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2105537361431 = 74153138422021
BaseRepresentation
bin11110101000111011110…
…011100111011000010111
321110021202112000022002012
4132220323303213120113
5233444120031031211
64251134232534435
7305056115163320
oct36507363473027
97407675008065
102105537361431
11741a53a49549
122a009825141b
1312372233932a
1473ca10d1447
1539b83416d8b
hex1ea3bce7617

2105537361431 has 16 divisors (see below), whose sum is σ = 2511529167168. Its totient is φ = 1727506809600.

The previous prime is 2105537361427. The next prime is 2105537361451. The reversal of 2105537361431 is 1341637355012.

It is a cyclic number.

It is not a de Polignac number, because 2105537361431 - 22 = 2105537361427 is a prime.

It is a super-2 number, since 2×21055373614312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105537361451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69195800 + ... + 69226221.

It is an arithmetic number, because the mean of its divisors is an integer number (156970572948).

Almost surely, 22105537361431 is an apocalyptic number.

2105537361431 is a deficient number, since it is larger than the sum of its proper divisors (405991805737).

2105537361431 is a wasteful number, since it uses less digits than its factorization.

2105537361431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138422122.

The product of its (nonzero) digits is 226800, while the sum is 41.

The spelling of 2105537361431 in words is "two trillion, one hundred five billion, five hundred thirty-seven million, three hundred sixty-one thousand, four hundred thirty-one".

Divisors: 1 7 41 53 287 371 2173 15211 138422021 968954147 5675302861 7336367113 39727120027 51354569791 300791051633 2105537361431