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133349130 = 23256532269
BaseRepresentation
bin1111111001010…
…11111100001010
3100021220211121200
413330223330022
5233114133010
621122045030
73206306655
oct774537412
9307824550
10133349130
11692aa1a2
12387a9776
132181c015
14139d289c
15ba90cc0
hex7f2bf0a

133349130 has 48 divisors (see below), whose sum is σ = 347391720. Its totient is φ = 35489664.

The previous prime is 133349129. The next prime is 133349131. The reversal of 133349130 is 31943331.

133349130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133349129) and next prime (133349131).

It can be written as a sum of positive squares in 4 ways, for example, as 52403121 + 80946009 = 7239^2 + 8997^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133349094 and 133349103.

It is not an unprimeable number, because it can be changed into a prime (133349131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57636 + ... + 59904.

Almost surely, 2133349130 is an apocalyptic number.

133349130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133349130 is an abundant number, since it is smaller than the sum of its proper divisors (214042590).

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

133349130 is a wasteful number, since it uses less digits than its factorization.

133349130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 133349130 is about 11547.6893792654. The cubic root of 133349130 is about 510.8931293568.

The spelling of 133349130 in words is "one hundred thirty-three million, three hundred forty-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 653 1306 1959 2269 3265 3918 4538 5877 6530 6807 9795 11345 11754 13614 19590 20421 22690 29385 34035 40842 58770 68070 102105 204210 1481657 2963314 4444971 7408285 8889942 13334913 14816570 22224855 26669826 44449710 66674565 133349130