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12114241000 = 235312114241
BaseRepresentation
bin10110100100001000…
…01010010111101000
31011021021002012112121
423102010022113220
5144302221203000
65322030121024
7606126230611
oct132204122750
934237065477
1012114241000
11515719a624
122421050174
1311b0a23354
1482cc78c08
154ad7d9b1a
hex2d210a5e8

12114241000 has 32 divisors (see below), whose sum is σ = 28347326280. Its totient is φ = 4845696000.

The previous prime is 12114240979. The next prime is 12114241031. The reversal of 12114241000 is 14241121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4730963524 + 7383277476 = 68782^2 + 85926^2 .

It is a super-3 number, since 3×121142410003 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6056121 + ... + 6058120.

Almost surely, 212114241000 is an apocalyptic number.

12114241000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12114241000 is an abundant number, since it is smaller than the sum of its proper divisors (16233085280).

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

12114241000 is a wasteful number, since it uses less digits than its factorization.

12114241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12114262 (or 12114248 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12114241000 its reverse (14241121), we get a palindrome (12128482121).

The spelling of 12114241000 in words is "twelve billion, one hundred fourteen million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12114241 24228482 48456964 60571205 96913928 121142410 242284820 302856025 484569640 605712050 1211424100 1514280125 2422848200 3028560250 6057120500 12114241000