Search a number
-
+
13112001111001 = 1325111533485159
BaseRepresentation
bin1011111011001110000000…
…1010110010001111011001
31201102111100220100110212211
42332303200022302033121
53204311334241023001
643515323053035121
72522211416341612
oct276634012621731
951374326313784
1013112001111001
1141a584a886151
12157923a785aa1
137415c192b270
143348a4cb2c09
1517b1172b1351
hexbece02b23d9

13112001111001 has 16 divisors (see below), whose sum is σ = 14189173729920. Its totient is φ = 12044706048000.

The previous prime is 13112001110993. The next prime is 13112001111023. The reversal of 13112001111001 is 10011110021131.

It is a cyclic number.

It is not a de Polignac number, because 13112001111001 - 23 = 13112001110993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13112001111091) 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 15 ways as a sum of consecutive naturals, for example, 2019660 + ... + 5504818.

It is an arithmetic number, because the mean of its divisors is an integer number (886823358120).

Almost surely, 213112001111001 is an apocalyptic number.

It is an amenable number.

13112001111001 is a deficient number, since it is larger than the sum of its proper divisors (1077172618919).

13112001111001 is a wasteful number, since it uses less digits than its factorization.

13112001111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486576.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 13112001111001 its reverse (10011110021131), we get a palindrome (23123111132132).

The spelling of 13112001111001 in words is "thirteen trillion, one hundred twelve billion, one million, one hundred eleven thousand, one".

Divisors: 1 13 251 1153 3263 14989 289403 3485159 3762239 45307067 874774909 4018388327 11372073817 52239048251 1008615470077 13112001111001