Search a number
-
+
212101122221112 = 233293117775532031
BaseRepresentation
bin110000001110011110100100…
…000010111110010000111000
31000210222200001220000020120110
4300032132210002332100320
5210300031044242033422
62031033524351424320
762450541351121305
oct6016364402762070
91023880056006513
10212101122221112
1161644643035613
121b9567508250a0
139147085b1c257
143a53a6b7080ac
15197c3849be60c
hexc0e7a40be438

212101122221112 has 128 divisors (see below), whose sum is σ = 566550886809600. Its totient is φ = 66023229081600.

The previous prime is 212101122221101. The next prime is 212101122221137. The reversal of 212101122221112 is 211122221101212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35574537 + ... + 41106567.

It is an arithmetic number, because the mean of its divisors is an integer number (4426178803200).

Almost surely, 2212101122221112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212101122221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283275443404800).

212101122221112 is an abundant number, since it is smaller than the sum of its proper divisors (354449764588488).

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

212101122221112 is a wasteful number, since it uses less digits than its factorization.

212101122221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533877 (or 5533873 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 212101122221112 its reverse (211122221101212), we get a palindrome (423223343322324).

The spelling of 212101122221112 in words is "two hundred twelve trillion, one hundred one billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 31 58 62 87 93 116 124 174 186 232 248 348 372 696 744 899 1777 1798 2697 3554 3596 5331 5394 7108 7192 10662 10788 14216 21324 21576 42648 51533 55087 103066 110174 154599 165261 206132 220348 309198 330522 412264 440696 618396 661044 1236792 1322088 1597523 3195046 4792569 5532031 6390092 9585138 11064062 12780184 16596093 19170276 22128124 33192186 38340552 44256248 66384372 132768744 160428899 171492961 320857798 342985922 481286697 514478883 641715596 685971844 962573394 1028957766 1283431192 1371943688 1925146788 2057915532 3850293576 4115831064 4973295869 9830419087 9946591738 14919887607 19660838174 19893183476 29491257261 29839775214 39321676348 39786366952 58982514522 59679550428 78643352696 117965029044 119359100856 235930058088 285082153523 304742991697 570164307046 609485983394 855246460569 914228975091 1140328614092 1218971966788 1710492921138 1828457950182 2280657228184 2437943933576 3420985842276 3656915900364 6841971684552 7313831800728 8837546759213 17675093518426 26512640277639 35350187036852 53025280555278 70700374073704 106050561110556 212101122221112