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2105405251342 = 2172231632234357
BaseRepresentation
bin11110101000110011111…
…011101001111100001110
321110021102022102102002221
4132220303323221330032
5233443332221020332
64251113153205554
7305052622233601
oct36506373517416
97407368372087
102105405251342
11741996416258
122a005bb608ba
13123700b62293
1473c8b742338
1539b76a1d297
hex1ea33ee9f0e

2105405251342 has 96 divisors (see below), whose sum is σ = 3538750666752. Its totient is φ = 937448557056.

The previous prime is 2105405251333. The next prime is 2105405251351. The reversal of 2105405251342 is 2431525045012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2105405251333) and next prime (2105405251351).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 2105405251298 and 2105405251307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483221428 + ... + 483225784.

It is an arithmetic number, because the mean of its divisors is an integer number (36861986112).

Almost surely, 22105405251342 is an apocalyptic number.

2105405251342 is a deficient number, since it is larger than the sum of its proper divisors (1433345415410).

2105405251342 is a wasteful number, since it uses less digits than its factorization.

2105405251342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4802 (or 4785 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 2105405251342 in words is "two trillion, one hundred five billion, four hundred five million, two hundred fifty-one thousand, three hundred forty-two".

Divisors: 1 2 17 23 34 46 163 223 289 326 391 446 578 782 2771 3749 3791 4357 5129 5542 6647 7498 7582 8714 10258 13294 36349 47107 63733 64447 72698 74069 87193 94214 100211 127466 128894 148138 174386 200422 617933 710191 836027 971611 1083461 1235866 1259173 1420382 1482281 1672054 1703587 1943222 2166922 2518346 2964562 3407174 10504861 12073247 14212459 16334393 16517387 21009722 22347053 24146494 28424918 28960979 32668786 33034774 44694106 57921958 158372593 205245199 241611803 277684681 280795579 316745186 379899901 410490398 483223606 555369362 561591158 759799802 2692334081 3642569639 4720639577 5384668162 6458298317 7285139278 9441279154 12916596634 45769679377 61923683863 91539358754 123847367726 1052702625671 2105405251342