Search a number
-
+
10000121322323 = 112307311986311
BaseRepresentation
bin1001000110000101010110…
…1011011101101101010011
31022102000001122112001202202
42101201111223131231103
52302320222024303243
633133554201233415
72051325220513556
oct221412553355523
938360048461682
1010000121322323
113206033869300
12115611049286b
13577013326292
142680192b069d
151251d590a4b8
hex91855addb53

10000121322323 has 24 divisors (see below), whose sum is σ = 11031336476160. Its totient is φ = 9058396762800.

The previous prime is 10000121322313. The next prime is 10000121322329. The reversal of 10000121322323 is 32322312100001.

It is not a de Polignac number, because 10000121322323 - 210 = 10000121321299 is a prime.

It is a super-2 number, since 2×100001213223232 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10000121322295 and 10000121322304.

It is not an unprimeable number, because it can be changed into a prime (10000121322329) 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 23 ways as a sum of consecutive naturals, for example, 115818338 + ... + 115904648.

It is an arithmetic number, because the mean of its divisors is an integer number (459639019840).

Almost surely, 210000121322323 is an apocalyptic number.

10000121322323 is a deficient number, since it is larger than the sum of its proper divisors (1031215153837).

10000121322323 is a wasteful number, since it uses less digits than its factorization.

10000121322323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89759 (or 89748 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10000121322323 its reverse (32322312100001), we get a palindrome (42322433422324).

The spelling of 10000121322323 in words is "ten trillion, one hundred twenty-one million, three hundred twenty-two thousand, three hundred twenty-three".

Divisors: 1 11 121 307 3119 3377 34309 37147 86311 377399 949421 957533 10443631 10532863 26497477 115861493 269204009 291472247 2961244099 3206194717 32573685089 82645630763 909101938393 10000121322323