Search a number
-
+
12311102023011 = 33117146722677
BaseRepresentation
bin1011001100100110011011…
…0111001110010101100011
31121120221002212102100001000
42303021212313032111203
53103201114104214021
642103350414043043
72410306404410031
oct263114667162543
947527085370030
1012311102023011
113a17122162330
121469b831a9483
136b3c1661737c
14307c0938b551
151653900c2b26
hexb3266dce563

12311102023011 has 96 divisors (see below), whose sum is σ = 20227817525760. Its totient is φ = 7337691547200.

The previous prime is 12311102023001. The next prime is 12311102023021. The reversal of 12311102023011 is 11032020111321.

12311102023011 is a `hidden beast` number, since 1 + 231 + 110 + 20 + 2 + 301 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (12311102023001) and next prime (12311102023021).

It is not a de Polignac number, because 12311102023011 - 210 = 12311102021987 is a prime.

It is a super-2 number, since 2×123111020230112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311102023001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4598841405 + ... + 4598844081.

It is an arithmetic number, because the mean of its divisors is an integer number (210706432560).

Almost surely, 212311102023011 is an apocalyptic number.

12311102023011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12311102023011 is a deficient number, since it is larger than the sum of its proper divisors (7916715502749).

12311102023011 is an equidigital number, since it uses as much as digits as its factorization.

12311102023011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3702 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12311102023011 its reverse (11032020111321), we get a palindrome (23343122134332).

The spelling of 12311102023011 in words is "twelve trillion, three hundred eleven billion, one hundred two million, twenty-three thousand, eleven".

Divisors: 1 3 9 11 27 33 71 99 213 297 467 639 781 1401 1917 2343 2677 4203 5137 7029 8031 12609 15411 21087 24093 29447 33157 46233 72279 88341 99471 138699 190067 218089 265023 298413 364727 570201 654267 795069 895239 1094181 1250159 1710603 1962801 2090737 2398979 3282543 3750477 5131809 5888403 6272211 7196937 9847629 11251431 13751749 15484319 18816633 21590811 33754293 41255247 46452957 56449899 64772433 88761289 123765741 139358871 170327509 266283867 371297223 418076613 510982527 583824253 798851601 976374179 1532947581 1751472759 2396554803 2929122537 4598842743 5254418277 6422066783 8787367611 15763254831 19266200349 26362102833 41451521963 57798601047 124354565889 173395803141 373063697667 455966741593 1119191093001 1367900224779 4103700674337 12311102023011