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210331400000 = 26551935449
BaseRepresentation
bin1100001111100010111…
…0100111011101000000
3202002220100122011221212
43003320232213131000
511421224314300000
6240342551505252
721124131254501
oct3037056473500
9662810564855
10210331400000
1181223656a07
123491b688228
1316aac87c707
14a27426cba8
155710494c35
hex30f8ba7740

210331400000 has 168 divisors, whose sum is σ = 524486352600. Its totient is φ = 83681280000.

The previous prime is 210331399979. The next prime is 210331400003. The reversal of 210331400000 is 4133012.

210331400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 188689459456 + 21641940544 = 434384^2 + 147112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210331400003) 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 23 ways as a sum of consecutive naturals, for example, 38597276 + ... + 38602724.

It is an arithmetic number, because the mean of its divisors is an integer number (3121942575).

Almost surely, 2210331400000 is an apocalyptic number.

210331400000 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 210331400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262243176300).

210331400000 is an abundant number, since it is smaller than the sum of its proper divisors (314154952600).

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

210331400000 is an frugal number, since it uses more digits than its factorization.

210331400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5679 (or 5649 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 210331400000 its reverse (4133012), we get a palindrome (210335533012).

The spelling of 210331400000 in words is "two hundred ten billion, three hundred thirty-one million, four hundred thousand".