Search a number
-
+
12101110200201 = 3116133717838221
BaseRepresentation
bin1011000000011000001001…
…0111111111011110001001
31120211212002011202110102010
42300012002113333132021
53041231033202401301
641423101232330133
72356163535356211
oct260060227773611
946755064673363
1012101110200201
113946063261830
1214353393a3949
1369a18c211a09
142db9a8275241
1515eb9e8585d6
hexb01825ff789

12101110200201 has 32 divisors (see below), whose sum is σ = 17943253451136. Its totient is φ = 7192370304000.

The previous prime is 12101110200199. The next prime is 12101110200203. The reversal of 12101110200201 is 10200201110121.

12101110200201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12101110200199) and next prime (12101110200203).

It is not a de Polignac number, because 12101110200201 - 21 = 12101110200199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12101110200203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8240730 + ... + 9597491.

It is an arithmetic number, because the mean of its divisors is an integer number (560726670348).

Almost surely, 212101110200201 is an apocalyptic number.

12101110200201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12101110200201 is a deficient number, since it is larger than the sum of its proper divisors (5842143250935).

12101110200201 is a wasteful number, since it uses less digits than its factorization.

12101110200201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17838633.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12101110200201 its reverse (10200201110121), we get a palindrome (22301311310322).

The spelling of 12101110200201 in words is "twelve trillion, one hundred one billion, one hundred ten million, two hundred thousand, two hundred one".

Divisors: 1 3 11 33 61 183 337 671 1011 2013 3707 11121 20557 61671 226127 678381 17838221 53514663 196220431 588661293 1088131481 3264394443 6011480477 11969446291 18034441431 35908338873 66126285247 198378855741 366700309097 1100100927291 4033703400067 12101110200201