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1054131012 = 2232112661947
BaseRepresentation
bin111110110101001…
…100001101000100
32201110112101220100
4332311030031010
54124324143022
6252333404100
735056652154
oct7665141504
92643471810
101054131012
114a1036260
12255039630
1313a51097c
149dddc764
15628251ac
hex3ed4c344

1054131012 has 36 divisors (see below), whose sum is σ = 2906847216. Its totient is φ = 319433520.

The previous prime is 1054131007. The next prime is 1054131017. The reversal of 1054131012 is 2101314501.

1054131012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1054131007) and next prime (1054131017).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10541310122 = 2222384380920288288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1054131017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1330578 + ... + 1331369.

It is an arithmetic number, because the mean of its divisors is an integer number (80745756).

Almost surely, 21054131012 is an apocalyptic number.

1054131012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1054131012 is an abundant number, since it is smaller than the sum of its proper divisors (1852716204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1054131012 is a wasteful number, since it uses less digits than its factorization.

1054131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661968 (or 2661963 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1054131012 is about 32467.3838182259. The cubic root of 1054131012 is about 1017.7275476656.

Adding to 1054131012 its reverse (2101314501), we get a palindrome (3155445513).

The spelling of 1054131012 in words is "one billion, fifty-four million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 2661947 5323894 7985841 10647788 15971682 23957523 29281417 31943364 47915046 58562834 87844251 95830092 117125668 175688502 263532753 351377004 527065506 1054131012