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213020333100000 = 253255376397007
BaseRepresentation
bin110000011011110110101001…
…010010001100101111100000
31000221020112201021110002101200
4300123312221102030233200
5210410111120233200000
62033020105015001200
762604132302512146
oct6033665122145740
91027215637402350
10213020333100000
1161969463674018
121ba84926669200
1391b296763b9ca
143a8634c27d596
15199623383d500
hexc1bda948cbe0

213020333100000 has 432 divisors, whose sum is σ = 777636489704256. Its totient is φ = 55270131840000.

The previous prime is 213020333099971. The next prime is 213020333100083. The reversal of 213020333100000 is 1333020312.

213020333100000 is a `hidden beast` number, since 2 + 130 + 203 + 331 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×2130203331000002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30101497 + ... + 36498503.

It is an arithmetic number, because the mean of its divisors is an integer number (1800084466908).

Almost surely, 2213020333100000 is an apocalyptic number.

213020333100000 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 213020333100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388818244852128).

213020333100000 is an abundant number, since it is smaller than the sum of its proper divisors (564616156604256).

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

213020333100000 is an equidigital number, since it uses as much as digits as its factorization.

213020333100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6397085 (or 6397054 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 213020333100000 its reverse (1333020312), we get a palindrome (213021666120312).

The spelling of 213020333100000 in words is "two hundred thirteen trillion, twenty billion, three hundred thirty-three million, one hundred thousand".