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133103024 = 24233111163
BaseRepresentation
bin1111110111011…
…11110110110000
3100021110100000122
413323233312300
5233033244044
621112505412
73204233315
oct773576660
9307410018
10133103024
11691512aa
12386ab268
1321763cb2
141396ad0c
15ba42dee
hex7eefdb0

133103024 has 40 divisors (see below), whose sum is σ = 270196992. Its totient is φ = 63398720.

The previous prime is 133103021. The next prime is 133103053. The reversal of 133103024 is 420301331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133102993 and 133103011.

It is not an unprimeable number, because it can be changed into a prime (133103021) 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 7 ways as a sum of consecutive naturals, for example, 113867 + ... + 115029.

Almost surely, 2133103024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133103024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135098496).

133103024 is an abundant number, since it is smaller than the sum of its proper divisors (137093968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133103024 is a wasteful number, since it uses less digits than its factorization.

133103024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 133103024 is about 11537.0283868941. The cubic root of 133103024 is about 510.5786383801.

Adding to 133103024 its reverse (420301331), we get a palindrome (553404355).

The spelling of 133103024 in words is "one hundred thirty-three million, one hundred three thousand, twenty-four".

Divisors: 1 2 4 8 16 23 46 92 184 311 368 622 1163 1244 2326 2488 4652 4976 7153 9304 14306 18608 26749 28612 53498 57224 106996 114448 213992 361693 427984 723386 1446772 2893544 5787088 8318939 16637878 33275756 66551512 133103024