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213103320012 = 223311272965731
BaseRepresentation
bin1100011001110111110…
…0101001101111001100
3202101001112111022101000
43012131330221233030
511442413422220022
6241522011420300
721252620222112
oct3063574515714
9671045438330
10213103320012
11824162a54a0
1235373a54690
1317131c2787b
14a458463ab2
1558239d46ac
hex319df29bcc

213103320012 has 96 divisors (see below), whose sum is σ = 602946489600. Its totient is φ = 64552118400.

The previous prime is 213103320011. The next prime is 213103320041. The reversal of 213103320012 is 210023301312.

213103320012 is a `hidden beast` number, since 21 + 310 + 3 + 320 + 0 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (213103320011) 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, 3209187 + ... + 3274917.

It is an arithmetic number, because the mean of its divisors is an integer number (6280692600).

Almost surely, 2213103320012 is an apocalyptic number.

213103320012 is a gapful number since it is divisible by the number (22) 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 213103320012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301473244800).

213103320012 is an abundant number, since it is smaller than the sum of its proper divisors (389843169588).

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

213103320012 is a wasteful number, since it uses less digits than its factorization.

213103320012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68484 (or 68476 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213103320012 its reverse (210023301312), we get a palindrome (423126621324).

The spelling of 213103320012 in words is "two hundred thirteen billion, one hundred three million, three hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 2729 5458 8187 10916 16374 24561 30019 32748 49122 60038 65731 73683 90057 98244 120076 131462 147366 180114 197193 262924 270171 294732 360228 394386 540342 591579 723041 788772 810513 1080684 1183158 1446082 1621026 1774737 2169123 2366316 2892164 3242052 3549474 4338246 6507369 7098948 8676492 13014738 19522107 26029476 39044214 78088428 179379899 358759798 538139697 717519596 1076279394 1614419091 1973178889 2152558788 3228838182 3946357778 4843257273 5919536667 6457676364 7892715556 9686514546 11839073334 17758610001 19373029092 23678146668 35517220002 53275830003 71034440004 106551660006 213103320012