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12303013303331 = 3759211177715031
BaseRepresentation
bin1011001100001000010010…
…1111001101010000100011
31121120011020011001210121122
42303002010233031100203
53103033032401201311
642055532024442455
72406602065415642
oct263020457152043
947504204053548
1012303013303331
113a137512a8533
1214684a631942b
136b32278accca
1430767cdcb359
15165069e000db
hexb3084bcd423

12303013303331 has 32 divisors (see below), whose sum is σ = 12918712450560. Its totient is φ = 11704469414400.

The previous prime is 12303013303327. The next prime is 12303013303369. The reversal of 12303013303331 is 13330331030321.

It is a happy number.

It is not a de Polignac number, because 12303013303331 - 22 = 12303013303327 is a prime.

It is a super-2 number, since 2×123030133033312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12303013303331.

It is not an unprimeable number, because it can be changed into a prime (12303013303831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 818501786 + ... + 818516816.

It is an arithmetic number, because the mean of its divisors is an integer number (403709764080).

Almost surely, 212303013303331 is an apocalyptic number.

12303013303331 is a deficient number, since it is larger than the sum of its proper divisors (615699147229).

12303013303331 is a wasteful number, since it uses less digits than its factorization.

12303013303331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17115.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 12303013303331 its reverse (13330331030321), we get a palindrome (25633344333652).

The spelling of 12303013303331 in words is "twelve trillion, three hundred three billion, thirteen million, three hundred three thousand, three hundred thirty-one".

Divisors: 1 37 59 211 1777 2183 7807 12449 15031 65749 104843 374947 460613 556147 886829 3171541 3879191 13873039 22121873 26710087 32812673 117347017 187120919 818509301 988273219 1575895133 5635828357 6923474003 58308119921 208525649209 332513873063 12303013303331