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331011322020 = 223254494095661
BaseRepresentation
bin1001101000100011100…
…11111111000010100100
31011122101202012102010100
410310101303333002210
520410402344301040
6412021533224100
732625524546031
oct4642163770244
91148352172110
10331011322020
11118421297555
125419b032030
13252a28963b2
1412041a04388
158924ea3b30
hex4d11cff0a4

331011322020 has 72 divisors (see below), whose sum is σ = 1006304153400. Its totient is φ = 88073072640.

The previous prime is 331011322009. The next prime is 331011322021. The reversal of 331011322020 is 20223110133.

331011322020 is a `hidden beast` number, since 3 + 310 + 11 + 322 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58420823616 + 272590498404 = 241704^2 + 522102^2 .

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 = 331011321984 and 331011322002.

It is not an unprimeable number, because it can be changed into a prime (331011322021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1967011 + ... + 2128650.

It is an arithmetic number, because the mean of its divisors is an integer number (13976446575).

Almost surely, 2331011322020 is an apocalyptic number.

331011322020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331011322020 is an abundant number, since it is smaller than the sum of its proper divisors (675292831380).

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

331011322020 is a wasteful number, since it uses less digits than its factorization.

331011322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4096125 (or 4096120 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 331011322020 its reverse (20223110133), we get a palindrome (351234432153).

The spelling of 331011322020 in words is "three hundred thirty-one billion, eleven million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 449 898 1347 1796 2245 2694 4041 4490 5388 6735 8082 8980 13470 16164 20205 26940 40410 80820 4095661 8191322 12286983 16382644 20478305 24573966 36860949 40956610 49147932 61434915 73721898 81913220 122869830 147443796 184304745 245739660 368609490 737218980 1838951789 3677903578 5516855367 7355807156 9194758945 11033710734 16550566101 18389517890 22067421468 27584276835 33101132202 36779035780 55168553670 66202264404 82752830505 110337107340 165505661010 331011322020