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202010212000212 = 223711797274310879
BaseRepresentation
bin101101111011101000101010…
…111011010110000111010100
3222111020222200000011021021120
4231323220222323112013110
5202434213403233001322
61553350113225043540
760356520241352130
oct5573505273260724
9874228600137246
10202010212000212
1159404060308030
121a7a6b233265b0
138894634409b15
1437c54bc8603c0
151854b38854a5c
hexb7ba2aed61d4

202010212000212 has 96 divisors (see below), whose sum is σ = 588403421061120. Its totient is φ = 52404350133120.

The previous prime is 202010212000171. The next prime is 202010212000217. The reversal of 202010212000212 is 212000212010202.

It is a junction number, because it is equal to n+sod(n) for n = 202010212000191 and 202010212000200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202010212000217) 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, 136419012 + ... + 137891867.

It is an arithmetic number, because the mean of its divisors is an integer number (6129202302720).

Almost surely, 2202010212000212 is an apocalyptic number.

202010212000212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

202010212000212 is an abundant number, since it is smaller than the sum of its proper divisors (386393209060908).

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

202010212000212 is a wasteful number, since it uses less digits than its factorization.

202010212000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274311701 (or 274311699 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202010212000212 its reverse (212000212010202), we get a palindrome (414010424010414).

The spelling of 202010212000212 in words is "two hundred two trillion, ten billion, two hundred twelve million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 797 924 1594 2391 3188 4782 5579 8767 9564 11158 16737 17534 22316 26301 33474 35068 52602 61369 66948 105204 122738 184107 245476 368214 736428 274310879 548621758 822932637 1097243516 1645865274 1920176153 3017419669 3291730548 3840352306 5760528459 6034839338 7680704612 9052259007 11521056918 12069678676 18104518014 21121937683 23042113836 36209036028 42243875366 63365813049 84487750732 126731626098 218625770563 253463252196 437251541126 655877311689 874503082252 1311754623378 1530380393941 2404883476193 2623509246756 3060760787882 4591141181823 4809766952386 6121521575764 7214650428579 9182282363646 9619533904772 14429300857158 16834184333351 18364564727292 28858601714316 33668368666702 50502553000053 67336737333404 101005106000106 202010212000212