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221211201100212 = 223319311757457903
BaseRepresentation
bin110010010011000010111111…
…000011111101100110110100
31002000020120202221122112002000
4302103002333003331212310
5212443311014440201322
62102251004534415300
764410660531664341
oct6223027703754664
91060216687575060
10221211201100212
1164537164069894
1220988267801530
139658185635c5b
143c8a971c677c8
151a893271753ac
hexc930bf0fd9b4

221211201100212 has 192 divisors, whose sum is σ = 606437800550400. Its totient is φ = 69539415442560.

The previous prime is 221211201100207. The next prime is 221211201100213. The reversal of 221211201100212 is 212001102112122.

221211201100212 is a `hidden beast` number, since 221 + 2 + 1 + 120 + 110 + 0 + 212 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221211201100213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 482867253 + ... + 483325155.

It is an arithmetic number, because the mean of its divisors is an integer number (3158530211200).

Almost surely, 2221211201100212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221211201100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303218900275200).

221211201100212 is an abundant number, since it is smaller than the sum of its proper divisors (385226599450188).

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

221211201100212 is a wasteful number, since it uses less digits than its factorization.

221211201100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459003 (or 458995 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221211201100212 its reverse (212001102112122), we get a palindrome (433212303212334).

The spelling of 221211201100212 in words is "two hundred twenty-one trillion, two hundred eleven billion, two hundred one million, one hundred thousand, two hundred twelve".