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83030931 = 32191134297
BaseRepresentation
bin1001111001011…
…11001110010011
312210020102000200
410330233032103
5132223442211
612123350243
72025515454
oct474571623
9183212020
1083030931
1142961405
1223982383
1314281b39
14b05512b
157451b56
hex4f2f393

83030931 has 24 divisors (see below), whose sum is σ = 127392720. Its totient is φ = 51964416.

The previous prime is 83030921. The next prime is 83030951. The reversal of 83030931 is 13903038.

It is not a de Polignac number, because 83030931 - 210 = 83029907 is a prime.

It is a super-3 number, since 3×830309313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 83030895 and 83030904.

It is not an unprimeable number, because it can be changed into a prime (83030921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17175 + ... + 21471.

It is an arithmetic number, because the mean of its divisors is an integer number (5308030).

Almost surely, 283030931 is an apocalyptic number.

83030931 is a deficient number, since it is larger than the sum of its proper divisors (44361789).

83030931 is a wasteful number, since it uses less digits than its factorization.

83030931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4435 (or 4432 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 83030931 is about 9112.1309801824. The cubic root of 83030931 is about 436.2612464431.

Adding to 83030931 its reverse (13903038), we get a palindrome (96933969).

The spelling of 83030931 in words is "eighty-three million, thirty thousand, nine hundred thirty-one".

Divisors: 1 3 9 19 57 113 171 339 1017 2147 4297 6441 12891 19323 38673 81643 244929 485561 734787 1456683 4370049 9225659 27676977 83030931