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2212112103300 = 223352112329111667
BaseRepresentation
bin100000001100001100001…
…001111111011110000100
321211110211220012010122000
4200030030021333132010
5242220401144301200
64412121423305300
7315551125430421
oct40141411773604
97743756163560
102212112103300
11783173681510
122b887ba4b230
131307a8008878
14790d1410d48
153c81e968300
hex2030c27f784

2212112103300 has 576 divisors, whose sum is σ = 8374563993600. Its totient is φ = 495261043200.

The previous prime is 2212112103293. The next prime is 2212112103343. The reversal of 2212112103300 is 33012112122.

2212112103300 is a `hidden beast` number, since 2 + 2 + 121 + 1 + 210 + 330 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 19754067 + ... + 19865733.

It is an arithmetic number, because the mean of its divisors is an integer number (14539173600).

Almost surely, 22212112103300 is an apocalyptic number.

2212112103300 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 2212112103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187281996800).

2212112103300 is an abundant number, since it is smaller than the sum of its proper divisors (6162451890300).

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

2212112103300 is a wasteful number, since it uses less digits than its factorization.

2212112103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111753 (or 111740 counting only the distinct ones).

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

Adding to 2212112103300 its reverse (33012112122), we get a palindrome (2245124215422).

The spelling of 2212112103300 in words is "two trillion, two hundred twelve billion, one hundred twelve million, one hundred three thousand, three hundred".