Search a number
-
+
312024502053 = 33112787121357
BaseRepresentation
bin1001000101001100001…
…11000000111100100101
31002211101112011000121000
410202212013000330211
520103011233031203
6355201515543513
731354154335545
oct4424607007445
91084345130530
10312024502053
11110368773700
125058045ab99
1323568091a94
14111600db325
1581b316e4a3
hex48a61c0f25

312024502053 has 48 divisors (see below), whose sum is σ = 508752153280. Its totient is φ = 188863915680.

The previous prime is 312024502051. The next prime is 312024502063. The reversal of 312024502053 is 350205420213.

It is a happy number.

312024502053 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 2 + 450 + 205 + 3 = 666.

It is not a de Polignac number, because 312024502053 - 21 = 312024502051 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312024502051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2510451 + ... + 2631807.

Almost surely, 2312024502053 is an apocalyptic number.

312024502053 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312024502053 is a deficient number, since it is larger than the sum of its proper divisors (196727651227).

312024502053 is a wasteful number, since it uses less digits than its factorization.

312024502053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122175 (or 122158 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 312024502053 its reverse (350205420213), we get a palindrome (662229922266).

The spelling of 312024502053 in words is "three hundred twelve billion, twenty-four million, five hundred two thousand, fifty-three".

Divisors: 1 3 9 11 27 33 99 121 297 363 787 1089 2361 3267 7083 8657 21249 25971 77913 95227 121357 233739 285681 364071 857043 1092213 1334927 2571129 3276639 4004781 12014343 14684197 36043029 44052591 95507959 132157773 286523877 396473319 859571631 1050587549 2578714893 3151762647 9455287941 11556463039 28365863823 34669389117 104008167351 312024502053