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22313111224120 = 23517149143220013
BaseRepresentation
bin1010001001011001011010…
…00100010111111100111000
32221000010001002022120122021
411010230231010113330320
510411034222433132440
6115242300215204224
74462032461020453
oct504545504277470
987003032276567
1022313111224120
117122a34647932
12260451b976674
13c5b16aabbc92
14571d6328c49a
1528a6365e484a
hex144b2d117f38

22313111224120 has 64 divisors (see below), whose sum is σ = 53158304185920. Its totient is φ = 8400135604224.

The previous prime is 22313111224049. The next prime is 22313111224153. The reversal of 22313111224120 is 2142211131322.

It is a super-3 number, since 3×223131112241203 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101307234 + ... + 101527246.

It is an arithmetic number, because the mean of its divisors is an integer number (830598502905).

Almost surely, 222313111224120 is an apocalyptic number.

22313111224120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22313111224120 is an abundant number, since it is smaller than the sum of its proper divisors (30845192961800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22313111224120 is a wasteful number, since it uses less digits than its factorization.

22313111224120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369184 (or 369180 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 22313111224120 its reverse (2142211131322), we get a palindrome (24455322355442).

The spelling of 22313111224120 in words is "twenty-two trillion, three hundred thirteen billion, one hundred eleven million, two hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 149143 220013 298286 440026 596572 745715 880052 1100065 1193144 1491430 1760104 2200130 2535431 2982860 3740221 4400260 5070862 5965720 7480442 8800520 10141724 12677155 14960884 18701105 20283448 25354310 29921768 37402210 50708620 74804420 101417240 149608840 32813398859 65626797718 131253595436 164066994295 262507190872 328133988590 557827780603 656267977180 1115655561206 1312535954360 2231311122412 2789138903015 4462622244824 5578277806030 11156555612060 22313111224120