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213342223104 = 2832721112841
BaseRepresentation
bin1100011010110000101…
…1111111101100000000
3202101200012000211210200
43012230023333230000
511443411102114404
6242001424125200
721261550655433
oct3065413775400
9671605024720
10213342223104
118252913996a
123541ba66800
131716c58334a
14a47c09181a
155839975839
hex31ac2ffb00

213342223104 has 108 divisors (see below), whose sum is σ = 615251436072. Its totient is φ = 71098675200.

The previous prime is 213342223099. The next prime is 213342223109. The reversal of 213342223104 is 401322243312.

213342223104 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 422 + 231 + 0 + 4 = 666.

213342223104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213342223099) and next prime (213342223109).

It is a super-2 number, since 2×2133422231042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213342223109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16607724 + ... + 16620564.

Almost surely, 2213342223104 is an apocalyptic number.

213342223104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213342223104 is an abundant number, since it is smaller than the sum of its proper divisors (401909212968).

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

213342223104 is a wasteful number, since it uses less digits than its factorization.

213342223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20074 (or 20057 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 213342223104 its reverse (401322243312), we get a palindrome (614664466416).

The spelling of 213342223104 in words is "two hundred thirteen billion, three hundred forty-two million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 7211 12841 14422 21633 25682 28844 38523 43266 51364 57688 64899 77046 86532 102728 115376 115569 129798 154092 173064 205456 230752 231138 259596 308184 346128 410912 461504 462276 519192 616368 692256 821824 923008 924552 1038384 1232736 1384512 1643648 1846016 1849104 2076768 2465472 2769024 3287296 3698208 4153536 4930944 5538048 7396416 8307072 9861888 14792832 16614144 29585664 92596451 185192902 277789353 370385804 555578706 740771608 833368059 1111157412 1481543216 1666736118 2222314824 2963086432 3333472236 4444629648 5926172864 6666944472 8889259296 11852345728 13333888944 17778518592 23704691456 26667777888 35557037184 53335555776 71114074368 106671111552 213342223104