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10110201300 = 2234521498377
BaseRepresentation
bin10010110101001110…
…10110110111010100
3222002121010102220000
421122213112313110
5131201202420200
64351120411300
7505353202353
oct113247266724
928077112800
1010110201300
114318a43971
121b61a76b30
13c51793344
146bca4b99a
153e28ca300
hex25a9d6dd4

10110201300 has 180 divisors, whose sum is σ = 32997171900. Its totient is φ = 2677639680.

The previous prime is 10110201293. The next prime is 10110201307. The reversal of 10110201300 is 310201101.

It is an interprime number because it is at equal distance from previous prime (10110201293) and next prime (10110201307).

It can be written as a sum of positive squares in 6 ways, for example, as 2836840644 + 7273360656 = 53262^2 + 85284^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 (10110201307) 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 59 ways as a sum of consecutive naturals, for example, 1202712 + ... + 1211088.

Almost surely, 210110201300 is an apocalyptic number.

10110201300 is a gapful number since it is divisible by the number (10) 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 10110201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498585950).

10110201300 is an abundant number, since it is smaller than the sum of its proper divisors (22886970600).

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

10110201300 is a wasteful number, since it uses less digits than its factorization.

10110201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8552 (or 8536 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10110201300 its reverse (310201101), we get a palindrome (10420402401).

The spelling of 10110201300 in words is "ten billion, one hundred ten million, two hundred one thousand, three hundred".