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210210000000 = 27357721113
BaseRepresentation
bin1100001111000101111…
…1100000110010000000
3202002120220012102110120
43003301133200302000
511421002230000000
6240322533500240
721121125342600
oct3036137406200
9662526172416
10210210000000
1181171079330
12348a6aa1680
1316a906854b0
14a2620aac00
1557049b46a0
hex30f17e0c80

210210000000 has 1536 divisors, whose sum is σ = 953856933120. Its totient is φ = 40320000000.

The previous prime is 210209999957. The next prime is 210210000019. The reversal of 210210000000 is 12012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16169999994 + ... + 16170000006.

Almost surely, 2210210000000 is an apocalyptic number.

210210000000 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 210210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476928466560).

210210000000 is an abundant number, since it is smaller than the sum of its proper divisors (743646933120).

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

210210000000 is an frugal number, since it uses more digits than its factorization.

210210000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 210210000000 its reverse (12012), we get a palindrome (210210012012).

It can be divided in two parts, 210 and 210000000, that multiplied together give a square (44100000000 = 2100002).

The spelling of 210210000000 in words is "two hundred ten billion, two hundred ten million", and thus it is an aban number.