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212102000010 = 23452011130211
BaseRepresentation
bin1100010110001001000…
…0111010110110001010
3202021110202022222120000
43011202100322312022
511433341103000020
6241234401543430
721216041152605
oct3054220726612
9667422288500
10212102000010
1181a5205a9aa
1235134644b76
1317002647924
14a3a149133c
1557b5b42090
hex316243ad8a

212102000010 has 80 divisors (see below), whose sum is σ = 570606692832. Its totient is φ = 56531973600.

The previous prime is 212102000009. The next prime is 212102000069. The reversal of 212102000010 is 10000201212.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 212101999956 and 212102000001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1563805 + ... + 1694015.

Almost surely, 2212102000010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212102000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285303346416).

212102000010 is an abundant number, since it is smaller than the sum of its proper divisors (358504692822).

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

212102000010 is a wasteful number, since it uses less digits than its factorization.

212102000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132241 (or 132232 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 212102000010 its reverse (10000201212), we get a palindrome (222102201222).

The spelling of 212102000010 in words is "two hundred twelve billion, one hundred two million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 2011 4022 6033 10055 12066 18099 20110 30165 36198 54297 60330 90495 108594 130211 162891 180990 260422 271485 325782 390633 542970 651055 781266 814455 1171899 1302110 1628910 1953165 2343798 3515697 3906330 5859495 7031394 10547091 11718990 17578485 21094182 35156970 52735455 105470910 261854321 523708642 785562963 1309271605 1571125926 2356688889 2618543210 3927814815 4713377778 7070066667 7855629630 11783444445 14140133334 21210200001 23566888890 35350333335 42420400002 70700666670 106051000005 212102000010