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22231413311023 = 7251283260917137
BaseRepresentation
bin1010000111000001001110…
…11111100100011000101111
32220201022011102021120202001
411003200213133210120233
510403214413301423043
6115140545325313131
74453111101145060
oct503404737443057
986638142246661
1022231413311023
1170a1320273594
1225b071b4057a7
13c5354ac8b777
1456c012c12567
1528845403574d
hex1438277e462f

22231413311023 has 32 divisors (see below), whose sum is σ = 25609996177920. Its totient is φ = 18904161024000.

The previous prime is 22231413310963. The next prime is 22231413311117. The reversal of 22231413311023 is 32011331413222.

It is not a de Polignac number, because 22231413311023 - 237 = 22093974357551 is a prime.

It is a super-3 number, since 3×222314133110233 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22231413310982 and 22231413311000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22231413341023) 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 31 ways as a sum of consecutive naturals, for example, 1297267111 + ... + 1297284247.

It is an arithmetic number, because the mean of its divisors is an integer number (800312380560).

Almost surely, 222231413311023 is an apocalyptic number.

22231413311023 is a deficient number, since it is larger than the sum of its proper divisors (3378582866897).

22231413311023 is a wasteful number, since it uses less digits than its factorization.

22231413311023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20287.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 22231413311023 its reverse (32011331413222), we get a palindrome (54242744724245).

The spelling of 22231413311023 in words is "twenty-two trillion, two hundred thirty-one billion, four hundred thirteen million, three hundred eleven thousand, twenty-three".

Divisors: 1 7 251 283 1757 1981 2609 17137 18263 71033 119959 497231 654859 738347 4301387 4584013 4849771 5168429 30109709 33948397 44710433 185325097 312973031 1217292521 1297275679 8521047647 11222318683 12653052539 78556230781 88571367773 3175916187289 22231413311023