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33142681 = 11132271021
BaseRepresentation
bin111111001101…
…1011110011001
32022100211012201
41332123132121
531441031211
63142210201
7551464615
oct176333631
968324181
1033142681
1117787650
12b123961
136b35570
14458a345
152d9a0c1
hex1f9b799

33142681 has 16 divisors (see below), whose sum is σ = 39146688. Its totient is φ = 27662400.

The previous prime is 33142663. The next prime is 33142691. The reversal of 33142681 is 18624133.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33142681 is a prime.

It is a super-2 number, since 2×331426812 = 2196874607735522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33142651) 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, 31951 + ... + 32971.

It is an arithmetic number, because the mean of its divisors is an integer number (2446668).

Almost surely, 233142681 is an apocalyptic number.

It is an amenable number.

33142681 is a deficient number, since it is larger than the sum of its proper divisors (6004007).

33142681 is a wasteful number, since it uses less digits than its factorization.

33142681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272.

The product of its digits is 3456, while the sum is 28.

The square root of 33142681 is about 5756.9680388204. The cubic root of 33142681 is about 321.2150453270.

It can be divided in two parts, 3314 and 2681, that added together give a palindrome (5995).

The spelling of 33142681 in words is "thirty-three million, one hundred forty-two thousand, six hundred eighty-one".

Divisors: 1 11 13 143 227 1021 2497 2951 11231 13273 32461 146003 231767 2549437 3012971 33142681