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10212304212 = 22321165939133
BaseRepresentation
bin10011000001011001…
…10110010101010100
3222100201020210202100
421200230312111110
5131403322213322
64405205042100
7511033103445
oct114054662524
928321223670
1010212304212
114370641340
121b900b6330
13c69992076
146cc4292cc
153eb847dac
hex260b36554

10212304212 has 72 divisors (see below), whose sum is σ = 28204656480. Its totient is φ = 3089862720.

The previous prime is 10212304189. The next prime is 10212304213. The reversal of 10212304212 is 21240321201.

It is a happy number.

10212304212 is a `hidden beast` number, since 1 + 0 + 212 + 30 + 421 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212304213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241398 + ... + 280530.

It is an arithmetic number, because the mean of its divisors is an integer number (391731340).

Almost surely, 210212304212 is an apocalyptic number.

10212304212 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 10212304212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14102328240).

10212304212 is an abundant number, since it is smaller than the sum of its proper divisors (17992352268).

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

10212304212 is a wasteful number, since it uses less digits than its factorization.

10212304212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39813 (or 39808 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10212304212 its reverse (21240321201), we get a palindrome (31452625413).

The spelling of 10212304212 in words is "ten billion, two hundred twelve million, three hundred four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 659 1318 1977 2636 3954 5931 7249 7908 11862 14498 21747 23724 28996 39133 43494 65241 78266 86988 117399 130482 156532 234798 260964 352197 430463 469596 704394 860926 1291389 1408788 1721852 2582778 3874167 5165556 7748334 15496668 25788647 51577294 77365941 103154588 154731882 232097823 283675117 309463764 464195646 567350234 851025351 928391292 1134700468 1702050702 2553076053 3404101404 5106152106 10212304212