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212213040140 = 2253143127233269
BaseRepresentation
bin1100010110100011100…
…0100000010000001100
3202021202111021101222102
43011220320200100030
511434103014241030
6241253405534232
721221560036013
oct3055070402014
9667674241872
10212213040140
1181aa9802002
1235165874378
131701c65554a
14a3b2117a7a
1557c0777c45
hex3168e2040c

212213040140 has 192 divisors, whose sum is σ = 478235197440. Its totient is φ = 78968494080.

The previous prime is 212213040113. The next prime is 212213040161. The reversal of 212213040140 is 41040312212.

It is a super-2 number, since 2×2122130401402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 788895926 + ... + 788896194.

It is an arithmetic number, because the mean of its divisors is an integer number (2490808320).

Almost surely, 2212213040140 is an apocalyptic number.

212213040140 is a gapful number since it is divisible by the number (20) 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 212213040140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239117598720).

212213040140 is an abundant number, since it is smaller than the sum of its proper divisors (266022157300).

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

212213040140 is a wasteful number, since it uses less digits than its factorization.

212213040140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 212213040140 its reverse (41040312212), we get a palindrome (253253352352).

The spelling of 212213040140 in words is "two hundred twelve billion, two hundred thirteen million, forty thousand, one hundred forty".