Search a number
-
+
10100992919 is a prime number
BaseRepresentation
bin10010110100001000…
…01110101110010111
3222001221210121100212
421122010032232113
5131141323233134
64350151200035
7505212010643
oct113204165627
928057717325
1010100992919
114313824536
121b5a97601b
13c4c8babb4
146bb731c23
153e1babbce
hex25a10eb97

10100992919 has 2 divisors, whose sum is σ = 10100992920. Its totient is φ = 10100992918.

The previous prime is 10100992907. The next prime is 10100992939. The reversal of 10100992919 is 91929900101.

It is a happy number.

10100992919 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10100992919 - 212 = 10100988823 is a prime.

It is a super-2 number, since 2×101009929192 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100992939) 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, 5050496459 + 5050496460.

It is an arithmetic number, because the mean of its divisors is an integer number (5050496460).

Almost surely, 210100992919 is an apocalyptic number.

10100992919 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100992919 is an equidigital number, since it uses as much as digits as its factorization.

10100992919 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 41.

The spelling of 10100992919 in words is "ten billion, one hundred million, nine hundred ninety-two thousand, nine hundred nineteen".