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321331120020 = 2232512291452541
BaseRepresentation
bin1001010110100001101…
…00111100011110010100
31010201102010012012101100
410223100310330132110
520231041231320040
6403341213030100
732133612311541
oct4532064743624
91121363165340
10321331120020
11114304049509
1252339185330
13243bc219211
14117a4129bc8
15855a215b30
hex4ad0d3c794

321331120020 has 72 divisors (see below), whose sum is σ = 975498156360. Its totient is φ = 85618517760.

The previous prime is 321331119997. The next prime is 321331120039. The reversal of 321331120020 is 20021133123.

321331120020 is a `hidden beast` number, since 321 + 331 + 12 + 0 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 178533291024 + 142797828996 = 422532^2 + 377886^2 .

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 = 321331119975 and 321331120002.

It is a congruent number.

It is an unprimeable number.

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, 505051 + ... + 947490.

It is an arithmetic number, because the mean of its divisors is an integer number (13548585505).

Almost surely, 2321331120020 is an apocalyptic number.

321331120020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321331120020 is an abundant number, since it is smaller than the sum of its proper divisors (654167036340).

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

321331120020 is a wasteful number, since it uses less digits than its factorization.

321331120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453785 (or 1453780 counting only the distinct ones).

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

Adding to 321331120020 its reverse (20021133123), we get a palindrome (341352253143).

The spelling of 321331120020 in words is "three hundred twenty-one billion, three hundred thirty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1229 2458 3687 4916 6145 7374 11061 12290 14748 18435 22122 24580 36870 44244 55305 73740 110610 221220 1452541 2905082 4357623 5810164 7262705 8715246 13072869 14525410 17430492 21788115 26145738 29050820 43576230 52291476 65364345 87152460 130728690 261457380 1785172889 3570345778 5355518667 7140691556 8925864445 10711037334 16066556001 17851728890 21422074668 26777593335 32133112002 35703457780 53555186670 64266224004 80332780005 107110373340 160665560010 321331120020