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14112124100 = 2252265753113
BaseRepresentation
bin11010010010010010…
…11110110011000100
31100102111110011220222
431021021132303010
5212400200432400
610252155443512
71006466034644
oct151111366304
940374404828
1014112124100
115a91a20788
12289a156598
13143b908cb9
1497c342524
15578dd0185
hex34925ecc4

14112124100 has 36 divisors (see below), whose sum is σ = 30635411604. Its totient is φ = 5642618880.

The previous prime is 14112124093. The next prime is 14112124151. The reversal of 14112124100 is 142121141.

It can be written as a sum of positive squares in 6 ways, for example, as 57547396 + 14054576704 = 7586^2 + 118552^2 .

It is a super-2 number, since 2×141121241002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239144 + ... + 292256.

Almost surely, 214112124100 is an apocalyptic number.

14112124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14112124100 is an abundant number, since it is smaller than the sum of its proper divisors (16523287504).

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

14112124100 is a wasteful number, since it uses less digits than its factorization.

14112124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55784 (or 55777 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 14112124100 its reverse (142121141), we get a palindrome (14254245241).

The spelling of 14112124100 in words is "fourteen billion, one hundred twelve million, one hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2657 5314 10628 13285 26570 53113 53140 66425 106226 132850 212452 265565 265700 531130 1062260 1327825 2655650 5311300 141121241 282242482 564484964 705606205 1411212410 2822424820 3528031025 7056062050 14112124100