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2138131313362 = 211329191145009
BaseRepresentation
bin11111000111010010100…
…011101011001011010010
321120101220001021121120001
4133013102203223023102
5240012343104011422
64314124410240214
7310321613203252
oct37072243531322
97511801247501
102138131313362
1175485a427000
122a6473a2606a
13126817c37515
14756b3c45962
153a93eb29227
hex1f1d28eb2d2

2138131313362 has 64 divisors (see below), whose sum is σ = 3668451379200. Its totient is φ = 933445497600.

The previous prime is 2138131313359. The next prime is 2138131313363. The reversal of 2138131313362 is 2633131318312.

It is a super-2 number, since 2×21381313133622 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2138131313363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14672314 + ... + 14817322.

It is an arithmetic number, because the mean of its divisors is an integer number (57319552800).

Almost surely, 22138131313362 is an apocalyptic number.

2138131313362 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2138131313362 is a deficient number, since it is larger than the sum of its proper divisors (1530320065838).

2138131313362 is a wasteful number, since it uses less digits than its factorization.

2138131313362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145264 (or 145242 counting only the distinct ones).

The product of its digits is 46656, while the sum is 37.

The spelling of 2138131313362 in words is "two trillion, one hundred thirty-eight billion, one hundred thirty-one million, three hundred thirteen thousand, three hundred sixty-two".

Divisors: 1 2 11 22 29 58 121 191 242 319 382 638 1331 2101 2662 3509 4202 5539 7018 11078 23111 38599 46222 60929 77198 121858 145009 254221 290018 508442 670219 1340438 1595099 3190198 4205261 7372409 8410522 14744818 17546089 27696719 35092178 46257871 55393438 92515742 193006979 304663909 386013958 508836581 609327818 803204851 1017673162 1606409702 3351302999 5597202391 6702605998 8835253361 11194404782 17670506722 36864332989 73728665978 97187786971 194375573942 1069065656681 2138131313362