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2131331220200 = 235271383289191
BaseRepresentation
bin11111000000111101001…
…111011000001011101000
321112202100010201002101202
4133000331033120023220
5234404431243021300
64311041532503332
7306661242312620
oct37007517301350
97482303632352
102131331220200
1175198aa013a6
122a509661ab48
13125ca3185360
147522aa85880
153a692b4bad5
hex1f03d3d82e8

2131331220200 has 576 divisors, whose sum is σ = 6275298355200. Its totient is φ = 655466803200.

The previous prime is 2131331220157. The next prime is 2131331220211. The reversal of 2131331220200 is 20221331312.

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 143 ways as a sum of consecutive naturals, for example, 11158802105 + ... + 11158802295.

It is an arithmetic number, because the mean of its divisors is an integer number (10894615200).

Almost surely, 22131331220200 is an apocalyptic number.

2131331220200 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 2131331220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137649177600).

2131331220200 is an abundant number, since it is smaller than the sum of its proper divisors (4143967135000).

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

2131331220200 is a wasteful number, since it uses less digits than its factorization.

2131331220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2131331220200 its reverse (20221331312), we get a palindrome (2151552551512).

The spelling of 2131331220200 in words is "two trillion, one hundred thirty-one billion, three hundred thirty-one million, two hundred twenty thousand, two hundred".