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83231001 = 32719312243
BaseRepresentation
bin1001111011000…
…00000100011001
312210121120110200
410331200010121
5132301343001
612131532413
72030310660
oct475400431
9183546420
1083231001
1142a88757
1223a5a109
1314321c19
14b0a7dd7
157491086
hex4f60119

83231001 has 48 divisors (see below), whose sum is σ = 149360640. Its totient is φ = 43584480.

The previous prime is 83230999. The next prime is 83231011. The reversal of 83231001 is 10013238.

It is not a de Polignac number, because 83231001 - 21 = 83230999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83231011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35986 + ... + 38228.

It is an arithmetic number, because the mean of its divisors is an integer number (3111680).

Almost surely, 283231001 is an apocalyptic number.

It is an amenable number.

83231001 is a deficient number, since it is larger than the sum of its proper divisors (66129639).

83231001 is a wasteful number, since it uses less digits than its factorization.

83231001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 83231001 is about 9123.1025972528. The cubic root of 83231001 is about 436.6113680791.

Adding to 83231001 its reverse (10013238), we get a palindrome (93244239).

The spelling of 83231001 in words is "eighty-three million, two hundred thirty-one thousand, one".

Divisors: 1 3 7 9 19 21 31 57 63 93 133 171 217 279 399 589 651 1197 1767 1953 2243 4123 5301 6729 12369 15701 20187 37107 42617 47103 69533 127851 141309 208599 298319 383553 486731 625797 894957 1321127 1460193 2684871 3963381 4380579 9247889 11890143 27743667 83231001