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20010201120 = 2534571319247
BaseRepresentation
bin10010101000101100…
…110111000000100000
31220122112201112120000
4102220230313000200
5311440102413440
613105332020000
71305604621530
oct225054670040
956575645500
1020010201120
1185392672a8
123a65461600
131b6b839bc0
14d7b7bd4c0
157c1ad3730
hex4a8b37020

20010201120 has 1440 divisors, whose sum is σ = 93683132928. Its totient is φ = 3914625024.

The previous prime is 20010201037. The next prime is 20010201121. The reversal of 20010201120 is 2110201002.

It is a tau number, because it is divible by the number of its divisors (1440).

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

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 not an unprimeable number, because it can be changed into a prime (20010201121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 425748937 + ... + 425748983.

Almost surely, 220010201120 is an apocalyptic number.

20010201120 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 20010201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46841566464).

20010201120 is an abundant number, since it is smaller than the sum of its proper divisors (73672931808).

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

20010201120 is a wasteful number, since it uses less digits than its factorization.

20010201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20010201120 its reverse (2110201002), we get a palindrome (22120402122).

The spelling of 20010201120 in words is "twenty billion, ten million, two hundred one thousand, one hundred twenty".