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11213420124231 = 3313377969115817
BaseRepresentation
bin1010001100101101001111…
…1011000101100001000111
31110200222210112021022101000
42203023103323011201013
52432210041022433411
635503212445304343
72235100001254053
oct243132373054107
943628715238330
1011213420124231
113633648366076
12131129b8650b3
13634561b81330
142aaa37b04c63
15146a47dbb956
hexa32d3ec5847

11213420124231 has 128 divisors (see below), whose sum is σ = 18634565734400. Its totient is φ = 6619064325120.

The previous prime is 11213420124199. The next prime is 11213420124259. The reversal of 11213420124231 is 13242102431211.

11213420124231 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 3 + 420 + 1 + 2 + 4 + 231 = 666.

11213420124231 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 11213420124231 - 25 = 11213420124199 is a prime.

It is a super-2 number, since 2×112134201242312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11213420124195 and 11213420124204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213420124271) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 708939435 + ... + 708955251.

It is an arithmetic number, because the mean of its divisors is an integer number (145582544800).

Almost surely, 211213420124231 is an apocalyptic number.

11213420124231 is a deficient number, since it is larger than the sum of its proper divisors (7421145610169).

11213420124231 is a wasteful number, since it uses less digits than its factorization.

11213420124231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16646 (or 16640 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11213420124231 its reverse (13242102431211), we get a palindrome (24455522555442).

The spelling of 11213420124231 in words is "eleven trillion, two hundred thirteen billion, four hundred twenty million, one hundred twenty-four thousand, two hundred thirty-one".

Divisors: 1 3 9 13 27 37 39 79 111 117 237 333 351 481 691 711 999 1027 1443 2073 2133 2923 3081 4329 6219 8769 8983 9243 12987 15817 18657 25567 26307 26949 27729 37999 47451 54589 76701 78921 80847 113997 142353 163767 205621 230103 242541 332371 341991 427059 491301 585229 616863 690309 709657 997113 1025973 1249543 1473903 1755687 1850589 2019793 2128971 2991339 3748629 5267061 5551767 6059379 6386913 7607977 8974017 10929547 11245887 15801183 16244059 18178137 19160739 22823931 26257309 32788641 33737661 46233091 48732177 54534411 68471793 78771927 98365923 138699273 142084111 146196531 205415379 236315781 295097769 404393239 416097819 426252333 438589593 601030183 708947343 863434213 1213179717 1248293457 1278756999 1803090549 2590302639 3639539151 3836270997 5257112107 5409271647 7770907917 10918617453 11224644769 15771336321 16227814941 23312723751 31947065881 33673934307 47314008963 95841197643 101021802921 141942026889 287523592929 303065408763 415311856453 862570778787 1245935569359 3737806708077 11213420124231