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83109511 = 2337611601
BaseRepresentation
bin1001111010000…
…10011010000111
312210101101211001
410331002122013
5132234001021
612125154131
72026263532
oct475023207
9183341731
1083109511
1142a05451
12239bb947
13142ab834
14b075a19
15746a091
hex4f42687

83109511 has 16 divisors (see below), whose sum is σ = 90583488. Its totient is φ = 76032000.

The previous prime is 83109493. The next prime is 83109517. The reversal of 83109511 is 11590138.

It is a 11-Lehmer number, since φ(83109511) divides (83109511-1)11.

It is a cyclic number.

It is not a de Polignac number, because 83109511 - 25 = 83109479 is a prime.

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 83109511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83109517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51111 + ... + 52711.

It is an arithmetic number, because the mean of its divisors is an integer number (5661468).

Almost surely, 283109511 is an apocalyptic number.

83109511 is a deficient number, since it is larger than the sum of its proper divisors (7473977).

83109511 is a wasteful number, since it uses less digits than its factorization.

83109511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722.

The product of its (nonzero) digits is 1080, while the sum is 28.

The square root of 83109511 is about 9116.4417949110. The cubic root of 83109511 is about 436.3988281027.

Adding to 83109511 its reverse (11590138), we get a palindrome (94699649).

The spelling of 83109511 in words is "eighty-three million, one hundred nine thousand, five hundred eleven".

Divisors: 1 23 37 61 851 1403 1601 2257 36823 51911 59237 97661 1362451 2246203 3613457 83109511