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20923333201 = 79218312
BaseRepresentation
bin10011011111001000…
…001011101001010001
32000000011221110021201
4103133020023221101
5320322333130301
613340111351201
71340333253301
oct233710135121
960004843251
1020923333201
118967748a11
12407b222501
131c85a80944
141026b97601
15826d56201
hex4df20ba51

20923333201 has 9 divisors (see below), whose sum is σ = 21203118153. Its totient is φ = 20647198260.

The previous prime is 20923333187. The next prime is 20923333213. The reversal of 20923333201 is 10233332902.

It is a happy number.

The square root of 20923333201 is 144649.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 20923333201 - 223 = 20914944593 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20923333201.

It is not an unprimeable number, because it can be changed into a prime (20923333261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11426356 + ... + 11428186.

It is an arithmetic number, because the mean of its divisors is an integer number (2355902017).

Almost surely, 220923333201 is an apocalyptic number.

20923333201 is the 144649-th square number.

20923333201 is the 72325-th centered octagonal number.

It is an amenable number.

20923333201 is a deficient number, since it is larger than the sum of its proper divisors (279784952).

20923333201 is an frugal number, since it uses more digits than its factorization.

20923333201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

The spelling of 20923333201 in words is "twenty billion, nine hundred twenty-three million, three hundred thirty-three thousand, two hundred one".

Divisors: 1 79 1831 6241 144649 3352561 11427271 264852319 20923333201