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30135053151 = 3271979318677
BaseRepresentation
bin11100000100001100…
…000110101101011111
32212210011102022110200
4130010030012231133
5443204033200101
621502134434543
72114526503550
oct340414065537
985704368420
1030135053151
11118644a7505
125a10202a53
132ac335c8c8
14165c362327
15bb5904986
hex704306b5f

30135053151 has 48 divisors (see below), whose sum is σ = 53028019200. Its totient is φ = 16107159744.

The previous prime is 30135053129. The next prime is 30135053173. The reversal of 30135053151 is 15135053103.

30135053151 is a `hidden beast` number, since 3 + 0 + 1 + 3 + 505 + 3 + 151 = 666.

It is an interprime number because it is at equal distance from previous prime (30135053129) and next prime (30135053173).

It is not a de Polignac number, because 30135053151 - 27 = 30135053023 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30135053191) 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 47 ways as a sum of consecutive naturals, for example, 64776 + ... + 253901.

It is an arithmetic number, because the mean of its divisors is an integer number (1104750400).

Almost surely, 230135053151 is an apocalyptic number.

30135053151 is a deficient number, since it is larger than the sum of its proper divisors (22892966049).

30135053151 is a wasteful number, since it uses less digits than its factorization.

30135053151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318788 (or 318785 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

The spelling of 30135053151 in words is "thirty billion, one hundred thirty-five million, fifty-three thousand, one hundred fifty-one".

Divisors: 1 3 7 9 19 21 57 63 79 133 171 237 399 553 711 1197 1501 1659 4503 4977 10507 13509 31521 94563 318677 956031 2230739 2868093 6054863 6692217 18164589 20076651 25175483 42384041 54493767 75526449 127152123 176228381 226579347 381456369 478334177 528685143 1435002531 1586055429 3348339239 4305007593 10045017717 30135053151