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12332135465101 = 74771778992717
BaseRepresentation
bin1011001101110100110010…
…0011011100000010001101
31121122221101201112220022201
42303131030203130002031
53104022203134340401
642121145501441501
72411652545620444
oct263351443340215
947587351486281
1012332135465101
113a25035a76721
121472073270291
136b5bb913aaaa
14308c42a07d5b
15165bc1928b01
hexb374c8dc08d

12332135465101 has 8 divisors (see below), whose sum is σ = 12334611179160. Its totient is φ = 12329659987008.

The previous prime is 12332135465087. The next prime is 12332135465107. The reversal of 12332135465101 is 10156453123321.

It can be written as a sum of positive squares in 4 ways, for example, as 11029877907876 + 1302257557225 = 3321126^2 + 1141165^2 .

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 12332135465101 - 221 = 12332133367949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12332135465107) 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, 132961995 + ... + 133054711.

It is an arithmetic number, because the mean of its divisors is an integer number (1541826397395).

Almost surely, 212332135465101 is an apocalyptic number.

It is an amenable number.

12332135465101 is a deficient number, since it is larger than the sum of its proper divisors (2475714059).

12332135465101 is an equidigital number, since it uses as much as digits as its factorization.

12332135465101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117983.

The product of its (nonzero) digits is 64800, while the sum is 37.

Adding to 12332135465101 its reverse (10156453123321), we get a palindrome (22488588588422).

The spelling of 12332135465101 in words is "twelve trillion, three hundred thirty-two billion, one hundred thirty-five million, four hundred sixty-five thousand, one hundred one".

Divisors: 1 7477 17789 92717 133008353 693245009 1649342713 12332135465101