Search a number
-
+
20032123200011 = 13316710716741519
BaseRepresentation
bin1001000111000000101111…
…00101100110001000001011
32121221001102002221010220022
410203200113211212020023
510111201242014400021
6110334344053451055
74135162454512136
oct443402745461013
977831362833808
1020032123200011
11642363734571a
1222b6439640a8b
13b240374ca7b0
144d37ba67121d
1524b1350ab1ab
hex12381796620b

20032123200011 has 64 divisors (see below), whose sum is σ = 22949715640320. Its totient is φ = 17357885297280.

The previous prime is 20032123200007. The next prime is 20032123200059. The reversal of 20032123200011 is 11000232123002.

It is a cyclic number.

It is not a de Polignac number, because 20032123200011 - 22 = 20032123200007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20032123200511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 482460110 + ... + 482501628.

It is an arithmetic number, because the mean of its divisors is an integer number (358589306880).

Almost surely, 220032123200011 is an apocalyptic number.

20032123200011 is a deficient number, since it is larger than the sum of its proper divisors (2917592440309).

20032123200011 is a wasteful number, since it uses less digits than its factorization.

20032123200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41904.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 20032123200011 its reverse (11000232123002), we get a palindrome (31032355323013).

The spelling of 20032123200011 in words is "twenty trillion, thirty-two billion, one hundred twenty-three million, two hundred thousand, eleven".

Divisors: 1 13 31 67 107 167 403 871 1391 2077 2171 3317 5177 7169 11189 17869 27001 41519 43121 67301 93197 145457 222239 232297 346859 539747 553939 1197223 1287089 2781773 2889107 4442533 4509167 6933673 7201207 15563899 16732157 36163049 37113913 57752929 86234963 90137749 137718523 214943863 297649711 464556091 482480869 741903011 1121054519 1790340799 2794270219 3869446243 6039229183 9227141041 9644739143 14401238821 22998993341 49707501737 119952833533 187216104673 298986913433 646197522581 1540932553847 20032123200011