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11146516031 = 72613729179
BaseRepresentation
bin10100110000110001…
…00101011000111111
31001202211010200110002
422120120211120333
5140312002003111
65042020304515
7543135552200
oct123030453077
931684120402
1011146516031
1147aaa10522
1221b0b4213b
1310883a6821
1477a52d5a7
1545388163b
hex29862563f

11146516031 has 12 divisors (see below), whose sum is σ = 13178922120. Its totient is φ = 9397528560.

The previous prime is 11146516001. The next prime is 11146516103. The reversal of 11146516031 is 13061564111.

11146516031 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 11146516031 - 210 = 11146515007 is a prime.

It is a super-2 number, since 2×111465160312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11146515985 and 11146516003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11146516001) 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 11 ways as a sum of consecutive naturals, for example, 1861601 + ... + 1867578.

It is an arithmetic number, because the mean of its divisors is an integer number (1098243510).

Almost surely, 211146516031 is an apocalyptic number.

11146516031 is a deficient number, since it is larger than the sum of its proper divisors (2032406089).

11146516031 is an equidigital number, since it uses as much as digits as its factorization.

11146516031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729254 (or 3729247 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The spelling of 11146516031 in words is "eleven billion, one hundred forty-six million, five hundred sixteen thousand, thirty-one".

Divisors: 1 7 49 61 427 2989 3729179 26104253 182729771 227479919 1592359433 11146516031