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10100133 = 34124693
BaseRepresentation
bin100110100001…
…110110100101
3201000010210000
4212201312211
510041201013
61000251513
7151564311
oct46416645
921003700
1010100133
11577941a
123470b99
132128314
1414acb41
15d47973
hex9a1da5

10100133 has 10 divisors (see below), whose sum is σ = 15087974. Its totient is φ = 6733368.

The previous prime is 10100131. The next prime is 10100147. The reversal of 10100133 is 33100101.

10100133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7387524 + 2712609 = 2718^2 + 1647^2 .

It is not a de Polignac number, because 10100133 - 21 = 10100131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100131) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 62266 + ... + 62427.

Almost surely, 210100133 is an apocalyptic number.

It is an amenable number.

10100133 is a deficient number, since it is larger than the sum of its proper divisors (4987841).

10100133 is an equidigital number, since it uses as much as digits as its factorization.

10100133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124705 (or 124696 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 10100133 is about 3178.0706411280. The cubic root of 10100133 is about 216.1601821081.

Adding to 10100133 its reverse (33100101), we get a palindrome (43200234).

The spelling of 10100133 in words is "ten million, one hundred thousand, one hundred thirty-three".

Divisors: 1 3 9 27 81 124693 374079 1122237 3366711 10100133