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13121112333 = 37624814873
BaseRepresentation
bin11000011100001010…
…00100100100001101
31020212102200120100110
430032011010210031
5203333001043313
610005554550233
7643103420550
oct141605044415
936772616313
1013121112333
11562358699a
122662298379
1313114c7cc4
148c6894697
1551bdc6ec3
hex30e14490d

13121112333 has 8 divisors (see below), whose sum is σ = 19994075968. Its totient is φ = 7497778464.

The previous prime is 13121112281. The next prime is 13121112337. The reversal of 13121112333 is 33321112131.

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 13121112333 - 26 = 13121112269 is a prime.

It is a super-3 number, since 3×131211123333 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 624814873 = 13121112333 / (1 + 3 + 1 + 2 + 1 + 1 + 1 + 2 + 3 + 3 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121112337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312407416 + ... + 312407457.

It is an arithmetic number, because the mean of its divisors is an integer number (2499259496).

Almost surely, 213121112333 is an apocalyptic number.

It is an amenable number.

13121112333 is a deficient number, since it is larger than the sum of its proper divisors (6872963635).

13121112333 is an equidigital number, since it uses as much as digits as its factorization.

13121112333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624814883.

The product of its digits is 324, while the sum is 21.

Adding to 13121112333 its reverse (33321112131), we get a palindrome (46442224464).

The spelling of 13121112333 in words is "thirteen billion, one hundred twenty-one million, one hundred twelve thousand, three hundred thirty-three".

Divisors: 1 3 7 21 624814873 1874444619 4373704111 13121112333