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102006546065 = 567330313981
BaseRepresentation
bin101111100000000010…
…0000101111010010001
3100202022000022102222122
41133000010011322101
53132402133433230
6114510002144025
710240550223014
oct1370004057221
9322260272878
10102006546065
113a296043936
1217929952015
1398084394c8
144d1974137b
1529c0491be5
hex17c0105e91

102006546065 has 8 divisors (see below), whose sum is σ = 122589743208. Its totient is φ = 81483978240.

The previous prime is 102006546043. The next prime is 102006546067. The reversal of 102006546065 is 560645600201.

It can be written as a sum of positive squares in 4 ways, for example, as 10444022416 + 91562523649 = 102196^2 + 302593^2 .

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

It is not a de Polignac number, because 102006546065 - 216 = 102006480529 is a prime.

It is a super-2 number, since 2×1020065460652 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102006546067) 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, 15153626 + ... + 15160355.

It is an arithmetic number, because the mean of its divisors is an integer number (15323717901).

Almost surely, 2102006546065 is an apocalyptic number.

It is an amenable number.

102006546065 is a deficient number, since it is larger than the sum of its proper divisors (20583197143).

102006546065 is an equidigital number, since it uses as much as digits as its factorization.

102006546065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30314659.

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 102006546065 in words is "one hundred two billion, six million, five hundred forty-six thousand, sixty-five".

Divisors: 1 5 673 3365 30313981 151569905 20401309213 102006546065