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131404043013111 = 33111951226774913
BaseRepresentation
bin11101111000001011100011…
…010011100100101111110111
3122020021002210200122102121000
4131320023203103210233313
5114210410440002404421
61143250103424254343
736451425453332661
oct3570134323445767
9566232720572530
10131404043013111
1138962161648070
12128a2b981713b3
13584246a9908bb
142463dbd717531
15102d1c2628226
hex7782e34e4bf7

131404043013111 has 32 divisors (see below), whose sum is σ = 212479023421440. Its totient is φ = 79597994112000.

The previous prime is 131404043013109. The next prime is 131404043013253. The reversal of 131404043013111 is 111310340404131.

131404043013111 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 40 + 4 + 301 + 311 + 1 = 666.

It is not a de Polignac number, because 131404043013111 - 21 = 131404043013109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131404043015111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112808010 + ... + 113966903.

It is an arithmetic number, because the mean of its divisors is an integer number (6639969481920).

Almost surely, 2131404043013111 is an apocalyptic number.

131404043013111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131404043013111 is a deficient number, since it is larger than the sum of its proper divisors (81074980408329).

131404043013111 is a wasteful number, since it uses less digits than its factorization.

131404043013111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226776884 (or 226776878 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131404043013111 its reverse (111310340404131), we get a palindrome (242714383417242).

The spelling of 131404043013111 in words is "one hundred thirty-one trillion, four hundred four billion, forty-three million, thirteen thousand, one hundred eleven".

Divisors: 1 3 9 11 27 33 99 297 1951 5853 17559 21461 52677 64383 193149 579447 226774913 680324739 2040974217 2494524043 6122922651 7483572129 22450716387 67352149161 442437855263 1327313565789 3981940697367 4866816407893 11945822092101 14600449223679 43801347671037 131404043013111