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133119220 = 22513511997
BaseRepresentation
bin1111110111100…
…11110011110100
3100021111011020111
413323303303310
5233034303340
621113112404
73204331453
oct773636364
9307434214
10133119220
1169162493
12386b8704
132176b490
1413972b9a
15ba47aea
hex7ef3cf4

133119220 has 24 divisors (see below), whose sum is σ = 301054824. Its totient is φ = 49151616.

The previous prime is 133119209. The next prime is 133119221. The reversal of 133119220 is 22911331.

It can be written as a sum of positive squares in 4 ways, for example, as 2108304 + 131010916 = 1452^2 + 11446^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133119191 and 133119200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133119221) 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, 255739 + ... + 256258.

It is an arithmetic number, because the mean of its divisors is an integer number (12543951).

Almost surely, 2133119220 is an apocalyptic number.

133119220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133119220 is an abundant number, since it is smaller than the sum of its proper divisors (167935604).

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

133119220 is a wasteful number, since it uses less digits than its factorization.

133119220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512019 (or 512017 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 133119220 is about 11537.7302793920. The cubic root of 133119220 is about 510.5993466405.

The spelling of 133119220 in words is "one hundred thirty-three million, one hundred nineteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 511997 1023994 2047988 2559985 5119970 6655961 10239940 13311922 26623844 33279805 66559610 133119220