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2131213200000 = 273551776011
BaseRepresentation
bin11111000000110110001…
…101001010101010000000
321112202000220122001010020
4133000312031022222000
5234404211034400000
64311022115133440
7306655310205453
oct37006615125200
97482026561106
102131213200000
1175192a322045
122a5062ba4280
13125c848a2611
147521912349a
153a6875d7ba0
hex1f03634aa80

2131213200000 has 192 divisors, whose sum is σ = 7075844929440. Its totient is φ = 568323200000.

The previous prime is 2131213199977. The next prime is 2131213200019. The reversal of 2131213200000 is 23121312.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311995 + ... + 2088005.

Almost surely, 22131213200000 is an apocalyptic number.

2131213200000 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 2131213200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537922464720).

2131213200000 is an abundant number, since it is smaller than the sum of its proper divisors (4944631729440).

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

2131213200000 is an frugal number, since it uses more digits than its factorization.

2131213200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776053 (or 1776021 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2131213200000 its reverse (23121312), we get a palindrome (2131236321312).

The spelling of 2131213200000 in words is "two trillion, one hundred thirty-one billion, two hundred thirteen million, two hundred thousand".