Search a number
-
+
2103598058112 = 273210511737431
BaseRepresentation
bin11110100111001000001…
…101110000101010000000
321110002202100212111001100
4132213020031300222000
5233431132100324422
64250213554534400
7304660056316635
oct36471015605200
97402670774040
102103598058112
11741149299231
1229b836897400
131234a3624085
1473b5971618c
1539abd0437ac
hex1e9c8370a80

2103598058112 has 96 divisors (see below), whose sum is σ = 6059085608160. Its totient is φ = 700531776000.

The previous prime is 2103598058039. The next prime is 2103598058113. The reversal of 2103598058112 is 2118508953012.

2103598058112 is a `hidden beast` number, since 2 + 1 + 0 + 3 + 59 + 8 + 0 + 581 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2103598058113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342037 + ... + 2079467.

It is an arithmetic number, because the mean of its divisors is an integer number (63115475085).

Almost surely, 22103598058112 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 2103598058112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029542804080).

2103598058112 is an abundant number, since it is smaller than the sum of its proper divisors (3955487550048).

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

2103598058112 is a wasteful number, since it uses less digits than its factorization.

2103598058112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738502 (or 1738487 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 2103598058112 in words is "two trillion, one hundred three billion, five hundred ninety-eight million, fifty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1051 1152 2102 3153 4204 6306 8408 9459 12612 16816 18918 25224 33632 37836 50448 67264 75672 100896 134528 151344 201792 302688 403584 605376 1210752 1737431 3474862 5212293 6949724 10424586 13899448 15636879 20849172 27798896 31273758 41698344 55597792 62547516 83396688 111195584 125095032 166793376 222391168 250190064 333586752 500380128 667173504 1000760256 1826039981 2001520512 3652079962 5478119943 7304159924 10956239886 14608319848 16434359829 21912479772 29216639696 32868719658 43824959544 58433279392 65737439316 87649919088 116866558784 131474878632 175299838176 233733117568 262949757264 350599676352 525899514528 701199352704 1051799029056 2103598058112