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10553302431 = 337255714321
BaseRepresentation
bin10011101010000011…
…01001110110011111
31000020110220022101000
421311001221312133
5133103121134211
64503105521343
7522343406400
oct116501516637
930213808330
1010553302431
114526078351
122066343253
13cc2515b69
147218319a7
1541b754656
hex275069d9f

10553302431 has 48 divisors (see below), whose sum is σ = 18221021280. Its totient is φ = 6019211520.

The previous prime is 10553302429. The next prime is 10553302439. The reversal of 10553302431 is 13420335501.

10553302431 is a `hidden beast` number, since 105 + 533 + 0 + 24 + 3 + 1 = 666.

It is not a de Polignac number, because 10553302431 - 21 = 10553302429 is a prime.

It is a super-2 number, since 2×105533024312 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10553302395 and 10553302404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10553302439) 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 47 ways as a sum of consecutive naturals, for example, 729751 + ... + 744071.

It is an arithmetic number, because the mean of its divisors is an integer number (379604610).

Almost surely, 210553302431 is an apocalyptic number.

10553302431 is a deficient number, since it is larger than the sum of its proper divisors (7667718849).

10553302431 is a wasteful number, since it uses less digits than its factorization.

10553302431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14901 (or 14888 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 10553302431 its reverse (13420335501), we get a palindrome (23973637932).

The spelling of 10553302431 in words is "ten billion, five hundred fifty-three million, three hundred two thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 557 1323 1671 3899 5013 11697 14321 15039 27293 35091 42963 81879 100247 105273 128889 245637 300741 386667 701729 736911 902223 2105187 2706669 6315561 7976797 18946683 23930391 55837579 71791173 167512737 215373519 390863053 502538211 1172589159 1507614633 3517767477 10553302431