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13202100233 = 72269430617
BaseRepresentation
bin11000100101110100…
…00001000000001001
31021002002002011212022
430102322001000021
5204014214201413
610022010454225
7645106000100
oct142272010011
937062064768
1013202100233
115665272343
122685434375
131325212c3a
148d3537037
15524073608
hex312e81009

13202100233 has 6 divisors (see below), whose sum is σ = 15357545226. Its totient is φ = 11316085872.

The previous prime is 13202100217. The next prime is 13202100281. The reversal of 13202100233 is 33200120231.

It can be written as a sum of positive squares in only one way, i.e., 10659117049 + 2542983184 = 103243^2 + 50428^2 .

It is not a de Polignac number, because 13202100233 - 24 = 13202100217 is a prime.

It is a super-3 number, since 3×132021002333 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13202100133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 134715260 + ... + 134715357.

It is an arithmetic number, because the mean of its divisors is an integer number (2559590871).

Almost surely, 213202100233 is an apocalyptic number.

It is an amenable number.

13202100233 is a deficient number, since it is larger than the sum of its proper divisors (2155444993).

13202100233 is an equidigital number, since it uses as much as digits as its factorization.

13202100233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269430631 (or 269430624 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13202100233 its reverse (33200120231), we get a palindrome (46402220464).

The spelling of 13202100233 in words is "thirteen billion, two hundred two million, one hundred thousand, two hundred thirty-three".

Divisors: 1 7 49 269430617 1886014319 13202100233