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1120132116 = 223264148541
BaseRepresentation
bin100001011000011…
…1101110000010100
32220001201121101200
41002300331300110
54243223211431
6303052152500
736520652205
oct10260756024
92801647350
101120132116
11525315924
12273168730
1314b0ac28c
14a8a9d5ac
1568510ee6
hex42c3dc14

1120132116 has 36 divisors (see below), whose sum is σ = 2835920724. Its totient is φ = 372787200.

The previous prime is 1120132093. The next prime is 1120132133. The reversal of 1120132116 is 6112310211.

It can be written as a sum of positive squares in 2 ways, for example, as 451392516 + 668739600 = 21246^2 + 25860^2 .

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1195 + ... + 47346.

Almost surely, 21120132116 is an apocalyptic number.

It is an amenable number.

1120132116 is an abundant number, since it is smaller than the sum of its proper divisors (1715788608).

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

1120132116 is a wasteful number, since it uses less digits than its factorization.

1120132116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49192 (or 49187 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1120132116 is about 33468.3748634438. The cubic root of 1120132116 is about 1038.5396527856.

Adding to 1120132116 its reverse (6112310211), we get a palindrome (7232442327).

The spelling of 1120132116 in words is "one billion, one hundred twenty million, one hundred thirty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 641 1282 1923 2564 3846 5769 7692 11538 23076 48541 97082 145623 194164 291246 436869 582492 873738 1747476 31114781 62229562 93344343 124459124 186688686 280033029 373377372 560066058 1120132116