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2212131102300 = 2232527261822323
BaseRepresentation
bin100000001100001101010…
…010011101111001011100
321211110220012221101100200
4200030031102131321130
5242220421030233200
64412123342423500
7315551446060200
oct40141522357134
97743805841320
102212131102300
11783183378769
122b8886291b90
131307abc2b492
14790d3b58b00
153c82146c800
hex2030d49de5c

2212131102300 has 324 divisors, whose sum is σ = 8198088398136. Its totient is φ = 497340345600.

The previous prime is 2212131102299. The next prime is 2212131102343. The reversal of 2212131102300 is 32011312122.

2212131102300 is a `hidden beast` number, since 2 + 2 + 121 + 311 + 0 + 230 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2278939 + ... + 3101261.

Almost surely, 22212131102300 is an apocalyptic number.

2212131102300 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 2212131102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099044199068).

2212131102300 is an abundant number, since it is smaller than the sum of its proper divisors (5985957295836).

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

2212131102300 is a wasteful number, since it uses less digits than its factorization.

2212131102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822418 (or 822401 counting only the distinct ones).

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

Adding to 2212131102300 its reverse (32011312122), we get a palindrome (2244142414422).

The spelling of 2212131102300 in words is "two trillion, two hundred twelve billion, one hundred thirty-one million, one hundred two thousand, three hundred".