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83200233001 = 175392342101
BaseRepresentation
bin100110101111100011…
…1101100111000101001
321221202100220202101011
41031133013230320221
52330343224424001
6102115513423521
76003531211654
oct1153707547051
9257670822334
1083200233001
11323153a9546
121415b70aba1
137acc155702
144053bc489b
15226e415d51
hex135f1ece29

83200233001 has 8 divisors (see below), whose sum is σ = 89756523144. Its totient is φ = 76828627200.

The previous prime is 83200232993. The next prime is 83200233013. The reversal of 83200233001 is 10033200238.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 55955429401 + 27244803600 = 236549^2 + 165060^2 .

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 83200233001 - 23 = 83200232993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83200233091) 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, 46170150 + ... + 46171951.

It is an arithmetic number, because the mean of its divisors is an integer number (11219565393).

Almost surely, 283200233001 is an apocalyptic number.

It is an amenable number.

83200233001 is a deficient number, since it is larger than the sum of its proper divisors (6556290143).

83200233001 is a wasteful number, since it uses less digits than its factorization.

83200233001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92342171.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 83200233001 its reverse (10033200238), we get a palindrome (93233433239).

The spelling of 83200233001 in words is "eighty-three billion, two hundred million, two hundred thirty-three thousand, one".

Divisors: 1 17 53 901 92342101 1569815717 4894131353 83200233001