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2105410255400 = 235253853232853
BaseRepresentation
bin11110101000110100001…
…110101111101000101000
321110021102122211122101102
4132220310032233220220
5233443340011133100
64251113452340532
7305053012614644
oct36506416575050
97407378748342
102105410255400
11741999223941
122a0061774748
13123701bc4b6a
1473c8c285c24
1539b771aacd5
hex1ea343afa28

2105410255400 has 96 divisors (see below), whose sum is σ = 4993307204760. Its totient is φ = 825302000640.

The previous prime is 2105410255391. The next prime is 2105410255439. The reversal of 2105410255400 is 45520145012.

It can be written as a sum of positive squares in 12 ways, for example, as 380143767364 + 1725266488036 = 616558^2 + 1313494^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8925374 + ... + 9158226.

Almost surely, 22105410255400 is an apocalyptic number.

2105410255400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105410255400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496653602380).

2105410255400 is an abundant number, since it is smaller than the sum of its proper divisors (2887896949360).

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

2105410255400 is a wasteful number, since it uses less digits than its factorization.

2105410255400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233775 (or 233766 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The spelling of 2105410255400 in words is "two trillion, one hundred five billion, four hundred ten million, two hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 853 1060 1325 1706 2120 2650 3412 4265 5300 6824 8530 10600 17060 21325 34120 42650 45209 85300 90418 170600 180836 226045 232853 361672 452090 465706 904180 931412 1130225 1164265 1808360 1862824 2260450 2328530 4520900 4657060 5821325 9041800 9314120 11642650 12341209 23285300 24682418 46570600 49364836 61706045 98729672 123412090 198623609 246824180 308530225 397247218 493648360 617060450 794494436 993118045 1234120900 1588988872 1986236090 2468241800 3972472180 4965590225 7944944360 9931180450 10527051277 19862360900 21054102554 39724721800 42108205108 52635256385 84216410216 105270512770 210541025540 263176281925 421082051080 526352563850 1052705127700 2105410255400