Search a number
-
+
110621613201120 = 253257319313743239
BaseRepresentation
bin11001001001110000011001…
…111101011001011011100000
3112111200022201102110012202200
4121021300121331121123200
5103444411030434413440
61031134511220013200
732205101461533000
oct3111603175313340
9474608642405680
10110621613201120
113227a3a983067a
12104a7262531200
13499575b8b1c68
141d4618683a000
15cbc7c6c56c30
hex649c19f596e0

110621613201120 has 4608 divisors, whose sum is σ = 504803819520000. Its totient is φ = 21938203607040.

The previous prime is 110621613201103. The next prime is 110621613201247. The reversal of 110621613201120 is 21102316126011.

110621613201120 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 2 + 1 + 613 + 20 + 1 + 1 + 20 = 666.

110621613201120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 462851937961 + ... + 462851938199.

It is an arithmetic number, because the mean of its divisors is an integer number (109549440000).

Almost surely, 2110621613201120 is an apocalyptic number.

110621613201120 is a gapful number since it is divisible by the number (10) 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 110621613201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252401909760000).

110621613201120 is an abundant number, since it is smaller than the sum of its proper divisors (394182206318880).

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

110621613201120 is a wasteful number, since it uses less digits than its factorization.

110621613201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 110621613201120 its reverse (21102316126011), we get a palindrome (131723929327131).

The spelling of 110621613201120 in words is "one hundred ten trillion, six hundred twenty-one billion, six hundred thirteen million, two hundred one thousand, one hundred twenty".