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132221130031000 = 23531180111204231
BaseRepresentation
bin11110000100000100100001…
…011111001011111110011000
3122100011012211220000121121001
4132010010201133023332120
5114312302333241443000
61145113314254554344
736564442601361463
oct3604044137137630
9570135756017531
10132221130031000
11391477369a524a
12129b5410b089b4
1358a152597a13a
1424917731302da
151044595a8046a
hex7841217cbf98

132221130031000 has 64 divisors (see below), whose sum is σ = 309423689789760. Its totient is φ = 52883965600000.

The previous prime is 132221130030991. The next prime is 132221130031009. The reversal of 132221130031000 is 130031122231.

It is an interprime number because it is at equal distance from previous prime (132221130030991) and next prime (132221130031009).

It is a super-2 number, since 2×1322211300310002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132221130031009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6198885 + ... + 17403115.

It is an arithmetic number, because the mean of its divisors is an integer number (4834745152965).

Almost surely, 2132221130031000 is an apocalyptic number.

132221130031000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132221130031000 is an abundant number, since it is smaller than the sum of its proper divisors (177202559758760).

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

132221130031000 is a wasteful number, since it uses less digits than its factorization.

132221130031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11216053 (or 11216039 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 132221130031000 its reverse (130031122231), we get a palindrome (132351161153231).

The spelling of 132221130031000 in words is "one hundred thirty-two trillion, two hundred twenty-one billion, one hundred thirty million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 11801 23602 47204 59005 94408 118010 236020 295025 472040 590050 1180100 1475125 2360200 2950250 5900500 11204231 11801000 22408462 44816924 56021155 89633848 112042310 224084620 280105775 448169240 560211550 1120423100 1400528875 2240846200 2801057750 5602115500 11204231000 132221130031 264442260062 528884520124 661105650155 1057769040248 1322211300310 2644422600620 3305528250775 5288845201240 6611056501550 13222113003100 16527641253875 26444226006200 33055282507750 66110565015500 132221130031000