Search a number
-
+
101954431 is a prime number
BaseRepresentation
bin1100001001110…
…11001101111111
321002211211012001
412010323031333
5202100020211
614041123131
72345412145
oct604731577
9232754161
10101954431
1152606967
122a1894a7
1318179287
14d77d595
158e3dac1
hex613b37f

101954431 has 2 divisors, whose sum is σ = 101954432. Its totient is φ = 101954430.

The previous prime is 101954383. The next prime is 101954449. The reversal of 101954431 is 134459101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101954431 - 213 = 101946239 is a prime.

It is a super-2 number, since 2×1019544312 = 20789412001067522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101954431.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101954471) 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, 50977215 + 50977216.

It is an arithmetic number, because the mean of its divisors is an integer number (50977216).

Almost surely, 2101954431 is an apocalyptic number.

101954431 is a deficient number, since it is larger than the sum of its proper divisors (1).

101954431 is an equidigital number, since it uses as much as digits as its factorization.

101954431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 101954431 is about 10097.2486846665. The cubic root of 101954431 is about 467.1632829459.

The spelling of 101954431 in words is "one hundred one million, nine hundred fifty-four thousand, four hundred thirty-one".