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133034037 = 31311672027
BaseRepresentation
bin1111110110111…
…11000000110101
3100021022211101120
413323133000311
5233024042122
621111214153
73203525223
oct773370065
9307284346
10133034037
1169104494
1238677359
132173b786
141394db13
15ba2c75c
hex7edf035

133034037 has 16 divisors (see below), whose sum is σ = 179891712. Its totient is φ = 87442160.

The previous prime is 133034021. The next prime is 133034117. The reversal of 133034037 is 730430331.

It is a cyclic number.

It is not a de Polignac number, because 133034037 - 24 = 133034021 is a prime.

It is a super-3 number, since 3×1330340373 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133033998 and 133034016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133034137) 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 15 ways as a sum of consecutive naturals, for example, 64618 + ... + 66644.

It is an arithmetic number, because the mean of its divisors is an integer number (11243232).

Almost surely, 2133034037 is an apocalyptic number.

It is an amenable number.

133034037 is a deficient number, since it is larger than the sum of its proper divisors (46857675).

133034037 is a wasteful number, since it uses less digits than its factorization.

133034037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328.

The product of its (nonzero) digits is 2268, while the sum is 24.

The square root of 133034037 is about 11534.0381913708. The cubic root of 133034037 is about 510.4904125467.

Adding to 133034037 its reverse (730430331), we get a palindrome (863464368).

The spelling of 133034037 in words is "one hundred thirty-three million, thirty-four thousand, thirty-seven".

Divisors: 1 3 131 167 393 501 2027 6081 21877 65631 265537 338509 796611 1015527 44344679 133034037