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1332311322330 = 23451644828793
BaseRepresentation
bin10011011000110011111…
…100010110111011011010
311201100221001210200210000
4103120303330112323122
5133312033144303310
62500015543233430
7165153626246322
oct23306374267332
94640831720700
101332311322330
1147403700a96a
12196264448876
139883729a091
14486ac96c282
15249ca90a4c0
hex13633f16eda

1332311322330 has 40 divisors (see below), whose sum is σ = 3582437113332. Its totient is φ = 355283019072.

The previous prime is 1332311322319. The next prime is 1332311322337. The reversal of 1332311322330 is 332231132331.

1332311322330 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 3 + 1 + 1 + 322 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1262730906369 + 69580415961 = 1123713^2 + 263781^2 .

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 = 1332311322294 and 1332311322303.

It is not an unprimeable number, because it can be changed into a prime (1332311322337) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 822413587 + ... + 822415206.

Almost surely, 21332311322330 is an apocalyptic number.

1332311322330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1332311322330 is an abundant number, since it is smaller than the sum of its proper divisors (2250125791002).

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

1332311322330 is a wasteful number, since it uses less digits than its factorization.

1332311322330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644828812 (or 1644828803 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1332311322330 its reverse (332231132331), we get a palindrome (1664542454661).

The spelling of 1332311322330 in words is "one trillion, three hundred thirty-two billion, three hundred eleven million, three hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1644828793 3289657586 4934486379 8224143965 9868972758 14803459137 16448287930 24672431895 29606918274 44410377411 49344863790 74017295685 88820754822 133231132233 148034591370 222051887055 266462264466 444103774110 666155661165 1332311322330