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1121132013001 = 711131120012001
BaseRepresentation
bin10000010100001000101…
…011001110010111001001
310222011211121200020212221
4100110020223032113021
5121332034243404001
62215012501534041
7143666460605620
oct20241053162711
93864747606787
101121132013001
113a2518880150
12161348a14321
1381950b61b90
143c397c626b7
151e26acc81a1
hex10508ace5c9

1121132013001 has 16 divisors (see below), whose sum is σ = 1505296130688. Its totient is φ = 806408640000.

The previous prime is 1121132012983. The next prime is 1121132013011. The reversal of 1121132013001 is 1003102311211.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1121132013001 - 29 = 1121132012489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1121132013011) 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, 560005000 + ... + 560007001.

It is an arithmetic number, because the mean of its divisors is an integer number (94081008168).

Almost surely, 21121132013001 is an apocalyptic number.

1121132013001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1121132013001 is a deficient number, since it is larger than the sum of its proper divisors (384164117687).

1121132013001 is a wasteful number, since it uses less digits than its factorization.

1121132013001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120012032.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1121132013001 its reverse (1003102311211), we get a palindrome (2124234324212).

The spelling of 1121132013001 in words is "one trillion, one hundred twenty-one billion, one hundred thirty-two million, thirteen thousand, one".

Divisors: 1 7 11 13 77 91 143 1001 1120012001 7840084007 12320132011 14560156013 86240924077 101921092091 160161716143 1121132013001