Search a number
-
+
100236973 is a prime number
BaseRepresentation
bin1011111100101…
…11111010101101
320222121120021111
411332113322231
5201130040343
613540232021
72325000034
oct576277255
9228546244
10100236973
1151643581
122969b611
13179c7625
14d45371b
158beec9d
hex5f97ead

100236973 has 2 divisors, whose sum is σ = 100236974. Its totient is φ = 100236972.

The previous prime is 100236937. The next prime is 100236979. The reversal of 100236973 is 379632001.

Together with previous prime (100236937) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60016009 + 40220964 = 7747^2 + 6342^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100236973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100236979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50118486 + 50118487.

It is an arithmetic number, because the mean of its divisors is an integer number (50118487).

Almost surely, 2100236973 is an apocalyptic number.

It is an amenable number.

100236973 is a deficient number, since it is larger than the sum of its proper divisors (1).

100236973 is an equidigital number, since it uses as much as digits as its factorization.

100236973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 100236973 is about 10011.8416387796. The cubic root of 100236973 is about 464.5252378700.

Adding to 100236973 its reverse (379632001), we get a palindrome (479868974).

The spelling of 100236973 in words is "one hundred million, two hundred thirty-six thousand, nine hundred seventy-three".