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10213000112 = 247718271553
BaseRepresentation
bin10011000001011111…
…00000001110110000
3222100202120011100102
421200233200032300
5131404012000422
64405232011532
7511042032350
oct114057401660
928322504312
1010213000112
114370a77167
121b90390ba8
13c69b76a43
146cc56ab60
153eb934192
hex260be03b0

10213000112 has 80 divisors (see below), whose sum is σ = 22975529472. Its totient is φ = 4307358720.

The previous prime is 10213000097. The next prime is 10213000129. The reversal of 10213000112 is 21100031201.

It is a junction number, because it is equal to n+sod(n) for n = 10213000093 and 10213000102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6575528 + ... + 6577080.

Almost surely, 210213000112 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 10213000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11487764736).

10213000112 is an abundant number, since it is smaller than the sum of its proper divisors (12762529360).

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

10213000112 is a wasteful number, since it uses less digits than its factorization.

10213000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10213000112 its reverse (21100031201), we get a palindrome (31313031313).

The spelling of 10213000112 in words is "ten billion, two hundred thirteen million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 827 994 1136 1553 1654 1988 3106 3308 3976 5789 6212 6616 7952 10871 11578 12424 13232 21742 23156 24848 43484 46312 58717 86968 92624 110263 117434 173936 220526 234868 411019 441052 469736 771841 822038 882104 939472 1284331 1543682 1644076 1764208 2568662 3087364 3288152 5137324 6174728 6576304 8990317 10274648 12349456 17980634 20549296 35961268 71922536 91187501 143845072 182375002 364750004 638312507 729500008 1276625014 1459000016 2553250028 5106500056 10213000112