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13111002993 = 3111061374461
BaseRepresentation
bin11000011010111101…
…00000011101110001
31020211201122221221110
430031132200131301
5203322404043433
610004554143533
7642621454344
oct141536403561
936751587843
1013111002993
115618901670
12265aa21ba9
13130c39874a
148c53c245b
1551b07b963
hex30d7a0771

13111002993 has 16 divisors (see below), whose sum is σ = 19088574912. Its totient is φ = 7938552000.

The previous prime is 13111002943. The next prime is 13111003019. The reversal of 13111002993 is 39920011131.

It is a happy number.

13111002993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13111002993 - 26 = 13111002929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13111002993.

It is not an unprimeable number, because it can be changed into a prime (13111002913) 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, 152218 + ... + 222243.

It is an arithmetic number, because the mean of its divisors is an integer number (1193035932).

Almost surely, 213111002993 is an apocalyptic number.

It is an amenable number.

13111002993 is a deficient number, since it is larger than the sum of its proper divisors (5977571919).

13111002993 is a wasteful number, since it uses less digits than its factorization.

13111002993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375536.

The product of its (nonzero) digits is 1458, while the sum is 30.

The spelling of 13111002993 in words is "thirteen billion, one hundred eleven million, two thousand, nine hundred ninety-three".

Divisors: 1 3 11 33 1061 3183 11671 35013 374461 1123383 4119071 12357213 397303121 1191909363 4370334331 13111002993