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1130003032113 = 322935069123457
BaseRepresentation
bin10000011100011001011…
…011011110100000110001
311000000201212001201101100
4100130121123132200301
5122003221234011423
62223041034355013
7144432346202244
oct20343133364061
94000655051340
101130003032113
113a62602860aa
1216300388ba69
1382735992507
143c99a0a125b
151e5d99c8343
hex107196de831

1130003032113 has 24 divisors (see below), whose sum is σ = 1688572103400. Its totient is φ = 727331641344.

The previous prime is 1130003032111. The next prime is 1130003032127. The reversal of 1130003032113 is 3112303000311.

It is a happy number.

1130003032113 is a `hidden beast` number, since 1 + 1 + 300 + 0 + 30 + 321 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 889518718449 + 240484313664 = 943143^2 + 490392^2 .

It is not a de Polignac number, because 1130003032113 - 21 = 1130003032111 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1130003032111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9091281 + ... + 9214737.

It is an arithmetic number, because the mean of its divisors is an integer number (70357170975).

Almost surely, 21130003032113 is an apocalyptic number.

It is an amenable number.

1130003032113 is a deficient number, since it is larger than the sum of its proper divisors (558569071287).

1130003032113 is a wasteful number, since it uses less digits than its factorization.

1130003032113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158561 (or 158558 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1130003032113 its reverse (3112303000311), we get a palindrome (4242306032424).

The spelling of 1130003032113 in words is "one trillion, one hundred thirty billion, three million, thirty-two thousand, one hundred thirteen".

Divisors: 1 3 9 29 87 261 35069 105207 123457 315621 370371 1017001 1111113 3051003 3580253 9153009 10740759 32222277 4329513533 12988540599 38965621797 125555892457 376667677371 1130003032113