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133104220 = 225172317021
BaseRepresentation
bin1111110111100…
…00001001011100
3100021110101122221
413323300021130
5233033313340
621112515124
73204236644
oct773601134
9307411587
10133104220
1169152197
12386abaa4
13217646c2
141396b524
15ba4344a
hex7ef025c

133104220 has 48 divisors (see below), whose sum is σ = 308847168. Its totient is φ = 47928320.

The previous prime is 133104211. The next prime is 133104241. The reversal of 133104220 is 22401331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133104194 and 133104203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 691 + ... + 16330.

It is an arithmetic number, because the mean of its divisors is an integer number (6434316).

Almost surely, 2133104220 is an apocalyptic number.

133104220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133104220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154423584).

133104220 is an abundant number, since it is smaller than the sum of its proper divisors (175742948).

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

133104220 is a wasteful number, since it uses less digits than its factorization.

133104220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17070 (or 17068 counting only the distinct ones).

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

The square root of 133104220 is about 11537.0802198823. The cubic root of 133104220 is about 510.5801676472.

Adding to 133104220 its reverse (22401331), we get a palindrome (155505551).

The spelling of 133104220 in words is "one hundred thirty-three million, one hundred four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1955 3910 7820 17021 34042 68084 85105 170210 289357 340420 391483 578714 782966 1157428 1446785 1565932 1957415 2893570 3914830 5787140 6655211 7829660 13310422 26620844 33276055 66552110 133104220