Search a number
-
+
1100642851000 = 2353721123471889
BaseRepresentation
bin10000000001000011011…
…011010001100010111000
310220012221200200222112001
4100001003123101202320
5121013104032213000
62201343420030344
7142342645604500
oct20010333214270
93805850628461
101100642851000
11394864217510
1215938b0923b4
137ca37028294
143b3b2a06a00
151d96c13546a
hex100436d18b8

1100642851000 has 768 divisors, whose sum is σ = 3484867276800. Its totient is φ = 320990208000.

The previous prime is 1100642850961. The next prime is 1100642851037. The reversal of 1100642851000 is 1582460011.

It is a super-2 number, since 2×11006428510002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1100642851000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 582658056 + ... + 582659944.

It is an arithmetic number, because the mean of its divisors is an integer number (4537587600).

Almost surely, 21100642851000 is an apocalyptic number.

1100642851000 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 1100642851000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742433638400).

1100642851000 is an abundant number, since it is smaller than the sum of its proper divisors (2384224425800).

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

1100642851000 is a wasteful number, since it uses less digits than its factorization.

1100642851000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 1100642851000 in words is "one trillion, one hundred billion, six hundred forty-two million, eight hundred fifty-one thousand".