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21223122100031 = 411656731245073
BaseRepresentation
bin1001101001101011001001…
…01001110101111100111111
32210010220120212110222222102
410310311210221311330333
510240204423224200111
6113045433453335315
74320214515233165
oct464654451657477
983126525428872
1021223122100031
11684274815a105
12246922479753b
13bac44103b627
145352c1579235
1526c0de94e13b
hex134d64a75f3f

21223122100031 has 8 divisors (see below), whose sum is σ = 21742072213344. Its totient is φ = 20704234510080.

The previous prime is 21223122100001. The next prime is 21223122100079. The reversal of 21223122100031 is 13000122132212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21223122100031 - 242 = 16825075588927 is a prime.

It is a super-2 number, since 2×212231221000312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21223122099976 and 21223122100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21223122100001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14943290 + ... + 16301783.

It is an arithmetic number, because the mean of its divisors is an integer number (2717759026668).

Almost surely, 221223122100031 is an apocalyptic number.

21223122100031 is a deficient number, since it is larger than the sum of its proper divisors (518950113313).

21223122100031 is a wasteful number, since it uses less digits than its factorization.

21223122100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31261681.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21223122100031 its reverse (13000122132212), we get a palindrome (34223244232243).

The spelling of 21223122100031 in words is "twenty-one trillion, two hundred twenty-three billion, one hundred twenty-two million, one hundred thousand, thirty-one".

Divisors: 1 41 16567 679247 31245073 1281047993 517637124391 21223122100031