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83129981 = 1123476991
BaseRepresentation
bin1001111010001…
…11011001111101
312210102102220012
410331013121331
5132240124411
612125433005
72026410314
oct475073175
9183372805
1083129981
1142a19870
1223a0b765
13142b7c4c
14b07d27b
15747118b
hex4f4767d

83129981 has 16 divisors (see below), whose sum is σ = 96657408. Its totient is φ = 70738800.

The previous prime is 83129957. The next prime is 83129993. The reversal of 83129981 is 18992138.

It is not a de Polignac number, because 83129981 - 210 = 83128957 is a prime.

It is a super-2 number, since 2×831299812 = 13821187482120722, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83129911) 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, 8396 + ... + 15386.

It is an arithmetic number, because the mean of its divisors is an integer number (6041088).

Almost surely, 283129981 is an apocalyptic number.

It is an amenable number.

83129981 is a deficient number, since it is larger than the sum of its proper divisors (13527427).

83129981 is a wasteful number, since it uses less digits than its factorization.

83129981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7072.

The product of its digits is 31104, while the sum is 41.

The square root of 83129981 is about 9117.5644225857. The cubic root of 83129981 is about 436.4346537284.

The spelling of 83129981 in words is "eighty-three million, one hundred twenty-nine thousand, nine hundred eighty-one".

Divisors: 1 11 23 47 253 517 1081 6991 11891 76901 160793 328577 1768723 3614347 7557271 83129981