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12311012041131 = 338791105789247
BaseRepresentation
bin1011001100100110000101…
…1111111110000110101011
31121120220212121002210002210
42303021201133332012223
53103200423040304011
642103333441300203
72410304232521136
oct263114137760653
947526777083083
1012311012041131
113a17086393641
121469b59034663
136b3c00aa075b
14307bdb44721d
1516538724b6a6
hexb32617fe1ab

12311012041131 has 8 divisors (see below), whose sum is σ = 16415106033664. Its totient is φ = 8207129704680.

The previous prime is 12311012041123. The next prime is 12311012041151. The reversal of 12311012041131 is 13114021011321.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12311012041131 - 23 = 12311012041123 is a prime.

It is a super-3 number, since 3×123110120411313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12311012041098 and 12311012041107.

It is not an unprimeable number, because it can be changed into a prime (12311012041151) 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, 52778251 + ... + 53010996.

It is an arithmetic number, because the mean of its divisors is an integer number (2051888254208).

Almost surely, 212311012041131 is an apocalyptic number.

12311012041131 is a deficient number, since it is larger than the sum of its proper divisors (4104093992533).

12311012041131 is a wasteful number, since it uses less digits than its factorization.

12311012041131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105828041.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 12311012041131 its reverse (13114021011321), we get a palindrome (25425033052452).

The spelling of 12311012041131 in words is "twelve trillion, three hundred eleven billion, twelve million, forty-one thousand, one hundred thirty-one".

Divisors: 1 3 38791 116373 105789247 317367741 4103670680377 12311012041131