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133036033 = 13175231151
BaseRepresentation
bin1111110110111…
…11100000000001
3100021022221010111
413323133200001
5233024123113
621111231321
73203534104
oct773374001
9307287114
10133036033
1169105a39
1238678541
132173c660
141395073b
15ba2d13d
hex7edf801

133036033 has 16 divisors (see below), whose sum is σ = 152119296. Its totient is φ = 115257600.

The previous prime is 133036031. The next prime is 133036069. The reversal of 133036033 is 330630331.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 133036033 - 21 = 133036031 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133035995 and 133036013.

It is not an unprimeable number, because it can be changed into a prime (133036031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115008 + ... + 116158.

It is an arithmetic number, because the mean of its divisors is an integer number (9507456).

Almost surely, 2133036033 is an apocalyptic number.

133036033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133036033 is a deficient number, since it is larger than the sum of its proper divisors (19083263).

133036033 is a wasteful number, since it uses less digits than its factorization.

133036033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704.

The product of its (nonzero) digits is 1458, while the sum is 22.

The square root of 133036033 is about 11534.1247175501. The cubic root of 133036033 is about 510.4929656121.

Adding to 133036033 its reverse (330630331), we get a palindrome (463666364).

The spelling of 133036033 in words is "one hundred thirty-three million, thirty-six thousand, thirty-three".

Divisors: 1 13 17 221 523 1151 6799 8891 14963 19567 115583 254371 601973 7825649 10233541 133036033