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1130211122001 = 313734016731471
BaseRepresentation
bin10000011100100101110…
…101010001101101010001
311000001021100121210001020
4100130211311101231101
5122004133021401001
62223113430430053
7144440454012303
oct20344565215521
94001240553036
101130211122001
113a6357794115
12163061502329
1382769b1cb20
143c9b998b973
151e5ecdce736
hex10725d51b51

1130211122001 has 64 divisors (see below), whose sum is σ = 1652774129664. Its totient is φ = 682795008000.

The previous prime is 1130211121883. The next prime is 1130211122057. The reversal of 1130211122001 is 1002211120311.

It is not a de Polignac number, because 1130211122001 - 217 = 1130210990929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1130211122501) 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, 768327696 + ... + 768329166.

It is an arithmetic number, because the mean of its divisors is an integer number (25824595776).

Almost surely, 21130211122001 is an apocalyptic number.

It is an amenable number.

1130211122001 is a deficient number, since it is larger than the sum of its proper divisors (522563007663).

1130211122001 is a wasteful number, since it uses less digits than its factorization.

1130211122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1130211122001 its reverse (1002211120311), we get a palindrome (2132422242312).

The spelling of 1130211122001 in words is "one trillion, one hundred thirty billion, two hundred eleven million, one hundred twenty-two thousand, one".

Divisors: 1 3 13 39 73 219 401 673 949 1203 1471 2019 2847 4413 5213 8749 15639 19123 26247 29273 49129 57369 87819 107383 147387 269873 322149 380549 589871 638677 809619 989983 1141647 1395979 1769613 1916031 2969949 3508349 4187937 7668323 10525047 12869779 19700729 23004969 38609337 43060583 59102187 72268759 129181749 216806277 256109477 396983183 559787579 768328431 939493867 1190949549 1679362737 2818481601 5160781379 15482344137 28979772359 86939317077 376737040667 1130211122001