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135050031 = 3313673659
BaseRepresentation
bin10000000110010…
…11001100101111
3100102010020211000
420003023030233
5234033100111
621222331343
73226622604
oct1003131457
9312106730
10135050031
116a2610a6
1239289b53
1321c9627c
1413d166ab
15bcc9c56
hex80cb32f

135050031 has 16 divisors (see below), whose sum is σ = 200275200. Its totient is φ = 89942904.

The previous prime is 135050017. The next prime is 135050039. The reversal of 135050031 is 130050531.

It is a happy number.

135050031 is a `hidden beast` number, since 135 + 0 + 500 + 31 = 666.

It is a de Polignac number, because none of the positive numbers 2k-135050031 is a prime.

It is a super-2 number, since 2×1350500312 = 36477021746201922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135049986 and 135050013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135050039) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35080 + ... + 38738.

It is an arithmetic number, because the mean of its divisors is an integer number (12517200).

Almost surely, 2135050031 is an apocalyptic number.

135050031 is a deficient number, since it is larger than the sum of its proper divisors (65225169).

135050031 is a wasteful number, since it uses less digits than its factorization.

135050031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035 (or 5029 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 135050031 is about 11621.1028306267. The cubic root of 135050031 is about 513.0561478847.

It can be divided in two parts, 1350500 and 31, that added together give a palindrome (1350531).

The spelling of 135050031 in words is "one hundred thirty-five million, fifty thousand, thirty-one".

Divisors: 1 3 9 27 1367 3659 4101 10977 12303 32931 36909 98793 5001853 15005559 45016677 135050031