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133313103 = 32711474093
BaseRepresentation
bin1111111001000…
…11001001001111
3100021212000012100
413330203021033
5233112004403
621121210143
73206066640
oct774431117
9307760170
10133313103
1169285120
1238790953
13218087c1
14139c36c7
15ba852a3
hex7f2324f

133313103 has 48 divisors (see below), whose sum is σ = 245246976. Its totient is φ = 67763520.

The previous prime is 133313077. The next prime is 133313107. The reversal of 133313103 is 301313331.

It is not a de Polignac number, because 133313103 - 28 = 133312847 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133313107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30525 + ... + 34617.

It is an arithmetic number, because the mean of its divisors is an integer number (5109312).

Almost surely, 2133313103 is an apocalyptic number.

133313103 is a deficient number, since it is larger than the sum of its proper divisors (111933873).

133313103 is a wasteful number, since it uses less digits than its factorization.

133313103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4164 (or 4161 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 133313103 is about 11546.1293514320. The cubic root of 133313103 is about 510.8471157967.

Adding to 133313103 its reverse (301313331), we get a palindrome (434626434).

It can be divided in two parts, 133 and 313103, that added together give a triangular number (313236 = T791).

The spelling of 133313103 in words is "one hundred thirty-three million, three hundred thirteen thousand, one hundred three".

Divisors: 1 3 7 9 11 21 33 47 63 77 99 141 231 329 423 517 693 987 1551 2961 3619 4093 4653 10857 12279 28651 32571 36837 45023 85953 135069 192371 257859 315161 405207 577113 945483 1346597 1731339 2116081 2836449 4039791 6348243 12119373 14812567 19044729 44437701 133313103