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210012010210000 = 2454109320960041
BaseRepresentation
bin101111110000000100111011…
…010001000110001011010000
31000112120221201002012012020101
4233300010323101012023100
5210011314044103210000
62022354104031022144
762143603251041455
oct5760047321061320
91015527632165211
10210012010210000
1160a09658841959
121b67989936a954
13902508071522b
1439c08c7c6b82c
151942d635bce6a
hexbf013b4462d0

210012010210000 has 200 divisors, whose sum is σ = 513293299972200. Its totient is φ = 83206794240000.

The previous prime is 210012010209941. The next prime is 210012010210003. The reversal of 210012010210000 is 12010210012.

It can be written as a sum of positive squares in 20 ways, for example, as 139432453655104 + 70579556554896 = 11808152^2 + 8401164^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210012010210003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3497779980 + ... + 3497840020.

It is an arithmetic number, because the mean of its divisors is an integer number (2566466499861).

Almost surely, 2210012010210000 is an apocalyptic number.

210012010210000 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 210012010210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256646649986100).

210012010210000 is an abundant number, since it is smaller than the sum of its proper divisors (303281289762200).

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

210012010210000 is a wasteful number, since it uses less digits than its factorization.

210012010210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63387 (or 63366 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 210012010210000 its reverse (12010210012), we get a palindrome (210024020420012).

The spelling of 210012010210000 in words is "two hundred ten trillion, twelve billion, ten million, two hundred ten thousand".