470559597 543340781 1097972393 1123731933 1630022343 2622041177 3293917179 3803385467 7866123531 11410156401 36179001659 108537004977 253253011613 759759034839 1049191048111 3147573144333 7344337336777 22033012010331