Search a number
-
+
12334820112101 = 173121916775839
BaseRepresentation
bin1011001101111110110010…
…0100100011011011100101
31121200012022211012002200002
42303133230210203123211
53104043202422041401
642122312123031045
72412106225010564
oct263375444433345
947605284162602
1012334820112101
113a26193426753
1214726a236b485
136b62263aa306
143090193a1bdb
15165ccc479a6b
hexb37ec9236e5

12334820112101 has 48 divisors (see below), whose sum is σ = 13588312412160. Its totient is φ = 11157510873600.

The previous prime is 12334820112077. The next prime is 12334820112113. The reversal of 12334820112101 is 10121102843321.

It is not a de Polignac number, because 12334820112101 - 222 = 12334815917797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12334820112151) 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, 2112485540 + ... + 2112491378.

It is an arithmetic number, because the mean of its divisors is an integer number (283089841920).

Almost surely, 212334820112101 is an apocalyptic number.

It is an amenable number.

12334820112101 is a deficient number, since it is larger than the sum of its proper divisors (1253492300059).

12334820112101 is a wasteful number, since it uses less digits than its factorization.

12334820112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6786 (or 6755 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

Adding to 12334820112101 its reverse (10121102843321), we get a palindrome (22455922955422).

The spelling of 12334820112101 in words is "twelve trillion, three hundred thirty-four billion, eight hundred twenty million, one hundred twelve thousand, one hundred one".

Divisors: 1 17 31 191 527 677 961 3247 5839 5921 11509 16337 20987 99263 100657 129307 181009 183551 356779 650597 1115249 2198219 3077153 3120367 3953003 4008517 5611279 11060149 18959233 34572719 67201051 68144789 95391743 122543093 124264027 587736223 755023573 1071754289 2083232581 2112488459 3798835883 12835400741 18219822913 23405730763 64580210011 397897422971 725577653653 12334820112101