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10223122442101 = 171789718746771
BaseRepresentation
bin1001010011000100000110…
…0101001110011101110101
31100012022122222110200220021
42110301001211032131311
52314443423321121401
633424234305205141
72103411334663042
oct224610145163565
940168588420807
1010223122442101
1132916691141a8
1211913870307b1
13592061a071aa
14274b320921c9
1512add83112a1
hex94c4194e775

10223122442101 has 16 divisors (see below), whose sum is σ = 10832271721920. Its totient is φ = 9614840405760.

The previous prime is 10223122442047. The next prime is 10223122442147. The reversal of 10223122442101 is 10124422132201.

It is a cyclic number.

It is not a de Polignac number, because 10223122442101 - 29 = 10223122441589 is a prime.

It is a super-2 number, since 2×102231224421012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223122442161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218554846 + ... + 218601616.

It is an arithmetic number, because the mean of its divisors is an integer number (677016982620).

Almost surely, 210223122442101 is an apocalyptic number.

It is an amenable number.

10223122442101 is a deficient number, since it is larger than the sum of its proper divisors (609149279819).

10223122442101 is a wasteful number, since it uses less digits than its factorization.

10223122442101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55764.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 10223122442101 its reverse (10124422132201), we get a palindrome (20347544574302).

The spelling of 10223122442101 in words is "ten trillion, two hundred twenty-three billion, one hundred twenty-two million, four hundred forty-two thousand, one hundred one".

Divisors: 1 17 1789 7187 30413 46771 122179 795107 12857543 83673319 218578231 336143177 1422446423 5714434009 601360143653 10223122442101