Search a number
-
+
2020111332120 = 233257217107157401
BaseRepresentation
bin11101011001011000000…
…001001011001100011000
321011010021000212101011200
4131121120001023030120
5231044142000111440
64144005404354200
7265643146002300
oct35313001131430
97133230771150
102020111332120
117097a7201322
12287617245960
1311865a01c7ab
146dab9876600
15378338dac30
hex1d65804b318

2020111332120 has 1152 divisors, whose sum is σ = 8234554685760. Its totient is φ = 426708172800.

The previous prime is 2020111332097. The next prime is 2020111332133. The reversal of 2020111332120 is 212331110202.

2020111332120 is a `hidden beast` number, since 2 + 0 + 201 + 11 + 332 + 120 = 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 = 2020111332093 and 2020111332102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5037683920 + ... + 5037684320.

Almost surely, 22020111332120 is an apocalyptic number.

2020111332120 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 2020111332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4117277342880).

2020111332120 is an abundant number, since it is smaller than the sum of its proper divisors (6214443353640).

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

2020111332120 is a wasteful number, since it uses less digits than its factorization.

2020111332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 699 counting only the distinct ones).

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

Adding to 2020111332120 its reverse (212331110202), we get a palindrome (2232442442322).

The spelling of 2020111332120 in words is "two trillion, twenty billion, one hundred eleven million, three hundred thirty-two thousand, one hundred twenty".