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210020310000 = 2433545211493
BaseRepresentation
bin1100001110011000101…
…1111001101111110000
3202002002200021011201000
43003212023321233300
511420110144410000
6240252040042000
721113333115534
oct3034613715760
9662080234630
10210020310000
1181083a98436
1234853463300
1316a6029aba7
14a244c0dbc4
1556e2ee5000
hex30e62f9bf0

210020310000 has 400 divisors, whose sum is σ = 755255365920. Its totient is φ = 55860480000.

The previous prime is 210020309987. The next prime is 210020310001. The reversal of 210020310000 is 13020012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×2100203100002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210020310001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 140669254 + ... + 140670746.

Almost surely, 2210020310000 is an apocalyptic number.

210020310000 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 210020310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377627682960).

210020310000 is an abundant number, since it is smaller than the sum of its proper divisors (545235055920).

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

210020310000 is a wasteful number, since it uses less digits than its factorization.

210020310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 210020310000 its reverse (13020012), we get a palindrome (210033330012).

The spelling of 210020310000 in words is "two hundred ten billion, twenty million, three hundred ten thousand".