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221213014004430 = 2325729101119881109
BaseRepresentation
bin110010010011000100101011…
…000111101001001011001110
31002000020202110021221121010200
4302103010223013221023032
5212443323223041120210
62102251504455314330
764411053464265360
oct6223045307511316
91060222407847120
10221213014004430
1164537a04437638
122098869297b9a6
1396583b40c3746
143c8aaa493cd30
151a893d13cc0c0
hexc9312b1e92ce

221213014004430 has 192 divisors, whose sum is σ = 686717360035200. Its totient is φ = 48336062745600.

The previous prime is 221213014004419. The next prime is 221213014004491. The reversal of 221213014004430 is 34400410312122.

221213014004430 is a `hidden beast` number, since 2 + 2 + 1 + 213 + 0 + 1 + 4 + 0 + 0 + 443 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 221213014004394 and 221213014004403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58095285 + ... + 61785824.

It is an arithmetic number, because the mean of its divisors is an integer number (3576652916850).

Almost surely, 2221213014004430 is an apocalyptic number.

221213014004430 is an abundant number, since it is smaller than the sum of its proper divisors (465504346030770).

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

221213014004430 is a wasteful number, since it uses less digits than its factorization.

221213014004430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119881259 (or 119881256 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 221213014004430 its reverse (34400410312122), we get a palindrome (255613424316552).

The spelling of 221213014004430 in words is "two hundred twenty-one trillion, two hundred thirteen billion, fourteen million, four thousand, four hundred thirty".