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83253131 = 1317449839
BaseRepresentation
bin1001111011001…
…01011110001011
312210122200211022
410331211132023
5132303100011
612132223055
72030432333
oct475453613
9183580738
1083253131
1142aa3345
1223a6aa8b
131432c010
14b0b20c3
1574978db
hex4f6578b

83253131 has 16 divisors (see below), whose sum is σ = 95256000. Its totient is φ = 72081408.

The previous prime is 83253103. The next prime is 83253139. The reversal of 83253131 is 13135238.

It is a cyclic number.

It is not a de Polignac number, because 83253131 - 210 = 83252107 is a prime.

It is a super-2 number, since 2×832531312 = 13862167642606322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83253131.

It is not an unprimeable number, because it can be changed into a prime (83253139) 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, 98810 + ... + 99648.

It is an arithmetic number, because the mean of its divisors is an integer number (5953500).

Almost surely, 283253131 is an apocalyptic number.

83253131 is a deficient number, since it is larger than the sum of its proper divisors (12002869).

83253131 is a wasteful number, since it uses less digits than its factorization.

83253131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318.

The product of its digits is 2160, while the sum is 26.

The square root of 83253131 is about 9124.3153715772. The cubic root of 83253131 is about 436.6500610070.

Adding to 83253131 its reverse (13135238), we get a palindrome (96388369).

The spelling of 83253131 in words is "eighty-three million, two hundred fifty-three thousand, one hundred thirty-one".

Divisors: 1 13 17 221 449 839 5837 7633 10907 14263 99229 185419 376711 4897243 6404087 83253131