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22130232301122 = 23114142431927459
BaseRepresentation
bin1010000100000100110001…
…01000101001011001000010
32220100121222221100201110220
411002002120220221121002
510400040203432113442
6115022253253203510
74442566533563031
oct502023050513102
986317887321426
1022130232301122
117062419222250
122594ba2030596
13c46b448a63ca
14567174da6718
152859d12b1eec
hex142098a29642

22130232301122 has 64 divisors (see below), whose sum is σ = 49473488171520. Its totient is φ = 6541021468800.

The previous prime is 22130232301117. The next prime is 22130232301123. The reversal of 22130232301122 is 22110323203122.

It is a junction number, because it is equal to n+sod(n) for n = 22130232301092 and 22130232301101.

It is not an unprimeable number, because it can be changed into a prime (22130232301123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10517829 + ... + 12445287.

It is an arithmetic number, because the mean of its divisors is an integer number (773023252680).

Almost surely, 222130232301122 is an apocalyptic number.

22130232301122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22130232301122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24736744085760).

22130232301122 is an abundant number, since it is smaller than the sum of its proper divisors (27343255870398).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22130232301122 is a wasteful number, since it uses less digits than its factorization.

22130232301122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931759.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 22130232301122 its reverse (22110323203122), we get a palindrome (44240555504244).

The spelling of 22130232301122 in words is "twenty-two trillion, one hundred thirty billion, two hundred thirty-two million, three hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 2706 4243 8486 12729 25458 46673 93346 140019 173963 280038 347926 521889 1043778 1913593 1927459 3827186 3854918 5740779 5782377 11481558 11564754 21202049 42404098 63606147 79025819 127212294 158051638 237077457 474154914 869284009 1738568018 2607852027 5215704054 8178208537 16356417074 24534625611 49069251222 89960293907 179920587814 269880881721 335306550017 539761763442 670613100034 1005919650051 2011839300102 3688372050187 7376744100374 11065116150561 22130232301122