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12201131457341 = 536146752115511
BaseRepresentation
bin1011000110001100110000…
…0110110011101100111101
31121012102020211101202222022
42301203030012303230331
53044400404123113331
641541042235125525
72366334261130661
oct261431406635475
947172224352868
1012201131457341
11398451a696712
1214507b22a38a5
136a673c254b38
1430277606a8a1
151625a589167b
hexb18cc1b3b3d

12201131457341 has 32 divisors (see below), whose sum is σ = 12687311460096. Its totient is φ = 11726155584000.

The previous prime is 12201131457331. The next prime is 12201131457367. The reversal of 12201131457341 is 14375413110221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12201131457341 is a prime.

It is a super-2 number, since 2×122011314573412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201131457331) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 786603776 + ... + 786619286.

It is an arithmetic number, because the mean of its divisors is an integer number (396478483128).

Almost surely, 212201131457341 is an apocalyptic number.

It is an amenable number.

12201131457341 is a deficient number, since it is larger than the sum of its proper divisors (486180002755).

12201131457341 is a wasteful number, since it uses less digits than its factorization.

12201131457341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16613.

The product of its (nonzero) digits is 20160, while the sum is 35.

Adding to 12201131457341 its reverse (14375413110221), we get a palindrome (26576544567562).

The spelling of 12201131457341 in words is "twelve trillion, two hundred one billion, one hundred thirty-one million, four hundred fifty-seven thousand, three hundred forty-one".

Divisors: 1 53 61 467 521 3233 15511 24751 27613 28487 31781 243307 822083 946171 1509811 1684393 7243637 8081231 12895271 14841727 50147063 383912761 428305243 441861857 492955091 786611531 3773934877 23418678421 26126619823 200018548481 230210027497 12201131457341