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20000233201 = 133375098969
BaseRepresentation
bin10010101000000110…
…110101011011110001
31220121211222010010211
4102220012311123301
5311430024430301
613104334224121
71305424114534
oct225006653361
956554863124
1020000233201
118533679253
123a62055041
131b69759b20
14d7a346a1b
157c0cb5051
hex4a81b56f1

20000233201 has 16 divisors (see below), whose sum is σ = 21647480400. Its totient is φ = 18368759808.

The previous prime is 20000233199. The next prime is 20000233217. The reversal of 20000233201 is 10233200002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 344473600 + 19655759601 = 18560^2 + 140199^2 .

It is a cyclic number.

It is not a de Polignac number, because 20000233201 - 21 = 20000233199 is a prime.

It is a super-3 number, since 3×200002332013 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (20000233241) 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 15 ways as a sum of consecutive naturals, for example, 2225445 + ... + 2234413.

It is an arithmetic number, because the mean of its divisors is an integer number (1352967525).

Almost surely, 220000233201 is an apocalyptic number.

It is an amenable number.

20000233201 is a deficient number, since it is larger than the sum of its proper divisors (1647247199).

20000233201 is a wasteful number, since it uses less digits than its factorization.

20000233201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9828.

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 20000233201 its reverse (10233200002), we get a palindrome (30233433203).

The spelling of 20000233201 in words is "twenty billion, two hundred thirty-three thousand, two hundred one".

Divisors: 1 13 337 509 4381 6617 8969 116597 171533 2229929 3022553 4565221 39293189 59347873 1538479477 20000233201