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201013101303120 = 243257310667358531
BaseRepresentation
bin101101101101001000000010…
…011111111001010101010000
3222100201122221122110122021100
4231231020002133321111100
5202321344312413144440
61551304051030224400
760224501016311541
oct5555100237712520
9870648848418240
10201013101303120
115905a1a5315187
121a665828ab5100
1388215b9908092
14378d12c0464c8
151838c2aab8230
hexb6d2027f9550

201013101303120 has 240 divisors, whose sum is σ = 684382580586432. Its totient is φ = 52864095467520.

The previous prime is 201013101303109. The next prime is 201013101303149. The reversal of 201013101303120 is 21303101310102.

201013101303120 is a `hidden beast` number, since 2 + 0 + 10 + 1 + 310 + 1 + 30 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201013101303093 and 201013101303102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560478255 + ... + 560836785.

Almost surely, 2201013101303120 is an apocalyptic number.

201013101303120 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 201013101303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342191290293216).

201013101303120 is an abundant number, since it is smaller than the sum of its proper divisors (483369479283312).

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

201013101303120 is a wasteful number, since it uses less digits than its factorization.

201013101303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369290 (or 369281 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 201013101303120 its reverse (21303101310102), we get a palindrome (222316202613222).

The spelling of 201013101303120 in words is "two hundred one trillion, thirteen billion, one hundred one million, three hundred three thousand, one hundred twenty".