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221211201100122 = 23212289511172229
BaseRepresentation
bin110010010011000010111111…
…000011111101100101011010
31002000020120202221122111221200
4302103002333003331211122
5212443311014440200442
62102251004534415030
764410660531664152
oct6223027703754532
91060216687574850
10221211201100122
1164537164069812
1220988267801476
139658185635bbc
143c8a971c67762
151a8932717534c
hexc930bf0fd95a

221211201100122 has 12 divisors (see below), whose sum is σ = 479290935716970. Its totient is φ = 73737067033368.

The previous prime is 221211201100069. The next prime is 221211201100177. The reversal of 221211201100122 is 221001102112122.

221211201100122 is a `hidden beast` number, since 221 + 21 + 1 + 201 + 100 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 146817108809721 + 74394092290401 = 12116811^2 + 8625201^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12289511172229 = 221211201100122 / (2 + 2 + 1 + 2 + 1 + 1 + 2 + 0 + 1 + 1 + 0 + 0 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 221211201100095 and 221211201100104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6144755586097 + ... + 6144755586132.

Almost surely, 2221211201100122 is an apocalyptic number.

221211201100122 is an abundant number, since it is smaller than the sum of its proper divisors (258079734616848).

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

221211201100122 is a wasteful number, since it uses less digits than its factorization.

221211201100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12289511172237 (or 12289511172234 counting only the distinct ones).

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

Adding to 221211201100122 its reverse (221001102112122), we get a palindrome (442212303212244).

The spelling of 221211201100122 in words is "two hundred twenty-one trillion, two hundred eleven billion, two hundred one million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 12289511172229 24579022344458 36868533516687 73737067033374 110605600550061 221211201100122