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2100555055512 = 2332714001102701
BaseRepresentation
bin11110100100010010110…
…101101000000110011000
321102210220021220221020100
4132210102311220012120
5233403414043234022
64244552012455400
7304521466242144
oct36442265500630
97383807827210
102100555055512
1173a927627351
1229b12777a560
1312310a064414
147394b518224
1539990d081ac
hex1e912d68198

2100555055512 has 96 divisors (see below), whose sum is σ = 5770628192160. Its totient is φ = 690144000000.

The previous prime is 2100555055493. The next prime is 2100555055523. The reversal of 2100555055512 is 2155505550012.

2100555055512 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 5 + 550 + 55 + 51 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 20401762 + ... + 20504462.

It is an arithmetic number, because the mean of its divisors is an integer number (60110710335).

Almost surely, 22100555055512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100555055512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885314096080).

2100555055512 is an abundant number, since it is smaller than the sum of its proper divisors (3670073136648).

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

2100555055512 is a wasteful number, since it uses less digits than its factorization.

2100555055512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106785 (or 106778 counting only the distinct ones).

The product of its (nonzero) digits is 62500, while the sum is 36.

The spelling of 2100555055512 in words is "two trillion, one hundred billion, five hundred fifty-five million, fifty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 4001 5112 8002 12003 16004 24006 32008 36009 48012 72018 96024 102701 144036 205402 284071 288072 308103 410804 568142 616206 821608 852213 924309 1136284 1232412 1704426 1848618 2272568 2464824 2556639 3408852 3697236 5113278 6817704 7291771 7394472 10226556 14583542 20453112 21875313 29167084 43750626 58334168 65625939 87501252 131251878 175002504 262503756 410906701 525007512 821813402 1232720103 1643626804 2465440206 3287253608 3698160309 4930880412 7396320618 9861760824 14792641236 29174375771 29585282472 58348751542 87523127313 116697503084 175046254626 233395006168 262569381939 350092509252 525138763878 700185018504 1050277527756 2100555055512