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20211300130032 = 24321189311460987
BaseRepresentation
bin1001001100001110011110…
…10111010101110011110000
32122120011220020221021101200
410212013033113111303300
510122120220313130112
6110552535413131200
74154134600342254
oct446071727256360
978504806837350
1020211300130032
11649262301a180
122325103629b00
13b37bc077258b
144dc337018264
15250b203d1cdc
hex1261cf5d5cf0

20211300130032 has 240 divisors, whose sum is σ = 62599810141440. Its totient is φ = 6036335078400.

The previous prime is 20211300130031. The next prime is 20211300130093. The reversal of 20211300130032 is 23003100311202.

20211300130032 is a `hidden beast` number, since 20 + 2 + 11 + 300 + 1 + 300 + 32 = 666.

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 = 20211300129987 and 20211300130014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211300130031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43613043 + ... + 44074029.

It is an arithmetic number, because the mean of its divisors is an integer number (260832542256).

Almost surely, 220211300130032 is an apocalyptic number.

20211300130032 is a gapful number since it is divisible by the number (22) 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 20211300130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31299905070720).

20211300130032 is an abundant number, since it is smaller than the sum of its proper divisors (42388510011408).

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

20211300130032 is a wasteful number, since it uses less digits than its factorization.

20211300130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461412 (or 461403 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20211300130032 its reverse (23003100311202), we get a palindrome (43214400441234).

The spelling of 20211300130032 in words is "twenty trillion, two hundred eleven billion, three hundred million, one hundred thirty thousand, thirty-two".