Search a number
-
+
2100021120 = 27335532293
BaseRepresentation
bin111110100101011…
…1100011110000000
312102100120010102000
41331022330132000
513300101133440
6544214424000
7103016612361
oct17512743600
95370503360
102100021120
11988452a4a
124a7362000
132760c7662
1415cc93b68
15c456d730
hex7d2bc780

2100021120 has 256 divisors, whose sum is σ = 7581211200. Its totient is φ = 549199872.

The previous prime is 2100021103. The next prime is 2100021137. The reversal of 2100021120 is 211200012.

It is an interprime number because it is at equal distance from previous prime (2100021103) and next prime (2100021137).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 914694 + ... + 916986.

Almost surely, 22100021120 is an apocalyptic number.

2100021120 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 2100021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790605600).

2100021120 is an abundant number, since it is smaller than the sum of its proper divisors (5481190080).

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

2100021120 is a wasteful number, since it uses less digits than its factorization.

2100021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2100021120 is about 45825.9873870711. The cubic root of 2100021120 is about 1280.5834579623.

Adding to 2100021120 its reverse (211200012), we get a palindrome (2311221132).

The spelling of 2100021120 in words is "two billion, one hundred million, twenty-one thousand, one hundred twenty".