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10182133 = 131746073
BaseRepresentation
bin100110110101…
…110111110101
3201011022021001
4212311313311
510101312013
61002123301
7152355343
oct46656765
921138231
1010182133
115824a95
1234b0531
132156740
1414d0993
15d61ddd
hex9b5df5

10182133 has 8 divisors (see below), whose sum is σ = 11610648. Its totient is φ = 8845824.

The previous prime is 10182131. The next prime is 10182149. The reversal of 10182133 is 33128101.

It can be written as a sum of positive squares in 4 ways, for example, as 2241009 + 7941124 = 1497^2 + 2818^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10182133 - 21 = 10182131 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10182133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10182131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22816 + ... + 23257.

It is an arithmetic number, because the mean of its divisors is an integer number (1451331).

Almost surely, 210182133 is an apocalyptic number.

10182133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10182133 is a deficient number, since it is larger than the sum of its proper divisors (1428515).

10182133 is a wasteful number, since it uses less digits than its factorization.

10182133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46103.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 10182133 is about 3190.9454711731. The cubic root of 10182133 is about 216.7435863644.

The spelling of 10182133 in words is "ten million, one hundred eighty-two thousand, one hundred thirty-three".

Divisors: 1 13 17 221 46073 598949 783241 10182133