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1054310112 = 25323660799
BaseRepresentation
bin111110110101110…
…111111011100000
32201110212111120200
4332311313323200
54124400410422
6252341305200
735061326262
oct7665677340
92643774520
101054310112
114a1148879
12255105200
1313a57434b
14a0047b32
156285d2ac
hex3ed77ee0

1054310112 has 36 divisors (see below), whose sum is σ = 2998195200. Its totient is φ = 351436608.

The previous prime is 1054310111. The next prime is 1054310129. The reversal of 1054310112 is 2110134501.

1054310112 is a `hidden beast` number, since 1 + 0 + 543 + 10 + 112 = 666.

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

It is a super-2 number, since 2×10543101122 = 2223139624530905088, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054310111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1830112 + ... + 1830687.

It is an arithmetic number, because the mean of its divisors is an integer number (83283200).

Almost surely, 21054310112 is an apocalyptic number.

1054310112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1054310112 is an abundant number, since it is smaller than the sum of its proper divisors (1943885088).

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

1054310112 is a wasteful number, since it uses less digits than its factorization.

1054310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660815 (or 3660804 counting only the distinct ones).

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

The square root of 1054310112 is about 32470.1418537092. The cubic root of 1054310112 is about 1017.7851827159.

Adding to 1054310112 its reverse (2110134501), we get a palindrome (3164444613).

The spelling of 1054310112 in words is "one billion, fifty-four million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3660799 7321598 10982397 14643196 21964794 29286392 32947191 43929588 58572784 65894382 87859176 117145568 131788764 175718352 263577528 351436704 527155056 1054310112