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102240110041 = 971277825389
BaseRepresentation
bin101111100110111111…
…1000100010111011001
3100202220021210201112021
41133031333010113121
53133341432010131
6114545104214441
710246414411366
oct1371577042731
9322807721467
10102240110041
113a3a5970a13
121799400a421
139844945a44
144d3c77d46d
1529d5c2ae11
hex17cdfc45d9

102240110041 has 8 divisors (see below), whose sum is σ = 103375145160. Its totient is φ = 101106728448.

The previous prime is 102240109991. The next prime is 102240110053. The reversal of 102240110041 is 140011042201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18127929600 + 84112180441 = 134640^2 + 290021^2 .

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 102240110041 - 27 = 102240109913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102240109997 and 102240110024.

It is not an unprimeable number, because it can be changed into a prime (102240111041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288826 + ... + 536563.

It is an arithmetic number, because the mean of its divisors is an integer number (12921893145).

Almost surely, 2102240110041 is an apocalyptic number.

It is an amenable number.

102240110041 is a deficient number, since it is larger than the sum of its proper divisors (1135035119).

102240110041 is an equidigital number, since it uses as much as digits as its factorization.

102240110041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826763.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102240110041 its reverse (140011042201), we get a palindrome (242251152242).

The spelling of 102240110041 in words is "one hundred two billion, two hundred forty million, one hundred ten thousand, forty-one".

Divisors: 1 97 1277 123869 825389 80062733 1054021753 102240110041