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12014010100 = 2252769156229
BaseRepresentation
bin10110011000001011…
…10011111011110100
31011000021110221121001
423030011303323310
5144101041310400
65304045533044
7603501254341
oct131405637364
934007427531
1012014010100
115105660674
1223b3574184
13119602b721
1481d8277c8
154a4adba6a
hex2cc173ef4

12014010100 has 36 divisors (see below), whose sum is σ = 26104470700. Its totient is φ = 4799324160.

The previous prime is 12014010091. The next prime is 12014010133. The reversal of 12014010100 is 101041021.

It can be written as a sum of positive squares in 6 ways, for example, as 2814514704 + 9199495396 = 53052^2 + 95914^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1215 + ... + 155014.

Almost surely, 212014010100 is an apocalyptic number.

12014010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12014010100 is an abundant number, since it is smaller than the sum of its proper divisors (14090460600).

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

12014010100 is a wasteful number, since it uses less digits than its factorization.

12014010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157012 (or 157005 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12014010100 its reverse (101041021), we get a palindrome (12115051121).

The spelling of 12014010100 in words is "twelve billion, fourteen million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 769 1538 3076 3845 7690 15380 19225 38450 76900 156229 312458 624916 781145 1562290 3124580 3905725 7811450 15622900 120140101 240280202 480560404 600700505 1201401010 2402802020 3003502525 6007005050 12014010100