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13334323101 = 311191011931091
BaseRepresentation
bin11000110101100100…
…11001111110011101
31021102021212210112120
430122302121332131
5204302041314401
610043052453153
7651302606361
oct143262317635
937367783476
1013334323101
115722972340
12270177a1b9
131346729418
14906d152a1
15530990836
hex31ac99f9d

13334323101 has 64 divisors (see below), whose sum is σ = 20744156160. Its totient is φ = 7534080000.

The previous prime is 13334323097. The next prime is 13334323103. The reversal of 13334323101 is 10132343331.

It is a happy number.

It is not a de Polignac number, because 13334323101 - 22 = 13334323097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13334323103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12221566 + ... + 12222656.

It is an arithmetic number, because the mean of its divisors is an integer number (324127440).

Almost surely, 213334323101 is an apocalyptic number.

13334323101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13334323101 is a deficient number, since it is larger than the sum of its proper divisors (7409833059).

13334323101 is a wasteful number, since it uses less digits than its factorization.

13334323101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13334323101 its reverse (10132343331), we get a palindrome (23466666432).

The spelling of 13334323101 in words is "thirteen billion, three hundred thirty-four million, three hundred twenty-three thousand, one hundred one".

Divisors: 1 3 11 19 33 57 101 193 209 303 579 627 1091 1111 1919 2123 3273 3333 3667 5757 6369 11001 12001 19493 20729 21109 36003 40337 58479 62187 63327 110191 121011 210563 214423 228019 330573 370367 631689 643269 684057 1111101 1212101 2093629 2316193 3636303 4000697 4074037 6280887 6948579 12002091 12222111 21266863 23029919 44007667 63800589 69089757 132023001 233935493 404070397 701806479 1212211191 4444774367 13334323101