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83334031 = 1121514561
BaseRepresentation
bin1001111011110…
…01001110001111
312210210210210121
410331321032033
5132313142111
612134045411
72031220234
oct475711617
9183723717
1083334031
1143049100
1223aa9867
1314359aa1
14b0d378b
1574b1871
hex4f7938f

83334031 has 12 divisors (see below), whose sum is σ = 92225392. Its totient is φ = 75240000.

The previous prime is 83334011. The next prime is 83334047. The reversal of 83334031 is 13043338.

It is not a de Polignac number, because 83334031 - 27 = 83333903 is a prime.

It is a super-2 number, since 2×833340312 = 13889121445417922, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83333987 and 83334005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83334011) 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 11 ways as a sum of consecutive naturals, for example, 15991 + ... + 20551.

Almost surely, 283334031 is an apocalyptic number.

83334031 is the 4083-rd centered decagonal number.

83334031 is a deficient number, since it is larger than the sum of its proper divisors (8891361).

83334031 is a wasteful number, since it uses less digits than its factorization.

83334031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 83334031 is about 9128.7475044499. The cubic root of 83334031 is about 436.7914513007.

Adding to 83334031 its reverse (13043338), we get a palindrome (96377369).

The spelling of 83334031 in words is "eighty-three million, three hundred thirty-four thousand, thirty-one".

Divisors: 1 11 121 151 1661 4561 18271 50171 551881 688711 7575821 83334031