Search a number
-
+
122105151 = 347215353
BaseRepresentation
bin1110100011100…
…10110100111111
322111202120210000
413101302310333
5222224331101
620041045343
73011606460
oct721626477
9274676700
10122105151
1162a1a453
1234a86853
131c3b318c
1412306d67
15aabe486
hex7472d3f

122105151 has 20 divisors (see below), whose sum is σ = 208462672. Its totient is φ = 69774048.

The previous prime is 122105147. The next prime is 122105197. The reversal of 122105151 is 151501221.

It is not a de Polignac number, because 122105151 - 22 = 122105147 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122105141) 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 in 19 ways as a sum of consecutive naturals, for example, 107110 + ... + 108243.

Almost surely, 2122105151 is an apocalyptic number.

122105151 is a deficient number, since it is larger than the sum of its proper divisors (86357521).

122105151 is an equidigital number, since it uses as much as digits as its factorization.

122105151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215372 (or 215363 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 122105151 is about 11050.1199541000. The cubic root of 122105151 is about 496.1100158644.

Adding to 122105151 its reverse (151501221), we get a palindrome (273606372).

The spelling of 122105151 in words is "one hundred twenty-two million, one hundred five thousand, one hundred fifty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 215353 646059 1507471 1938177 4522413 5814531 13567239 17443593 40701717 122105151