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132221333121030 = 23352207221888827
BaseRepresentation
bin11110000100000100101101…
…100101111010100000000110
3122100011020101001011122202000
4132010010231211322200012
5114312303242234333110
61145113350351530130
736564450615535626
oct3604045545724006
9570136331148660
10132221333121030
11391478305a884a
12129b5468b29946
1358a1558a76a5a
1424917920b8886
1510445a87ea1c0
hex78412d97a806

132221333121030 has 64 divisors (see below), whose sum is σ = 352749983201280. Its totient is φ = 35243046011232.

The previous prime is 132221333120963. The next prime is 132221333121079. The reversal of 132221333121030 is 30121333122231.

132221333121030 is a `hidden beast` number, since 1 + 3 + 2 + 221 + 3 + 331 + 2 + 103 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132221333120985 and 132221333121003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110348524 + ... + 111540303.

It is an arithmetic number, because the mean of its divisors is an integer number (5511718487520).

Almost surely, 2132221333121030 is an apocalyptic number.

132221333121030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132221333121030 is an abundant number, since it is smaller than the sum of its proper divisors (220528650080250).

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

132221333121030 is a wasteful number, since it uses less digits than its factorization.

132221333121030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221891050 (or 221891044 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 132221333121030 its reverse (30121333122231), we get a palindrome (162342666243261).

The spelling of 132221333121030 in words is "one hundred thirty-two trillion, two hundred twenty-one billion, three hundred thirty-three million, one hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 2207 4414 6621 11035 13242 19863 22070 33105 39726 59589 66210 99315 119178 198630 297945 595890 221888827 443777654 665666481 1109444135 1331332962 1996999443 2218888270 3328332405 3993998886 5990998329 6656664810 9984997215 11981996658 19969994430 29954991645 59909983290 489708641189 979417282378 1469125923567 2448543205945 2938251847134 4407377770701 4897086411890 7345629617835 8814755541402 13222133312103 14691259235670 22036888853505 26444266624206 44073777707010 66110666560515 132221333121030