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12330113201101 = 101362129195913
BaseRepresentation
bin1011001101101101010000…
…0001000111001111001101
31121122202011210022020122001
42303123110001013033031
53104004032434413401
642120213101352301
72411551461640153
oct263332401071715
947582153266561
1012330113201101
113a24198502863
1214717a9b68691
136b5956199987
14308ad01d53d3
15165b04119601
hexb36d40473cd

12330113201101 has 8 divisors (see below), whose sum is σ = 12342546735480. Its totient is φ = 12317680184832.

The previous prime is 12330113201099. The next prime is 12330113201137. The reversal of 12330113201101 is 10110231103321.

12330113201101 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 4 ways, for example, as 511438092201 + 11818675108900 = 715149^2 + 3437830^2 .

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 12330113201101 - 21 = 12330113201099 is a prime.

It is a super-2 number, since 2×123301132011012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330113201191) 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, 62838721 + ... + 63034633.

It is an arithmetic number, because the mean of its divisors is an integer number (1542818341935).

Almost surely, 212330113201101 is an apocalyptic number.

It is an amenable number.

12330113201101 is a deficient number, since it is larger than the sum of its proper divisors (12433534379).

12330113201101 is a wasteful number, since it uses less digits than its factorization.

12330113201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259055.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 12330113201101 its reverse (10110231103321), we get a palindrome (22440344304422).

The spelling of 12330113201101 in words is "twelve trillion, three hundred thirty billion, one hundred thirteen million, two hundred one thousand, one hundred one".

Divisors: 1 1013 62129 195913 62936677 198459869 12171878777 12330113201101