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16202101345 = 51710117310909
BaseRepresentation
bin11110001011011100…
…00111001001100001
31112211011010000201121
433011232013021201
5231140214220340
611235415132241
71112334406033
oct170556071141
945734100647
1016202101345
116964733601
123182074081
1316b28c7b21
14ad9b3dc53
1564c61794a
hex3c5b87261

16202101345 has 32 divisors (see below), whose sum is σ = 20912113440. Its totient is φ = 12007526400.

The previous prime is 16202101343. The next prime is 16202101351. The reversal of 16202101345 is 54310120261.

It is a happy number.

16202101345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 97476129 + 16104625216 = 9873^2 + 126904^2 .

It is not a de Polignac number, because 16202101345 - 21 = 16202101343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16202101343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1479751 + ... + 1490659.

It is an arithmetic number, because the mean of its divisors is an integer number (653503545).

Almost surely, 216202101345 is an apocalyptic number.

It is an amenable number.

16202101345 is a deficient number, since it is larger than the sum of its proper divisors (4710012095).

16202101345 is a wasteful number, since it uses less digits than its factorization.

16202101345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11205.

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 16202101345 in words is "sixteen billion, two hundred two million, one hundred one thousand, three hundred forty-five".

Divisors: 1 5 17 85 101 173 505 865 1717 2941 8585 10909 14705 17473 54545 87365 185453 297041 927265 1101809 1485205 1887257 5509045 9436285 18730753 32083369 93653765 160416845 190612957 953064785 3240420269 16202101345