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21131414461212 = 223114329063128099
BaseRepresentation
bin1001100111000000010100…
…11100111101101100011100
32202211010212121101020202220
410303200022130331230130
510232204114100224322
6112535345432345340
74310460102200616
oct463401234755434
982733777336686
1021131414461212
116807867628770
1224534abb45250
13ba38b74c6ba3
14530aa1967db6
15269a2371055c
hex13380a73db1c

21131414461212 has 96 divisors (see below), whose sum is σ = 55042286745600. Its totient is φ = 6254277247680.

The previous prime is 21131414461189. The next prime is 21131414461219. The reversal of 21131414461212 is 21216441413112.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131414461219) 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, 164897539 + ... + 165025637.

It is an arithmetic number, because the mean of its divisors is an integer number (573357153600).

Almost surely, 221131414461212 is an apocalyptic number.

21131414461212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21131414461212 is an abundant number, since it is smaller than the sum of its proper divisors (33910872284388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21131414461212 is a wasteful number, since it uses less digits than its factorization.

21131414461212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157223 (or 157221 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

Adding to 21131414461212 its reverse (21216441413112), we get a palindrome (42347855874324).

The spelling of 21131414461212 in words is "twenty-one trillion, one hundred thirty-one billion, four hundred fourteen million, four hundred sixty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1419 1892 2838 5676 29063 58126 87189 116252 128099 174378 256198 319693 348756 384297 512396 639386 768594 959079 1249709 1278772 1409089 1537188 1918158 2499418 2818178 3749127 3836316 4227267 4998836 5508257 5636356 7498254 8454534 11016514 13746799 14996508 16524771 16909068 22033028 27493598 33049542 41240397 54987196 60590827 66099084 82480794 121181654 164961588 181772481 242363308 363544962 727089924 3722941237 7445882474 11168823711 14891764948 22337647422 40952353607 44675294844 81904707214 122857060821 160086473191 163809414428 245714121642 320172946382 480259419573 491428243284 640345892764 960518839146 1760951205101 1921037678292 3521902410202 5282853615303 7043804820404 10565707230606 21131414461212