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12141313401 = 373122812141
BaseRepresentation
bin10110100111010110…
…11011110101111001
31011100011000121220010
423103223123311321
5144331134012101
65324434252133
7606605314110
oct132353336571
934304017803
1012141313401
115170500508
12242a127049
1311b6511919
148326c4c77
154b0d862d6
hex2d3adbd79

12141313401 has 48 divisors (see below), whose sum is σ = 19194102144. Its totient is φ = 6687072000.

The previous prime is 12141313397. The next prime is 12141313427. The reversal of 12141313401 is 10431314121.

It is not a de Polignac number, because 12141313401 - 22 = 12141313397 is a prime.

It is a super-2 number, since 2×121413134012 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12141313901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5669791 + ... + 5671931.

It is an arithmetic number, because the mean of its divisors is an integer number (399877128).

Almost surely, 212141313401 is an apocalyptic number.

It is an amenable number.

12141313401 is a deficient number, since it is larger than the sum of its proper divisors (7052788743).

12141313401 is a wasteful number, since it uses less digits than its factorization.

12141313401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12141313401 its reverse (10431314121), we get a palindrome (22572627522).

The spelling of 12141313401 in words is "twelve billion, one hundred forty-one million, three hundred thirteen thousand, four hundred one".

Divisors: 1 3 7 21 31 93 217 281 651 843 961 1967 2141 2883 5901 6423 6727 8711 14987 20181 26133 44961 60977 66371 182931 199113 270041 464597 601621 810123 1393791 1804863 1890287 2057501 4211347 5670861 6172503 12634041 14402507 18650251 43207521 55950753 130551757 391655271 578157781 1734473343 4047104467 12141313401