Search a number
-
+
100242233 = 7131957977
BaseRepresentation
bin1011111100110…
…01001100111001
320222121211111022
411332121030321
5201130222413
613540312225
72325021260
oct576311471
9228554438
10100242233
1151647523
12296a2675
13179c9b40
14d4555d7
158c01608
hex5f99339

100242233 has 16 divisors (see below), whose sum is σ = 129870720. Its totient is φ = 75136896.

The previous prime is 100242227. The next prime is 100242281. The reversal of 100242233 is 332242001.

It is a cyclic number.

It is not a de Polignac number, because 100242233 - 214 = 100225849 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100242203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27260 + ... + 30717.

It is an arithmetic number, because the mean of its divisors is an integer number (8116920).

Almost surely, 2100242233 is an apocalyptic number.

100242233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100242233 is a deficient number, since it is larger than the sum of its proper divisors (29628487).

100242233 is a wasteful number, since it uses less digits than its factorization.

100242233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58016.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 100242233 is about 10012.1043242667. The cubic root of 100242233 is about 464.5333631486.

Adding to 100242233 its reverse (332242001), we get a palindrome (432484234).

The spelling of 100242233 in words is "one hundred million, two hundred forty-two thousand, two hundred thirty-three".

Divisors: 1 7 13 19 91 133 247 1729 57977 405839 753701 1101563 5275907 7710941 14320319 100242233