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12001111101 = 327435877547
BaseRepresentation
bin10110010110101001…
…00110110000111101
31010222101012121111100
423023110212300331
5144034241023401
65302505243313
7603253522050
oct131324466075
933871177440
1012001111101
1150a9350441
1223ab193539
131193463495
1481bc2aa97
154a38deb86
hex2cb526c3d

12001111101 has 48 divisors (see below), whose sum is σ = 20309313024. Its totient is φ = 6685997472.

The previous prime is 12001111091. The next prime is 12001111141. The reversal of 12001111101 is 10111110021.

It is not a de Polignac number, because 12001111101 - 215 = 12001078333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001111141) 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, 1586410 + ... + 1593956.

It is an arithmetic number, because the mean of its divisors is an integer number (423110688).

Almost surely, 212001111101 is an apocalyptic number.

It is an amenable number.

12001111101 is a deficient number, since it is larger than the sum of its proper divisors (8308201923).

12001111101 is a wasteful number, since it uses less digits than its factorization.

12001111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8190 (or 8187 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 12001111101 its reverse (10111110021), we get a palindrome (22112221122).

The spelling of 12001111101 in words is "twelve billion, one million, one hundred eleven thousand, one hundred one".

Divisors: 1 3 7 9 21 43 63 129 301 387 587 903 1761 2709 4109 5283 7547 12327 22641 25241 36981 52829 67923 75723 158487 176687 227169 324521 475461 530061 973563 1590183 2271647 2920689 4430089 6814941 13290267 20444823 31010623 39870801 93031869 190493827 279095607 571481481 1333456789 1714444443 4000370367 12001111101