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133103120 = 2451663789
BaseRepresentation
bin1111110111011…
…11111000010000
3100021110100011012
413323233320100
5233033244440
621112510052
73204233513
oct773577020
9307410135
10133103120
1169151387
12386ab328
1321764057
141396ad7a
15ba42e65
hex7eefe10

133103120 has 20 divisors (see below), whose sum is σ = 309464940. Its totient is φ = 53241216.

The previous prime is 133103077. The next prime is 133103123. The reversal of 133103120 is 21301331.

It can be written as a sum of positive squares in 2 ways, for example, as 79637776 + 53465344 = 8924^2 + 7312^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 133103095 and 133103104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133103123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 831815 + ... + 831974.

It is an arithmetic number, because the mean of its divisors is an integer number (15473247).

Almost surely, 2133103120 is an apocalyptic number.

133103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133103120 is an abundant number, since it is smaller than the sum of its proper divisors (176361820).

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

133103120 is a wasteful number, since it uses less digits than its factorization.

133103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663802 (or 1663796 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 133103120 is about 11537.0325474101. The cubic root of 133103120 is about 510.5787611310.

Adding to 133103120 its reverse (21301331), we get a palindrome (154404451).

The spelling of 133103120 in words is "one hundred thirty-three million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1663789 3327578 6655156 8318945 13310312 16637890 26620624 33275780 66551560 133103120