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132221134124010 = 23353311479480073
BaseRepresentation
bin11110000100000100100001…
…101110110011001111101010
3122100011012212011201120011000
4132010010201232303033222
5114312302340313432020
61145113314522415430
736564442651226451
oct3604044156631752
9570135764646130
10132221134124010
11391477392403a8
12129b5412361576
1358a1526781139
1424917738b7b98
1510445960dd090
hex784121bb33ea

132221134124010 has 64 divisors (see below), whose sum is σ = 353654916888960. Its totient is φ = 35152446510720.

The previous prime is 132221134123963. The next prime is 132221134124071. The reversal of 132221134124010 is 10421431122231.

132221134124010 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 211 + 3 + 41 + 2 + 401 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 739650667 + ... + 739829406.

It is an arithmetic number, because the mean of its divisors is an integer number (5525858076390).

Almost surely, 2132221134124010 is an apocalyptic number.

132221134124010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132221134124010 is an abundant number, since it is smaller than the sum of its proper divisors (221433782764950).

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

132221134124010 is a wasteful number, since it uses less digits than its factorization.

132221134124010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479480420 (or 1479480414 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 132221134124010 its reverse (10421431122231), we get a palindrome (142642565246241).

The spelling of 132221134124010 in words is "one hundred thirty-two trillion, two hundred twenty-one billion, one hundred thirty-four million, one hundred twenty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 331 662 993 1655 1986 2979 3310 4965 5958 8937 9930 14895 17874 29790 44685 89370 1479480073 2958960146 4438440219 7397400365 8876880438 13315320657 14794800730 22192201095 26630641314 39945961971 44384402190 66576603285 79891923942 133153206570 199729809855 399459619710 489707904163 979415808326 1469123712489 2448539520815 2938247424978 4407371137467 4897079041630 7345618562445 8814742274934 13222113412401 14691237124890 22036855687335 26444226824802 44073711374670 66110567062005 132221134124010