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133220100 = 223521334159
BaseRepresentation
bin1111111000011…
…00011100000100
3100021200021121210
413330030130010
5233101020400
621115211420
73205231536
oct774143404
9307607553
10133220100
1169221262
1238746b70
13217a5380
141399b856
15ba67950
hex7f0c704

133220100 has 72 divisors (see below), whose sum is σ = 415112320. Its totient is φ = 32791680.

The previous prime is 133220093. The next prime is 133220123. The reversal of 133220100 is 1022331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13180 + ... + 20979.

Almost surely, 2133220100 is an apocalyptic number.

133220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133220100 is an abundant number, since it is smaller than the sum of its proper divisors (281892220).

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

133220100 is a wasteful number, since it uses less digits than its factorization.

133220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34189 (or 34182 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 133220100 is about 11542.1011951897. The cubic root of 133220100 is about 510.7282943513.

Adding to 133220100 its reverse (1022331), we get a palindrome (134242431).

The spelling of 133220100 in words is "one hundred thirty-three million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 34159 68318 102477 136636 170795 204954 341590 409908 444067 512385 683180 853975 888134 1024770 1332201 1707950 1776268 2049540 2220335 2561925 2664402 3415900 4440670 5123850 5328804 6661005 8881340 10247700 11101675 13322010 22203350 26644020 33305025 44406700 66610050 133220100