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1115116002 = 23271113199311
BaseRepresentation
bin100001001110111…
…0101000111100010
32212201021202120200
41002131311013202
54240432203002
6302352450030
736430221030
oct10235650742
92781252520
101115116002
115224aa180
12271549916
1314a044070
14a8155550
1567d6eb1c
hex427751e2

1115116002 has 192 divisors, whose sum is σ = 3270758400. Its totient is φ = 265161600.

The previous prime is 1115116001. The next prime is 1115116063. The reversal of 1115116002 is 2006115111.

It is a happy number.

1115116002 is a `hidden beast` number, since 1 + 11 + 51 + 1 + 600 + 2 = 666.

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 (1115116001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3585427 + ... + 3585737.

It is an arithmetic number, because the mean of its divisors is an integer number (17035200).

Almost surely, 21115116002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1115116002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635379200).

1115116002 is an abundant number, since it is smaller than the sum of its proper divisors (2155642398).

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

1115116002 is a wasteful number, since it uses less digits than its factorization.

1115116002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The square root of 1115116002 is about 33393.3526618697. The cubic root of 1115116002 is about 1036.9870892321.

The spelling of 1115116002 in words is "one billion, one hundred fifteen million, one hundred sixteen thousand, two".