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133103355 = 357211101163
BaseRepresentation
bin1111110111011…
…11111011111011
3100021110100110220
413323233323323
5233033301410
621112511123
73204234300
oct773577373
9307410426
10133103355
1169151580
12386ab4a3
13217641a8
141396b0a7
15ba43070
hex7eefefb

133103355 has 96 divisors (see below), whose sum is σ = 274606848. Its totient is φ = 54432000.

The previous prime is 133103317. The next prime is 133103363. The reversal of 133103355 is 553301331.

It is not a de Polignac number, because 133103355 - 210 = 133102331 is a prime.

It is a super-2 number, since 2×1331033552 = 35433006224512050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 816504 + ... + 816666.

It is an arithmetic number, because the mean of its divisors is an integer number (2860488).

Almost surely, 2133103355 is an apocalyptic number.

133103355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

133103355 is an abundant number, since it is smaller than the sum of its proper divisors (141503493).

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

133103355 is a wasteful number, since it uses less digits than its factorization.

133103355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 24.

The square root of 133103355 is about 11537.0427320003. The cubic root of 133103355 is about 510.5790616147.

Adding to 133103355 its reverse (553301331), we get a palindrome (686404686).

The spelling of 133103355 in words is "one hundred thirty-three million, one hundred three thousand, three hundred fifty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 101 105 147 163 165 231 245 303 385 489 505 539 707 735 815 1111 1141 1155 1515 1617 1793 2121 2445 2695 3333 3423 3535 4949 5379 5555 5705 7777 7987 8085 8965 10605 12551 14847 16463 16665 17115 23331 23961 24745 26895 37653 38885 39935 49389 54439 62755 74235 82315 87857 115241 116655 119805 163317 181093 188265 246945 263571 272195 345723 439285 543279 576205 806687 816585 905465 1267651 1317855 1728615 2420061 2716395 3802953 4033435 6338255 8873557 12100305 19014765 26620671 44367785 133103355