Search a number
-
+
2031111322020 = 2234511361331547
BaseRepresentation
bin11101100011100111101…
…010110011100110100100
321012011122122021202120000
4131203213222303212210
5231234203444301040
64153025112341300
7266512555243554
oct35434752634644
97164578252500
102031111322020
11713431432570
122897870a4830
131196c0c42661
1470440743164
1537c79477130
hex1d8e7ab39a4

2031111322020 has 240 divisors, whose sum is σ = 6953058560448. Its totient is φ = 492238736640.

The previous prime is 2031111321997. The next prime is 2031111322033. The reversal of 2031111322020 is 202231111302.

2031111322020 is a `hidden beast` number, since 2 + 0 + 311 + 11 + 322 + 0 + 20 = 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 = 2031111321984 and 2031111322002.

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 79 ways as a sum of consecutive naturals, for example, 64367887 + ... + 64399433.

Almost surely, 22031111322020 is an apocalyptic number.

2031111322020 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 2031111322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476529280224).

2031111322020 is an abundant number, since it is smaller than the sum of its proper divisors (4921947238428).

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

2031111322020 is a wasteful number, since it uses less digits than its factorization.

2031111322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35192 (or 35181 counting only the distinct ones).

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

Adding to 2031111322020 its reverse (202231111302), we get a palindrome (2233342433322).

It can be divided in two parts, 203111 and 1322020, that added together give a triangular number (1525131 = T1746).

The spelling of 2031111322020 in words is "two trillion, thirty-one billion, one hundred eleven million, three hundred twenty-two thousand, twenty".