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331330032020 = 225135801219677
BaseRepresentation
bin1001101001001001100…
…11110001000110010100
31011200012221220120001102
410310210303301012110
520412030442011040
6412113320245232
732636444542511
oct4644463610624
91150187816042
10331330032020
11118575190049
1254269910818
13253239153b0
1412072088308
158942e5b515
hex4d24cf1194

331330032020 has 48 divisors (see below), whose sum is σ = 749448192528. Its totient is φ = 122315596800.

The previous prime is 331330031987. The next prime is 331330032037. The reversal of 331330032020 is 20230033133.

It can be written as a sum of positive squares in 8 ways, for example, as 857476 + 331329174544 = 926^2 + 575612^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 331330031983 and 331330032001.

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 15 ways as a sum of consecutive naturals, for example, 1398422 + ... + 1618098.

It is an arithmetic number, because the mean of its divisors is an integer number (15613504011).

Almost surely, 2331330032020 is an apocalyptic number.

It is an amenable number.

331330032020 is an abundant number, since it is smaller than the sum of its proper divisors (418118160508).

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

331330032020 is a wasteful number, since it uses less digits than its factorization.

331330032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225500 (or 225498 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 331330032020 its reverse (20230033133), we get a palindrome (351560065153).

The spelling of 331330032020 in words is "three hundred thirty-one billion, three hundred thirty million, thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 5801 11602 23204 29005 58010 75413 116020 150826 219677 301652 377065 439354 754130 878708 1098385 1508260 2196770 2855801 4393540 5711602 11423204 14279005 28558010 57116020 1274346277 2548692554 5097385108 6371731385 12743462770 16566501601 25486925540 33133003202 66266006404 82832508005 165665016010 331330032020