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312201312323112 = 23324336129337821
BaseRepresentation
bin100011011111100100000100…
…0010100011100011000101000
31111221102011011020200022000200
41012333020020110130120220
5311410101241423314422
63023555145232032200
7122521541363143362
oct10677101024343050
91457364136608020
10312201312323112
119052791880a283
122b022857992660
13105285c3c74904
1457148a4903d32
15261611502a2ac
hex11bf20851c628

312201312323112 has 24 divisors (see below), whose sum is σ = 845545220875290. Its totient is φ = 104067104107680.

The previous prime is 312201312323053. The next prime is 312201312323113. The reversal of 312201312323112 is 211323213102213.

312201312323112 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 0 + 1 + 312 + 32 + 311 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 239329377635076 + 72871934688036 = 15470274^2 + 8536506^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (312201312323113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2168064668839 + ... + 2168064668982.

Almost surely, 2312201312323112 is an apocalyptic number.

It is an amenable number.

312201312323112 is an abundant number, since it is smaller than the sum of its proper divisors (533343908552178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312201312323112 is a wasteful number, since it uses less digits than its factorization.

312201312323112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4336129337833 (or 4336129337826 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 312201312323112 its reverse (211323213102213), we get a palindrome (523524525425325).

The spelling of 312201312323112 in words is "three hundred twelve trillion, two hundred one billion, three hundred twelve million, three hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4336129337821 8672258675642 13008388013463 17344517351284 26016776026926 34689034702568 39025164040389 52033552053852 78050328080778 104067104107704 156100656161556 312201312323112