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22021630424261 = 132267294875061
BaseRepresentation
bin1010000000111010011110…
…11101010111010011000101
32212222020200021202202111022
411000131033131113103011
510341300244342034021
6114500333010120525
74432003350060236
oct500351735272305
985866607682438
1022021630424261
1170203592a9806
122577b33580145
13c39827c4b900
14561bd176708d
15282c76cdd1ab
hex14074f7574c5

22021630424261 has 12 divisors (see below), whose sum is σ = 23846804528580. Its totient is φ = 20326894174080.

The previous prime is 22021630424249. The next prime is 22021630424273. The reversal of 22021630424261 is 16242403612022.

It is an interprime number because it is at equal distance from previous prime (22021630424249) and next prime (22021630424273).

It can be written as a sum of positive squares in 6 ways, for example, as 70240900900 + 21951389523361 = 265030^2 + 4685231^2 .

It is not a de Polignac number, because 22021630424261 - 210 = 22021630423237 is a prime.

It is a super-2 number, since 2×220216304242612 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22021630424221) 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 11 ways as a sum of consecutive naturals, for example, 2079671 + ... + 6954731.

It is an arithmetic number, because the mean of its divisors is an integer number (1987233710715).

Almost surely, 222021630424261 is an apocalyptic number.

It is an amenable number.

22021630424261 is a deficient number, since it is larger than the sum of its proper divisors (1825174104319).

22021630424261 is a wasteful number, since it uses less digits than its factorization.

22021630424261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4901816 (or 4901803 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 22021630424261 in words is "twenty-two trillion, twenty-one billion, six hundred thirty million, four hundred twenty-four thousand, two hundred sixty-one".

Divisors: 1 13 169 26729 347477 4517201 4875061 63375793 823885309 130305505469 1693971571097 22021630424261