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1130330213001 = 331179715313119
BaseRepresentation
bin10000011100101100111…
…011100100101010001001
311000001120122201020012000
4100130230323210222021
5122004404013304001
62223133323141213
7144443431166343
oct20345473445211
94001518636160
101130330213001
113a6408a34a30
12163095374809
13827886b9082
143c9cb70c293
151e6085a5a86
hex1072cee4a89

1130330213001 has 64 divisors (see below), whose sum is σ = 1830869913600. Its totient is φ = 683522971200.

The previous prime is 1130330212997. The next prime is 1130330213011. The reversal of 1130330213001 is 1003120330311.

It is a happy number.

1130330213001 is a `hidden beast` number, since 1 + 1 + 30 + 330 + 2 + 1 + 300 + 1 = 666.

It is not a de Polignac number, because 1130330213001 - 22 = 1130330212997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1130330213011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362399920 + ... + 362403038.

It is an arithmetic number, because the mean of its divisors is an integer number (28607342400).

Almost surely, 21130330213001 is an apocalyptic number.

1130330213001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1130330213001 is a deficient number, since it is larger than the sum of its proper divisors (700539700599).

1130330213001 is a wasteful number, since it uses less digits than its factorization.

1130330213001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5467 (or 5461 counting only the distinct ones).

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

Adding to 1130330213001 its reverse (1003120330311), we get a palindrome (2133450543312).

The spelling of 1130330213001 in words is "one trillion, one hundred thirty billion, three hundred thirty million, two hundred thirteen thousand, one".

Divisors: 1 3 9 11 27 33 99 297 797 1531 2391 3119 4593 7173 8767 9357 13779 16841 21519 26301 28071 34309 41337 50523 78903 84213 102927 151569 236709 308781 454707 926343 1220207 2485843 3660621 4775189 7457529 10981863 13422277 14325567 22372587 27344273 32945589 40266831 42976701 52527079 67117761 82032819 120800493 128930103 157581237 246098457 362401479 472743711 738295371 1418231133 3805825633 11417476899 34252430697 41864081963 102757292091 125592245889 376776737667 1130330213001