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12201000414 = 2314891136559
BaseRepresentation
bin10110101110011110…
…00111110111011110
31011111022100001002020
423113033013313132
5144441424003124
65334405441010
7611231535531
oct132717076736
934438301066
1012201000414
1151a1168219
122446110166
1311c59ac295
1483a5c0a18
154b6226379
hex2d73c7dde

12201000414 has 16 divisors (see below), whose sum is σ = 24403818240. Its totient is φ = 4066697240.

The previous prime is 12201000401. The next prime is 12201000431. The reversal of 12201000414 is 41400010221.

It is a super-2 number, since 2×122010004142 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12201000393 and 12201000402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21067 + ... + 157625.

It is an arithmetic number, because the mean of its divisors is an integer number (1525238640).

Almost surely, 212201000414 is an apocalyptic number.

12201000414 is an abundant number, since it is smaller than the sum of its proper divisors (12202817826).

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

12201000414 is a wasteful number, since it uses less digits than its factorization.

12201000414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151455.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12201000414 its reverse (41400010221), we get a palindrome (53601010635).

The spelling of 12201000414 in words is "twelve billion, two hundred one million, four hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 14891 29782 44673 89346 136559 273118 409677 819354 2033500069 4067000138 6100500207 12201000414