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83133401 = 1329220513
BaseRepresentation
bin1001111010010…
…00001111011001
312210102121120212
410331020033121
5132240232101
612125500505
72026423301
oct475101731
9183377525
1083133401
1142a2139a
1223a11735
13142b9680
14b080601
1574721bb
hex4f483d9

83133401 has 8 divisors (see below), whose sum is σ = 92615880. Its totient is φ = 74092032.

The previous prime is 83133397. The next prime is 83133433. The reversal of 83133401 is 10433138.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10883401 + 72250000 = 3299^2 + 8500^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 83133401 - 22 = 83133397 is a prime.

It is a super-2 number, since 2×831334012 = 13822324723653602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83133601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109880 + ... + 110633.

It is an arithmetic number, because the mean of its divisors is an integer number (11576985).

Almost surely, 283133401 is an apocalyptic number.

It is an amenable number.

83133401 is a deficient number, since it is larger than the sum of its proper divisors (9482479).

83133401 is a wasteful number, since it uses less digits than its factorization.

83133401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220555.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 83133401 is about 9117.7519707437. The cubic root of 83133401 is about 436.4406386772.

Adding to 83133401 its reverse (10433138), we get a palindrome (93566539).

The spelling of 83133401 in words is "eighty-three million, one hundred thirty-three thousand, four hundred one".

Divisors: 1 13 29 377 220513 2866669 6394877 83133401