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10133145 = 3251121861
BaseRepresentation
bin100110101001…
…111010011001
3201001211001200
4212221322121
510043230040
61001104413
7152062461
oct46517231
921054050
1010133145
1157a1200
123488109
13213a359
1414baba1
15d52630
hex9a9e99

10133145 has 36 divisors (see below), whose sum is σ = 19316388. Its totient is φ = 4910400.

The previous prime is 10133143. The next prime is 10133159. The reversal of 10133145 is 54133101.

It can be written as a sum of positive squares in 2 ways, for example, as 1115136 + 9018009 = 1056^2 + 3003^2 .

It is not a de Polignac number, because 10133145 - 21 = 10133143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10133143) 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 35 ways as a sum of consecutive naturals, for example, 4515 + ... + 6375.

Almost surely, 210133145 is an apocalyptic number.

10133145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10133145 is a deficient number, since it is larger than the sum of its proper divisors (9183243).

10133145 is a wasteful number, since it uses less digits than its factorization.

10133145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10133145 is about 3183.2601213222. The cubic root of 10133145 is about 216.3954304804.

Adding to 10133145 its reverse (54133101), we get a palindrome (64266246).

The spelling of 10133145 in words is "ten million, one hundred thirty-three thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 363 495 605 1089 1815 1861 5445 5583 9305 16749 20471 27915 61413 83745 102355 184239 225181 307065 675543 921195 1125905 2026629 3377715 10133145