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12312301313301 = 311386779646561
BaseRepresentation
bin1011001100101010111001…
…0110001001110100010101
31121121001012110002121000220
42303022232112021310111
53103211043114011201
642104105415024553
72410351206251133
oct263125626116425
947531173077026
1012312301313301
113a17688123930
12146a25896b159
136b4077c207b2
14307cc0774753
1516541051d036
hexb32ae589d15

12312301313301 has 16 divisors (see below), whose sum is σ = 17909266801728. Its totient is φ = 7461807091200.

The previous prime is 12312301313287. The next prime is 12312301313321. The reversal of 12312301313301 is 10331310321321.

12312301313301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12312301313301 - 210 = 12312301312277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12312301313321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3546940 + ... + 6099621.

It is an arithmetic number, because the mean of its divisors is an integer number (1119329175108).

Almost surely, 212312301313301 is an apocalyptic number.

12312301313301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12312301313301 is a deficient number, since it is larger than the sum of its proper divisors (5596965488427).

12312301313301 is a wasteful number, since it uses less digits than its factorization.

12312301313301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9685252.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 12312301313301 its reverse (10331310321321), we get a palindrome (22643611634622).

The spelling of 12312301313301 in words is "twelve trillion, three hundred twelve billion, three hundred one million, three hundred thirteen thousand, three hundred one".

Divisors: 1 3 11 33 38677 116031 425447 1276341 9646561 28939683 106112171 318336513 373100039797 1119300119391 4104100437767 12312301313301