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2032021204020 = 223251722728310337
BaseRepresentation
bin11101100100011101111…
…001101110110000110100
321012021000001101120000100
4131210131321232300310
5231243034412012040
64153255254314100
7266544244151013
oct35443571566064
97167001346010
102032021204020
11713858aa4365
1228999b958930
131198075b8c82
14704c9512a7a
1537cce2a6b30
hex1d91de6ec34

2032021204020 has 288 divisors, whose sum is σ = 6578923897728. Its totient is φ = 505907675136.

The previous prime is 2032021203997. The next prime is 2032021204049. The reversal of 2032021204020 is 204021202302.

2032021204020 is a `hidden beast` number, since 20 + 32 + 0 + 212 + 0 + 402 + 0 = 666.

It is a super-2 number, since 2×20320212040202 (a number of 25 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 = 2032021203984 and 2032021204002.

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 95 ways as a sum of consecutive naturals, for example, 196572292 + ... + 196582628.

It is an arithmetic number, because the mean of its divisors is an integer number (22843485756).

Almost surely, 22032021204020 is an apocalyptic number.

2032021204020 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 2032021204020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3289461948864).

2032021204020 is an abundant number, since it is smaller than the sum of its proper divisors (4546902693708).

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

2032021204020 is a wasteful number, since it uses less digits than its factorization.

2032021204020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10879 (or 10874 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2032021204020 its reverse (204021202302), we get a palindrome (2236042406322).

The spelling of 2032021204020 in words is "two trillion, thirty-two billion, twenty-one million, two hundred four thousand, twenty".