Search a number
-
+
13123301121 = 3271919935501
BaseRepresentation
bin11000011100011010…
…11010111100000001
31020212120210202210200
430032031122330001
5203334031113441
610010113515413
7643131135060
oct141615327401
936776722720
1013123301121
115624841407
122662b72b69
131311ab3348
148c6ca41d7
1551c1aa7b6
hex30e35af01

13123301121 has 48 divisors (see below), whose sum is σ = 22819655040. Its totient is φ = 7099488000.

The previous prime is 13123301111. The next prime is 13123301201. The reversal of 13123301121 is 12110332131.

13123301121 is a `hidden beast` number, since 1 + 312 + 330 + 1 + 1 + 21 = 666.

It is not a de Polignac number, because 13123301121 - 221 = 13121203969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13123301094 and 13123301103.

It is not an unprimeable number, because it can be changed into a prime (13123301111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2382871 + ... + 2388371.

It is an arithmetic number, because the mean of its divisors is an integer number (475409480).

Almost surely, 213123301121 is an apocalyptic number.

It is an amenable number.

13123301121 is a deficient number, since it is larger than the sum of its proper divisors (9696353919).

13123301121 is a wasteful number, since it uses less digits than its factorization.

13123301121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7526 (or 7523 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13123301121 its reverse (12110332131), we get a palindrome (25233633252).

The spelling of 13123301121 in words is "thirteen billion, one hundred twenty-three million, three hundred one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 1993 5501 5979 13951 16503 17937 37867 38507 41853 49509 104519 113601 115521 125559 265069 313557 340803 346563 731633 795207 940671 2194899 2385621 6584697 10963493 32890479 76744451 98671437 208306367 230233353 624919101 690700059 1458144569 1874757303 4374433707 13123301121