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20201231301120 = 293255743152671
BaseRepresentation
bin1001001011111011101110…
…01101110011101000000000
32122112012220112122202202100
410211331313031303220000
510121434110203113440
6110544152331150400
74153330225612032
oct445756715635000
978465815582670
1020201231301120
116489326473a71
1223231735a5400
13b36c7773664c
144dba5da99c52
1525073147a230
hex125f77373a00

20201231301120 has 240 divisors, whose sum is σ = 69975186158592. Its totient is φ = 5386021724160.

The previous prime is 20201231301103. The next prime is 20201231301143. The reversal of 20201231301120 is 2110313210202.

20201231301120 is a `hidden beast` number, since 20 + 201 + 23 + 1 + 301 + 120 = 666.

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

It is a super-2 number, since 2×202012313011202 (a number of 27 digits) contains 22 as substring.

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 = 20201231301093 and 20201231301102.

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 23 ways as a sum of consecutive naturals, for example, 132242385 + ... + 132395055.

Almost surely, 220201231301120 is an apocalyptic number.

20201231301120 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 20201231301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34987593079296).

20201231301120 is an abundant number, since it is smaller than the sum of its proper divisors (49773954857472).

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

20201231301120 is a wasteful number, since it uses less digits than its factorization.

20201231301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158443 (or 158424 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20201231301120 its reverse (2110313210202), we get a palindrome (22311544511322).

The spelling of 20201231301120 in words is "twenty trillion, two hundred one billion, two hundred thirty-one million, three hundred one thousand, one hundred twenty".