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10317933 = 326771241
BaseRepresentation
bin100111010111…
…000001101101
3201102012112200
4213113001231
510120133213
61005052113
7153462303
oct47270155
921365480
1010317933
11590801a
123557039
1321a34b2
141528273
15d8c273
hex9d706d

10317933 has 24 divisors (see below), whose sum is σ = 15402816. Its totient is φ = 6652800.

The previous prime is 10317919. The next prime is 10317941. The reversal of 10317933 is 33971301.

10317933 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10317933 - 29 = 10317421 is a prime.

It is a super-3 number, since 3×103179333 (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10317897 and 10317906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10317943) 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 23 ways as a sum of consecutive naturals, for example, 42693 + ... + 42933.

It is an arithmetic number, because the mean of its divisors is an integer number (641784).

Almost surely, 210317933 is an apocalyptic number.

It is an amenable number.

10317933 is a deficient number, since it is larger than the sum of its proper divisors (5084883).

10317933 is a wasteful number, since it uses less digits than its factorization.

10317933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 10317933 is about 3212.1539502334. The cubic root of 10317933 is about 217.7029101269.

The spelling of 10317933 in words is "ten million, three hundred seventeen thousand, nine hundred thirty-three".

Divisors: 1 3 9 67 71 201 213 241 603 639 723 2169 4757 14271 16147 17111 42813 48441 51333 145323 153999 1146437 3439311 10317933