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332131223020 = 225314091309769
BaseRepresentation
bin1001101010101001001…
…00000100010111101100
31011202021210111021111011
410311110210010113230
520420201043114040
6412325020435004
732665343546362
oct4652444042754
91152253437434
10332131223020
11118946464773
12544520a8a64
13254208c43cc
141210a643632
15898d46b3ea
hex4d549045ec

332131223020 has 48 divisors (see below), whose sum is σ = 721735660800. Its totient is φ = 128252482560.

The previous prime is 332131223009. The next prime is 332131223059. The reversal of 332131223020 is 20322131233.

It is a super-3 number, since 3×3321312230203 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 332131222982 and 332131223000.

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, 401305 + ... + 908464.

It is an arithmetic number, because the mean of its divisors is an integer number (15036159600).

Almost surely, 2332131223020 is an apocalyptic number.

It is an amenable number.

332131223020 is an abundant number, since it is smaller than the sum of its proper divisors (389604437780).

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

332131223020 is a wasteful number, since it uses less digits than its factorization.

332131223020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310218 (or 1310216 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 332131223020 its reverse (20322131233), we get a palindrome (352453354253).

The spelling of 332131223020 in words is "three hundred thirty-two billion, one hundred thirty-one million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 409 620 818 1636 2045 4090 8180 12679 25358 50716 63395 126790 253580 1309769 2619538 5239076 6548845 13097690 26195380 40602839 81205678 162411356 203014195 406028390 535695521 812056780 1071391042 2142782084 2678477605 5356955210 10713910420 16606561151 33213122302 66426244604 83032805755 166065611510 332131223020