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1130141320121 = 112910135076859
BaseRepresentation
bin10000011100100001101…
…011000000001110111001
311000001002111021110212102
4100130201223000032321
5122004012134220441
62223102454353145
7144435645502262
oct20344153001671
94001074243772
101130141320121
113a6321348a10
1216304205b7b5
1382758520538
143c9b05bb969
151e5e6be269b
hex10721ac03b9

1130141320121 has 16 divisors (see below), whose sum is σ = 1288022299200. Its totient is φ = 982152024000.

The previous prime is 1130141320079. The next prime is 1130141320159. The reversal of 1130141320121 is 1210231410311.

It is a cyclic number.

It is not a de Polignac number, because 1130141320121 - 26 = 1130141320057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1130141320093 and 1130141320102.

It is not an unprimeable number, because it can be changed into a prime (1130141323121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17506211 + ... + 17570648.

It is an arithmetic number, because the mean of its divisors is an integer number (80501393700).

Almost surely, 21130141320121 is an apocalyptic number.

1130141320121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1130141320121 is a deficient number, since it is larger than the sum of its proper divisors (157880979079).

1130141320121 is a wasteful number, since it uses less digits than its factorization.

1130141320121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35077000.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1130141320121 its reverse (1210231410311), we get a palindrome (2340372730432).

The spelling of 1130141320121 in words is "one trillion, one hundred thirty billion, one hundred forty-one million, three hundred twenty thousand, one hundred twenty-one".

Divisors: 1 11 29 101 319 1111 2929 32219 35076859 385845449 1017228911 3542762759 11189518021 38970390349 102740120011 1130141320121