Search a number
-
+
2125105400000 = 2655111756821
BaseRepresentation
bin11110111011001010001…
…001110000100011000000
321112011021020201122122102
4132323022021300203000
5234304203440300000
64304132051525532
7306351043600412
oct36731211604300
97464236648572
102125105400000
1174a285662550
122a3a395b98a8
1312552039198b
1474bd9c929b2
153a42b2a93d5
hex1eeca2708c0

2125105400000 has 336 divisors, whose sum is σ = 6088442752224. Its totient is φ = 727296000000.

The previous prime is 2125105399961. The next prime is 2125105400029. The reversal of 2125105400000 is 45015212.

It is a super-2 number, since 2×21251054000002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37371590 + ... + 37428410.

It is an arithmetic number, because the mean of its divisors is an integer number (18120365334).

Almost surely, 22125105400000 is an apocalyptic number.

2125105400000 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 2125105400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044221376112).

2125105400000 is an abundant number, since it is smaller than the sum of its proper divisors (3963337352224).

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

2125105400000 is an equidigital number, since it uses as much as digits as its factorization.

2125105400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56886 (or 56856 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 2125105400000 in words is "two trillion, one hundred twenty-five billion, one hundred five million, four hundred thousand".