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1130443433333 = 17192461463863
BaseRepresentation
bin10000011100110011101…
…011011110010101110101
311000001212112202102021122
4100130303223132111311
5122010122004331313
62223152445553325
7144446304432644
oct20346353362565
94001775672248
101130443433333
113a6466936055
12163107275845
13827a5cab156
143c9dc78135b
151e6134bc708
hex10733ade575

1130443433333 has 48 divisors (see below), whose sum is σ = 1270197282816. Its totient is φ = 1002427937280.

The previous prime is 1130443433309. The next prime is 1130443433377. The reversal of 1130443433333 is 3333343440311.

It is a de Polignac number, because none of the positive numbers 2k-1130443433333 is a prime.

It is a super-3 number, since 3×11304434333333 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1130443433293 and 1130443433302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130443433233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1309899260 + ... + 1309900122.

It is an arithmetic number, because the mean of its divisors is an integer number (26462443392).

Almost surely, 21130443433333 is an apocalyptic number.

It is an amenable number.

1130443433333 is a deficient number, since it is larger than the sum of its proper divisors (139753849483).

1130443433333 is a wasteful number, since it uses less digits than its factorization.

1130443433333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 35.

Adding to 1130443433333 its reverse (3333343440311), we get a palindrome (4463786873644).

The spelling of 1130443433333 in words is "one trillion, one hundred thirty billion, four hundred forty-three million, four hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 17 19 323 361 461 463 863 6137 7837 7871 8759 8797 14671 16397 148903 149549 166421 167143 213443 278749 311543 397843 399569 2829157 2841431 3628531 4055417 5296231 6763331 6792673 7559017 7591811 68942089 77052923 128503289 129060787 143621323 144244409 184201309 1309899691 2441562491 2452154953 3131422253 3499824871 59497022807 66496672549 1130443433333