Search a number
-
+
2130605184000 = 21035323317761
BaseRepresentation
bin11111000000010001111…
…101110001010000000000
321112200110112112121222010
4133000101331301100000
5234401434411342000
64310441515212520
7306634245152166
oct37002175612000
97480415477863
102130605184000
11751648099687
122a4b13447140
13125bb892b237
147519c491236
153a64e034d50
hex1f011f71400

2130605184000 has 704 divisors, whose sum is σ = 7428408279552. Its totient is φ = 541032448000.

The previous prime is 2130605183899. The next prime is 2130605184013. The reversal of 2130605184000 is 4815060312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2799743620 + ... + 2799744380.

Almost surely, 22130605184000 is an apocalyptic number.

2130605184000 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 2130605184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714204139776).

2130605184000 is an abundant number, since it is smaller than the sum of its proper divisors (5297803095552).

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

2130605184000 is a wasteful number, since it uses less digits than its factorization.

2130605184000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 2130605184000 in words is "two trillion, one hundred thirty billion, six hundred five million, one hundred eighty-four thousand".