Search a number
-
+
100191037 is a prime number
BaseRepresentation
bin1011111100011…
…00101100111101
320222112020021011
411332030230331
5201122103122
613535235221
72324416102
oct576145475
9228466234
10100191037
1151612011
1229678b11
13179ac74b
14d440aa9
158be1377
hex5f8cb3d

100191037 has 2 divisors, whose sum is σ = 100191038. Its totient is φ = 100191036.

The previous prime is 100191019. The next prime is 100191073. The reversal of 100191037 is 730191001.

Together with next prime (100191073) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75846681 + 24344356 = 8709^2 + 4934^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100191037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100190999 and 100191017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100191017) 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 as a sum of consecutive naturals, namely, 50095518 + 50095519.

It is an arithmetic number, because the mean of its divisors is an integer number (50095519).

Almost surely, 2100191037 is an apocalyptic number.

It is an amenable number.

100191037 is a deficient number, since it is larger than the sum of its proper divisors (1).

100191037 is an equidigital number, since it uses as much as digits as its factorization.

100191037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 22.

The square root of 100191037 is about 10009.5472924603. The cubic root of 100191037 is about 464.4542670790.

The spelling of 100191037 in words is "one hundred million, one hundred ninety-one thousand, thirty-seven".