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22145311029 = 3100915494723
BaseRepresentation
bin10100100111111101…
…101010000100110101
32010011100022100201210
4110213331222010311
5330323144423104
614101242512033
71412532016002
oct244775520465
963140270653
1022145311029
1194344a5a46
124360505619
13211bc9b84a
1411011a88a9
15899283989
hex527f6a135

22145311029 has 16 divisors (see below), whose sum is σ = 29581688000. Its totient is φ = 14736266496.

The previous prime is 22145311009. The next prime is 22145311033. The reversal of 22145311029 is 92011354122.

It is not a de Polignac number, because 22145311029 - 215 = 22145278261 is a prime.

It is a super-2 number, since 2×221453110292 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22145310987 and 22145311005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22145311009) 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 15 ways as a sum of consecutive naturals, for example, 4686462 + ... + 4691184.

It is an arithmetic number, because the mean of its divisors is an integer number (1848855500).

Almost surely, 222145311029 is an apocalyptic number.

It is an amenable number.

22145311029 is a deficient number, since it is larger than the sum of its proper divisors (7436376971).

22145311029 is a wasteful number, since it uses less digits than its factorization.

22145311029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7284.

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 22145311029 in words is "twenty-two billion, one hundred forty-five million, three hundred eleven thousand, twenty-nine".

Divisors: 1 3 1009 1549 3027 4647 4723 14169 1562941 4688823 4765507 7315927 14296521 21947781 7381770343 22145311029