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1030332001311 = 331719131901861
BaseRepresentation
bin11101111111001001001…
…00101010110000011111
310122111110121102202001000
432333210210222300133
5113340104443020221
62105154502321343
7134303405336514
oct16774444526037
93574417382030
101030332001311
11367a63610478
12147828129253
1376210384602
1437c229d530b
151bc045c0e26
hexefe492ac1f

1030332001311 has 64 divisors (see below), whose sum is σ = 1714259289600. Its totient is φ = 607781491200.

The previous prime is 1030332001297. The next prime is 1030332001403. The reversal of 1030332001311 is 1131002330301.

It is a happy number.

1030332001311 is a `hidden beast` number, since 1 + 0 + 30 + 3 + 320 + 0 + 1 + 311 = 666.

It is not a de Polignac number, because 1030332001311 - 239 = 480576187423 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030332001711) 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 63 ways as a sum of consecutive naturals, for example, 691521 + ... + 1593381.

It is an arithmetic number, because the mean of its divisors is an integer number (26785301400).

Almost surely, 21030332001311 is an apocalyptic number.

1030332001311 is a deficient number, since it is larger than the sum of its proper divisors (683927288289).

1030332001311 is a wasteful number, since it uses less digits than its factorization.

1030332001311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902037 (or 902031 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1030332001311 its reverse (1131002330301), we get a palindrome (2161334331612).

The spelling of 1030332001311 in words is "one trillion, thirty billion, three hundred thirty-two million, one thousand, three hundred eleven".

Divisors: 1 3 9 17 19 27 51 57 131 153 171 323 393 459 513 969 1179 2227 2489 2907 3537 6681 7467 8721 20043 22401 42313 60129 67203 126939 380817 901861 1142451 2705583 8116749 15331637 17135359 24350247 45994911 51406077 118143791 137984733 154218231 291301103 354431373 413954199 462654693 873903309 1063294119 2008444447 2244732029 2621709927 3189882357 6025333341 6734196087 7865129781 18076000023 20202588261 38160444493 54228000069 60607764783 114481333479 343444000437 1030332001311