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2130213121200 = 2432523753301747
BaseRepresentation
bin11110111111111010100…
…110001010110010110000
321112122110012210202220200
4132333322212022302300
5234400134024334300
64310334552035200
7306621444526023
oct36777246126260
97478405722820
102130213121200
1175146685503a
122a4a24092b00
13125b55638608
14751623951ba
153a6298dd200
hex1effa98acb0

2130213121200 has 360 divisors, whose sum is σ = 7735501891728. Its totient is φ = 542273771520.

The previous prime is 2130213121151. The next prime is 2130213121271. The reversal of 2130213121200 is 21213120312.

2130213121200 is a `hidden beast` number, since 2 + 130 + 21 + 312 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6908727 + ... + 7210473.

Almost surely, 22130213121200 is an apocalyptic number.

2130213121200 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 2130213121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867750945864).

2130213121200 is an abundant number, since it is smaller than the sum of its proper divisors (5605288770528).

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

2130213121200 is a wasteful number, since it uses less digits than its factorization.

2130213121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301861 (or 301847 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2130213121200 its reverse (21213120312), we get a palindrome (2151426241512).

The spelling of 2130213121200 in words is "two trillion, one hundred thirty billion, two hundred thirteen million, one hundred twenty-one thousand, two hundred".