Search a number
-
+
100232257 is a prime number
BaseRepresentation
bin1011111100101…
…10110001000001
320222121022210211
411332112301001
5201124413012
613540154121
72324650216
oct576266101
9228538724
10100232257
115163aa84
1229698941
13179c5438
14d451b0d
158bed6a7
hex5f96c41

100232257 has 2 divisors, whose sum is σ = 100232258. Its totient is φ = 100232256.

The previous prime is 100232233. The next prime is 100232261. The reversal of 100232257 is 752232001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52359696 + 47872561 = 7236^2 + 6919^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100232257 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100232227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50116128 + 50116129.

It is an arithmetic number, because the mean of its divisors is an integer number (50116129).

Almost surely, 2100232257 is an apocalyptic number.

It is an amenable number.

100232257 is a deficient number, since it is larger than the sum of its proper divisors (1).

100232257 is an equidigital number, since it uses as much as digits as its factorization.

100232257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 100232257 is about 10011.6061149048. The cubic root of 100232257 is about 464.5179526826.

Adding to 100232257 its reverse (752232001), we get a palindrome (852464258).

It can be divided in two parts, 100232 and 257, that added together give a square (100489 = 3172).

The spelling of 100232257 in words is "one hundred million, two hundred thirty-two thousand, two hundred fifty-seven".