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204222132004401 = 3275014016465127
BaseRepresentation
bin101110011011110100101011…
…101000100010011000110001
3222210002110000111212202110200
4232123310223220202120301
5203231433411243120101
62002202204031145413
761005363545233050
oct5633645350423061
9883073014782420
10204222132004401
115a087135502645
121aaa374a975269
1389c50ab696674
143860592548397
1518924464c4986
hexb9bd2ba22631

204222132004401 has 24 divisors (see below), whose sum is σ = 337129323383424. Its totient is φ = 116698110350400.

The previous prime is 204222132004399. The next prime is 204222132004441. The reversal of 204222132004401 is 104400231222402.

It is a happy number.

204222132004401 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 2 + 2 + 13 + 200 + 440 + 1 = 666.

204222132004401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 204222132004401 - 21 = 204222132004399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (204222132004441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28355700 + ... + 34820826.

It is an arithmetic number, because the mean of its divisors is an integer number (14047055140976).

Almost surely, 2204222132004401 is an apocalyptic number.

204222132004401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

204222132004401 is a deficient number, since it is larger than the sum of its proper divisors (132907191379023).

204222132004401 is a wasteful number, since it uses less digits than its factorization.

204222132004401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6966541 (or 6966538 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 204222132004401 its reverse (104400231222402), we get a palindrome (308622363226803).

The spelling of 204222132004401 in words is "two hundred four trillion, two hundred twenty-two billion, one hundred thirty-two million, four thousand, four hundred one".

Divisors: 1 3 7 9 21 63 501401 1504203 3509807 4512609 6465127 10529421 19395381 31588263 45255889 58186143 135767667 407303001 3241621142927 9724863428781 22691348000489 29174590286343 68074044001467 204222132004401