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10083652321 = 298324117383
BaseRepresentation
bin10010110010000100…
…00101001011100001
3222000202011121112111
421121002011023201
5131122403333241
64344331355321
7504611426161
oct113102051341
928022147474
1010083652321
114304a60266
121b54bb2b41
13c491290a2
146b92da5a1
153e03d3c81
hex2590852e1

10083652321 has 16 divisors (see below), whose sum is σ = 10601458560. Its totient is φ = 9578177280.

The previous prime is 10083652273. The next prime is 10083652333. The reversal of 10083652321 is 12325638001.

It is a cyclic number.

It is not a de Polignac number, because 10083652321 - 211 = 10083650273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10083656321) 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, 571396 + ... + 588778.

It is an arithmetic number, because the mean of its divisors is an integer number (662591160).

Almost surely, 210083652321 is an apocalyptic number.

It is an amenable number.

10083652321 is a deficient number, since it is larger than the sum of its proper divisors (517806239).

10083652321 is a wasteful number, since it uses less digits than its factorization.

10083652321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17736.

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 10083652321 in words is "ten billion, eighty-three million, six hundred fifty-two thousand, three hundred twenty-one".

Divisors: 1 29 83 241 2407 6989 17383 20003 504107 580087 1442789 4189303 41840881 121489787 347712149 10083652321