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133045335 = 3453110597
BaseRepresentation
bin1111110111000…
…01110001010111
3100021100101220000
413323201301113
5233024422320
621111342343
73203603163
oct773416127
9307311800
10133045335
1169111a25
12386819b3
1321743967
1413953ca3
15ba30c90
hex7ee1c57

133045335 has 40 divisors (see below), whose sum is σ = 246212736. Its totient is φ = 68662080.

The previous prime is 133045333. The next prime is 133045337. The reversal of 133045335 is 533540331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133045333) and next prime (133045337).

It is not a de Polignac number, because 133045335 - 21 = 133045333 is a prime.

It is a super-2 number, since 2×1330453352 = 35402122330524450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133045299 and 133045308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133045333) 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 39 ways as a sum of consecutive naturals, for example, 7257 + ... + 17853.

Almost surely, 2133045335 is an apocalyptic number.

133045335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

133045335 is a deficient number, since it is larger than the sum of its proper divisors (113167401).

133045335 is a wasteful number, since it uses less digits than its factorization.

133045335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10645 (or 10636 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 133045335 is about 11534.5279487285. The cubic root of 133045335 is about 510.5048633784.

Adding to 133045335 its reverse (533540331), we get a palindrome (666585666).

It can be divided in two parts, 1330 and 45335, that added together give a triangular number (46665 = T305).

The spelling of 133045335 in words is "one hundred thirty-three million, forty-five thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 27 31 45 81 93 135 155 279 405 465 837 1395 2511 4185 10597 12555 31791 52985 95373 158955 286119 328507 476865 858357 985521 1430595 1642535 2956563 4291785 4927605 8869689 14782815 26609067 44348445 133045335