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212110002010212 = 223236078963141257
BaseRepresentation
bin110000001110100110110101…
…010100101011100001100100
31000211000111222201220021020020
4300032212311110223201210
5210300202241003311322
62031041553440235140
762451304404102255
oct6016466524534144
91024014881807206
10212110002010212
116164838a490599
121b95840a60bab0
139147b6c700627
143a54270b8ab2c
15197c70435305c
hexc0e9b552b864

212110002010212 has 96 divisors (see below), whose sum is σ = 517353930842112. Its totient is φ = 67509849513216.

The previous prime is 212110002010199. The next prime is 212110002010219. The reversal of 212110002010212 is 212010200011212.

It is a junction number, because it is equal to n+sod(n) for n = 212110002010191 and 212110002010200.

It is not an unprimeable number, because it can be changed into a prime (212110002010219) 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, 1501518688 + ... + 1501659944.

It is an arithmetic number, because the mean of its divisors is an integer number (5389103446272).

Almost surely, 2212110002010212 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 212110002010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258676965421056).

212110002010212 is an abundant number, since it is smaller than the sum of its proper divisors (305243928831900).

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

212110002010212 is a wasteful number, since it uses less digits than its factorization.

212110002010212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150857 (or 150855 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212110002010212 its reverse (212010200011212), we get a palindrome (424120202021424).

The spelling of 212110002010212 in words is "two hundred twelve trillion, one hundred ten billion, two million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 607 1214 1821 2428 3642 7284 8963 13961 17926 26889 27922 35852 41883 53778 55844 83766 107556 141257 167532 206149 282514 412298 423771 565028 618447 824596 847542 1236894 1695084 2473788 3248911 5440541 6497822 9746733 10881082 12995644 16321623 19493466 21762164 32643246 38986932 65286492 85742999 125132443 171485998 250264886 257228997 342971996 375397329 500529772 514457994 750794658 1028915988 1266086491 1501589316 1972088977 2532172982 3798259473 3944177954 5064345964 5916266931 7596518946 7888355908 11832533862 15193037892 23665067724 29119989293 58239978586 87359967879 116479957172 174719935758 349439871516 768514500037 1537029000074 2305543500111 3074058000148 4611087000222 9222174000444 17675833500851 35351667001702 53027500502553 70703334003404 106055001005106 212110002010212