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133041220 = 22513717207
BaseRepresentation
bin1111110111000…
…00110001000100
3100021100012020121
413323200301010
5233024304340
621111311324
73203555164
oct773406104
9307305217
10133041220
1169109924
123867b544
1321741b20
14139525a4
15ba2e94a
hex7ee0c44

133041220 has 48 divisors (see below), whose sum is σ = 305157888. Its totient is φ = 48424320.

The previous prime is 133041199. The next prime is 133041221. The reversal of 133041220 is 22140331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133041194 and 133041203.

It is not an unprimeable number, because it can be changed into a prime (133041221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14857 + ... + 22063.

It is an arithmetic number, because the mean of its divisors is an integer number (6357456).

Almost surely, 2133041220 is an apocalyptic number.

133041220 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 133041220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152578944).

133041220 is an abundant number, since it is smaller than the sum of its proper divisors (172116668).

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

133041220 is a wasteful number, since it uses less digits than its factorization.

133041220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7300 (or 7298 counting only the distinct ones).

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

The square root of 133041220 is about 11534.3495698717. The cubic root of 133041220 is about 510.4996001369.

Adding to 133041220 its reverse (22140331), we get a palindrome (155181551).

The spelling of 133041220 in words is "one hundred thirty-three million, forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 130 142 260 284 355 710 923 1420 1846 3692 4615 7207 9230 14414 18460 28828 36035 72070 93691 144140 187382 374764 468455 511697 936910 1023394 1873820 2046788 2558485 5116970 6652061 10233940 13304122 26608244 33260305 66520610 133041220