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133142020 = 22511605191
BaseRepresentation
bin1111110111110…
…01011000000100
3100021112022111221
413323321120010
5233041021040
621113410124
73204455104
oct773713004
9307468457
10133142020
1169178630
1238709944
132177897b
141397b204
15ba4e74a
hex7ef9604

133142020 has 24 divisors (see below), whose sum is σ = 305016768. Its totient is φ = 48415200.

The previous prime is 133142003. The next prime is 133142033. The reversal of 133142020 is 20241331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133141985 and 133142003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302376 + ... + 302815.

It is an arithmetic number, because the mean of its divisors is an integer number (12709032).

Almost surely, 2133142020 is an apocalyptic number.

133142020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133142020 is an abundant number, since it is smaller than the sum of its proper divisors (171874748).

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

133142020 is a wasteful number, since it uses less digits than its factorization.

133142020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605211 (or 605209 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 133142020 is about 11538.7182997073. The cubic root of 133142020 is about 510.6284959513.

Adding to 133142020 its reverse (20241331), we get a palindrome (153383351).

The spelling of 133142020 in words is "one hundred thirty-three million, one hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 605191 1210382 2420764 3025955 6051910 6657101 12103820 13314202 26628404 33285505 66571010 133142020