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10010020212 = 22326116092833
BaseRepresentation
bin10010101001010010…
…01100100101110100
3221211121121201021100
421110221030211310
5131000031121322
64333141250100
7503025524253
oct112451144564
927747551240
1010010020212
114277439385
121b34403930
13c36ab82aa
146ad61079a
153d8bdbdac
hex254a4c974

10010020212 has 72 divisors (see below), whose sum is σ = 25742979080. Its totient is φ = 3278776320.

The previous prime is 10010020157. The next prime is 10010020231. The reversal of 10010020212 is 21202001001.

It can be written as a sum of positive squares in 4 ways, for example, as 1205200656 + 8804819556 = 34716^2 + 93834^2 .

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 = 10010020194 and 10010020203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3531948 + ... + 3534780.

Almost surely, 210010020212 is an apocalyptic number.

10010020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12871489540).

10010020212 is an abundant number, since it is smaller than the sum of its proper divisors (15732958868).

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

10010020212 is a wasteful number, since it uses less digits than its factorization.

10010020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513 (or 4508 counting only the distinct ones).

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

Adding to 10010020212 its reverse (21202001001), we get a palindrome (31212021213).

The spelling of 10010020212 in words is "ten billion, ten million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 1609 2196 2833 3218 4827 5666 6436 8499 9654 11332 14481 16998 19308 25497 28962 33996 50994 57924 98149 101988 172813 196298 294447 345626 392596 518439 588894 691252 883341 1036878 1177788 1555317 1766682 2073756 3110634 3533364 4558297 6221268 9116594 13674891 18233188 27349782 41024673 54699564 82049346 164098692 278056117 556112234 834168351 1112224468 1668336702 2502505053 3336673404 5005010106 10010020212