Search a number
-
+
122535135 = 3252723003
BaseRepresentation
bin1110100110110…
…11110011011111
322112120102121100
413103123303133
5222332111020
620054204143
73015350202
oct723336337
9275512540
10122535135
1163193508
1235053653
131c503ac8
14123b9939
15ab56a90
hex74dbcdf

122535135 has 12 divisors (see below), whose sum is σ = 212394312. Its totient is φ = 65352048.

The previous prime is 122535131. The next prime is 122535139. The reversal of 122535135 is 531535221.

It is a happy number.

122535135 is a `hidden beast` number, since 122 + 535 + 1 + 3 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (122535131) and next prime (122535139).

It is not a de Polignac number, because 122535135 - 22 = 122535131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122535099 and 122535108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122535131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1361457 + ... + 1361546.

It is an arithmetic number, because the mean of its divisors is an integer number (17699526).

Almost surely, 2122535135 is an apocalyptic number.

122535135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122535135 is a deficient number, since it is larger than the sum of its proper divisors (89859177).

122535135 is a wasteful number, since it uses less digits than its factorization.

122535135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723014 (or 2723011 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 122535135 is about 11069.5589343027. The cubic root of 122535135 is about 496.6916715386.

The spelling of 122535135 in words is "one hundred twenty-two million, five hundred thirty-five thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 45 2723003 8169009 13615015 24507027 40845045 122535135