Search a number
-
+
122061135 = 3571676961
BaseRepresentation
bin1110100011010…
…00000101001111
322111200100101210
413101220011033
5222221424020
620040105503
73011334240
oct721500517
9274610353
10122061135
116299a379
1234a65293
131c399131
14122d4cc7
15aab13e0
hex746814f

122061135 has 32 divisors (see below), whose sum is σ = 224566272. Its totient is φ = 55457280.

The previous prime is 122061091. The next prime is 122061169. The reversal of 122061135 is 531160221.

It is not a de Polignac number, because 122061135 - 27 = 122061007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14055 + ... + 21015.

It is an arithmetic number, because the mean of its divisors is an integer number (7017696).

Almost surely, 2122061135 is an apocalyptic number.

122061135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122061135 is a deficient number, since it is larger than the sum of its proper divisors (102505137).

122061135 is a wasteful number, since it uses less digits than its factorization.

122061135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7143.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 122061135 is about 11048.1281219942. The cubic root of 122061135 is about 496.0503967501.

The spelling of 122061135 in words is "one hundred twenty-two million, sixty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 7 15 21 35 105 167 501 835 1169 2505 3507 5845 6961 17535 20883 34805 48727 104415 146181 243635 730905 1162487 3487461 5812435 8137409 17437305 24412227 40687045 122061135