Search a number
-
+
12001100110021 = 11412272713071409
BaseRepresentation
bin1010111010100011100101…
…0011110001100011000101
31120111021221022010111001001
42232220321103301203011
53033111223112010041
641305121305133301
72346023306544241
oct256507123614305
946437838114031
1012001100110021
113907702164840
121419a8818a231
136909115ab669
142d6bdbb49421
1515c2997c9131
hexaea394f18c5

12001100110021 has 64 divisors (see below), whose sum is σ = 13573883473920. Its totient is φ = 10516137984000.

The previous prime is 12001100109931. The next prime is 12001100110031.

12001100110021 is nontrivially palindromic in base 10.

12001100110021 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 12001100110021 - 217 = 12001099978949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001100110031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8517458565 + ... + 8517459973.

It is an arithmetic number, because the mean of its divisors is an integer number (212091929280).

Almost surely, 212001100110021 is an apocalyptic number.

12001100110021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12001100110021 is a deficient number, since it is larger than the sum of its proper divisors (1572783363899).

12001100110021 is a wasteful number, since it uses less digits than its factorization.

12001100110021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 12001100 and 110021, that added together give a palindrome (12111121).

The spelling of 12001100110021 in words is "twelve trillion, one billion, one hundred million, one hundred ten thousand, twenty-one".

Divisors: 1 11 41 227 271 307 451 1409 2497 2981 3377 9307 11111 12587 15499 57769 61517 69689 83197 102377 122221 138457 319843 381839 432563 635459 676687 766579 915167 2522197 2857249 3411077 3518273 4200229 4758193 13113563 15655399 17735083 18885719 27744167 31429739 37521847 86677453 98191801 117224573 144249193 172209389 195085913 207742909 774314479 953451983 1080109811 1289470303 3553775573 4025863841 4806207493 8517459269 26609978071 39091531303 44284502251 52868282423 292709758781 1091009100911 12001100110021