Search a number
-
+
13000123331121 = 3233073547173021
BaseRepresentation
bin1011110100101101001110…
…1110111011001000110001
31201000210120221120101202210
42331023103232323020301
53200443223033043441
643352101344002333
72511141114035343
oct275132356731061
951023527511683
1013000123331121
114162359787243
12155b6170003a9
13733ba23aa604
1432d2d056b293
1517826a3e9616
hexbd2d3bbb231

13000123331121 has 32 divisors (see below), whose sum is σ = 18151264631808. Its totient is φ = 8260553378880.

The previous prime is 13000123331089. The next prime is 13000123331161. The reversal of 13000123331121 is 12113332100031.

It is a happy number.

It is not a de Polignac number, because 13000123331121 - 25 = 13000123331089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13000123331161) 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, 75049591 + ... + 75222611.

It is an arithmetic number, because the mean of its divisors is an integer number (567227019744).

Almost surely, 213000123331121 is an apocalyptic number.

It is an amenable number.

13000123331121 is a deficient number, since it is larger than the sum of its proper divisors (5151141300687).

13000123331121 is a wasteful number, since it uses less digits than its factorization.

13000123331121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176901.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13000123331121 its reverse (12113332100031), we get a palindrome (25113455431152).

The spelling of 13000123331121 in words is "thirteen trillion, one hundred twenty-three million, three hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 23 69 307 921 3547 7061 10641 21183 81581 173021 244743 519063 1088929 3266787 3979483 11938449 25045367 53117447 75136101 159352341 613705487 1221701281 1841116461 3665103843 14115226201 42345678603 188407584509 565222753527 4333374443707 13000123331121