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22105015031 = 113143235059
BaseRepresentation
bin10100100101100011…
…111100001011110111
32010001112111010000102
4110211203330023313
5330232340440111
614053243104315
71411532345651
oct244543741367
963045433012
1022105015031
119413782a70
12434ab1209b
132113830368
1410d9ab96d1
1589597413b
hex5258fc2f7

22105015031 has 24 divisors (see below), whose sum is σ = 25485534720. Its totient is φ = 18994424400.

The previous prime is 22105014977. The next prime is 22105015057. The reversal of 22105015031 is 13051050122.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-22105015031 is a prime.

It is a super-2 number, since 2×221050150312 (a number of 21 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 = 22105014994 and 22105015012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22105015061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612980 + ... + 648038.

It is an arithmetic number, because the mean of its divisors is an integer number (1061897280).

Almost surely, 222105015031 is an apocalyptic number.

22105015031 is a deficient number, since it is larger than the sum of its proper divisors (3380519689).

22105015031 is a wasteful number, since it uses less digits than its factorization.

22105015031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35187 (or 35144 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 22105015031 its reverse (13051050122), we get a palindrome (35156065153).

The spelling of 22105015031 in words is "twenty-two billion, one hundred five million, fifteen thousand, thirty-one".

Divisors: 1 11 31 43 341 473 1333 1849 14663 20339 35059 57319 385649 630509 1086829 1507537 11955119 16582907 46733647 64824091 514070117 713065001 2009546821 22105015031