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331202002030020 = 2232511359495194111
BaseRepresentation
bin100101101001110011111100…
…1101011100000110111000100
31121102200121020222112010012200
41023103213321223200313010
5321402403200004430040
63132224033234314500
7126522361235640462
oct11323477153406704
91542617228463180
10331202002030020
1196592a86800430
1231191200428a30
13112a62a3b370c4
145bb0396173832
1528454cde87630
hex12d39f9ae0dc4

331202002030020 has 288 divisors, whose sum is σ = 1099264058081280. Its totient is φ = 80050718880000.

The previous prime is 331202002029949. The next prime is 331202002030037. The reversal of 331202002030020 is 20030200202133.

It is a happy number.

331202002030020 is a `hidden beast` number, since 3 + 3 + 120 + 200 + 20 + 300 + 20 = 666.

It is a super-2 number, since 2×3312020020300202 (a number of 30 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 = 331202002029975 and 331202002030002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3519222765 + ... + 3519316875.

It is an arithmetic number, because the mean of its divisors is an integer number (3816889090560).

Almost surely, 2331202002030020 is an apocalyptic number.

331202002030020 is a gapful number since it is divisible by the number (30) 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 331202002030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549632029040640).

331202002030020 is an abundant number, since it is smaller than the sum of its proper divisors (768062056051260).

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

331202002030020 is a wasteful number, since it uses less digits than its factorization.

331202002030020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99447 (or 99442 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 331202002030020 its reverse (20030200202133), we get a palindrome (351232202232153).

The spelling of 331202002030020 in words is "three hundred thirty-one trillion, two hundred two billion, two million, thirty thousand, twenty".