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212111001100200 = 233522931220398873
BaseRepresentation
bin110000001110100111110000…
…110111111001111110101000
31000211000121120100212022001010
4300032213300313321332220
5210300211312240201300
62031042240530223520
762451341225163126
oct6016476067717650
91024017510768033
10212111001100200
11616488524426a4
121b958649124ba0
139147c9b6ac537
143a5432773c916
15197c761e04a50
hexc0e9f0df9fa8

212111001100200 has 192 divisors, whose sum is σ = 659849022584640. Its totient is φ = 56364696647680.

The previous prime is 212111001100147. The next prime is 212111001100249. The reversal of 212111001100200 is 2001100111212.

It is a super-2 number, since 2×2121110011002002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2145237964 + ... + 2145336836.

It is an arithmetic number, because the mean of its divisors is an integer number (3436713659295).

Almost surely, 2212111001100200 is an apocalyptic number.

212111001100200 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 212111001100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329924511292320).

212111001100200 is an abundant number, since it is smaller than the sum of its proper divisors (447738021484440).

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

212111001100200 is a wasteful number, since it uses less digits than its factorization.

212111001100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111388 (or 111379 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212111001100200 its reverse (2001100111212), we get a palindrome (214112101211412).

The spelling of 212111001100200 in words is "two hundred twelve trillion, one hundred eleven billion, one million, one hundred thousand, two hundred".