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12114001331 = 79577265757
BaseRepresentation
bin10110100100000110…
…01111110110110011
31011021020122000202222
423102003033312303
5144302141020311
65322021031255
7606124212065
oct132203176663
934236560688
1012114001331
115157046553
122420b5552b
1311b096b233
1482cc15735
154ad78dadb
hex2d20cfdb3

12114001331 has 8 divisors (see below), whose sum is σ = 12288649920. Its totient is φ = 11939885568.

The previous prime is 12114001303. The next prime is 12114001337. The reversal of 12114001331 is 13310041121.

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

It is not a de Polignac number, because 12114001331 - 214 = 12113984947 is a prime.

It is a super-3 number, since 3×121140013313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12114001337) 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 7 ways as a sum of consecutive naturals, for example, 87296 + ... + 178461.

It is an arithmetic number, because the mean of its divisors is an integer number (1536081240).

Almost surely, 212114001331 is an apocalyptic number.

12114001331 is a deficient number, since it is larger than the sum of its proper divisors (174648589).

12114001331 is an equidigital number, since it uses as much as digits as its factorization.

12114001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266413.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12114001331 its reverse (13310041121), we get a palindrome (25424042452).

The spelling of 12114001331 in words is "twelve billion, one hundred fourteen million, one thousand, three hundred thirty-one".

Divisors: 1 79 577 45583 265757 20994803 153341789 12114001331