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12114313000 = 235312114313
BaseRepresentation
bin10110100100001000…
…11011111100101000
31011021021012212022021
423102010123330220
5144302231004000
65322031434224
7606126650536
oct132204337450
934237185267
1012114313000
115157239729
122421085974
1311b0a4a05a
1482cc97156
154ad80111a
hex2d211bf28

12114313000 has 32 divisors (see below), whose sum is σ = 28347494760. Its totient is φ = 4845724800.

The previous prime is 12114312949. The next prime is 12114313007. The reversal of 12114313000 is 31341121.

It can be written as a sum of positive squares in 4 ways, for example, as 5758077924 + 6356235076 = 75882^2 + 79726^2 .

It is a super-3 number, since 3×121143130003 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12114313007) 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, 6056157 + ... + 6058156.

Almost surely, 212114313000 is an apocalyptic number.

12114313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12114313000 is an abundant number, since it is smaller than the sum of its proper divisors (16233181760).

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

12114313000 is a wasteful number, since it uses less digits than its factorization.

12114313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12114334 (or 12114320 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12114313000 its reverse (31341121), we get a palindrome (12145654121).

The spelling of 12114313000 in words is "twelve billion, one hundred fourteen million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12114313 24228626 48457252 60571565 96914504 121143130 242286260 302857825 484572520 605715650 1211431300 1514289125 2422862600 3028578250 6057156500 12114313000