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1130000042112 = 27312239240437
BaseRepresentation
bin10000011100011001010…
…000000100100010000000
311000000201122102210212120
4100130121100010202000
5122003220002321422
62223040450324240
7144432311610114
oct20343120044200
94000648383776
101130000042112
113a6259623727
12163002889680
1382735186596
143c999923744
151e5d95d745c
hex10719404880

1130000042112 has 64 divisors (see below), whose sum is σ = 3001820342400. Its totient is φ = 376634338304.

The previous prime is 1130000042081. The next prime is 1130000042161. The reversal of 1130000042112 is 2112400000311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×11300000421123 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1130000042091 and 1130000042100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4579558 + ... + 4819994.

It is an arithmetic number, because the mean of its divisors is an integer number (46903442850).

Almost surely, 21130000042112 is an apocalyptic number.

1130000042112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1130000042112 is an abundant number, since it is smaller than the sum of its proper divisors (1871820300288).

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

1130000042112 is a wasteful number, since it uses less digits than its factorization.

1130000042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252693 (or 252681 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1130000042112 its reverse (2112400000311), we get a palindrome (3242400042423).

The spelling of 1130000042112 in words is "one trillion, one hundred thirty billion, forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 12239 24478 36717 48956 73434 97912 146868 195824 240437 293736 391648 480874 587472 721311 783296 961748 1174944 1442622 1566592 1923496 2349888 2885244 3846992 4699776 5770488 7693984 11540976 15387968 23081952 30775936 46163904 92327808 2942708443 5885416886 8828125329 11770833772 17656250658 23541667544 35312501316 47083335088 70625002632 94166670176 141250005264 188333340352 282500010528 376666680704 565000021056 1130000042112