Search a number
-
+
12102311001 = 3112961379547
BaseRepresentation
bin10110100010101101…
…01001110001011001
31011020102122002122210
423101112221301121
5144241142423001
65320522305333
7605622642354
oct132126516131
934212562583
1012102311001
115150491420
122419058249
1311ab407191
1482b45129b
154ac72edd6
hex2d15a9c59

12102311001 has 64 divisors (see below), whose sum is σ = 18591667200. Its totient is φ = 6934636800.

The previous prime is 12102310991. The next prime is 12102311027. The reversal of 12102311001 is 10011320121.

12102311001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12102311001 - 230 = 11028569177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12102361001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22124610 + ... + 22125156.

It is an arithmetic number, because the mean of its divisors is an integer number (290494800).

Almost surely, 212102311001 is an apocalyptic number.

12102311001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12102311001 is a deficient number, since it is larger than the sum of its proper divisors (6489356199).

12102311001 is a wasteful number, since it uses less digits than its factorization.

12102311001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 12102311001 its reverse (10011320121), we get a palindrome (22113631122).

The spelling of 12102311001 in words is "twelve billion, one hundred two million, three hundred eleven thousand, one".

Divisors: 1 3 11 29 33 61 87 183 319 379 547 671 957 1137 1641 1769 2013 4169 5307 6017 10991 12507 15863 18051 19459 23119 32973 33367 47589 58377 69357 100101 120901 174493 207313 254309 362703 367037 523479 621939 670451 762927 967643 1101111 2011353 2280443 2902929 6012077 6841329 7374961 10644073 12646093 18036231 22124883 31932219 37938279 66132847 139107023 198398541 366736697 417321069 1100210091 4034103667 12102311001