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13331243011401 = 337371906369657
BaseRepresentation
bin1100000111111110110000…
…0000010000110101001001
31202012110021020122222111000
43001333230000100311021
53221404341202331101
644204142151525213
72544102425630610
oct301775400206511
952173236588430
1013331243011401
11427a826153977
1215b3826389809
13759191552a03
143413426da877
15181b99b54486
hexc1fec010d49

13331243011401 has 32 divisors (see below), whose sum is σ = 23181455041280. Its totient is φ = 7411965222528.

The previous prime is 13331243011397. The next prime is 13331243011447. The reversal of 13331243011401 is 10411034213331.

13331243011401 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 1 + 243 + 0 + 11 + 401 = 666.

It is not a de Polignac number, because 13331243011401 - 22 = 13331243011397 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13331243011481) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 953177836 + ... + 953191821.

It is an arithmetic number, because the mean of its divisors is an integer number (724420470040).

Almost surely, 213331243011401 is an apocalyptic number.

It is an amenable number.

13331243011401 is a deficient number, since it is larger than the sum of its proper divisors (9850212029879).

13331243011401 is a wasteful number, since it uses less digits than its factorization.

13331243011401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906369710 (or 1906369704 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13331243011401 its reverse (10411034213331), we get a palindrome (23742277224732).

The spelling of 13331243011401 in words is "thirteen trillion, three hundred thirty-one billion, two hundred forty-three million, eleven thousand, four hundred one".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 333 777 999 2331 6993 1906369657 5719108971 13344587599 17157326913 40033762797 51471980739 70535677309 120101288391 211607031927 360303865173 493749741163 634821095781 1481249223489 1904463287343 4443747670467 13331243011401