Search a number
-
+
1130120019 = 34719234561
BaseRepresentation
bin100001101011100…
…0100001101010011
32220202112001020000
41003113010031103
54303302320034
6304050221043
740001601360
oct10327041523
92822461200
101130120019
1152aa17996
12276584783
13150198492
14aa13d467
1569335599
hex435c4353

1130120019 has 80 divisors (see below), whose sum is σ = 2119687680. Its totient is φ = 585066240.

The previous prime is 1130120011. The next prime is 1130120059. The reversal of 1130120019 is 9100210311.

It is not a de Polignac number, because 1130120019 - 23 = 1130120011 is a prime.

It is a super-2 number, since 2×11301200192 = 2554342514689120722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1130119983 and 1130120010.

It is not an unprimeable number, because it can be changed into a prime (1130120011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 245499 + ... + 250059.

It is an arithmetic number, because the mean of its divisors is an integer number (26496096).

Almost surely, 21130120019 is an apocalyptic number.

1130120019 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1130120019 is a deficient number, since it is larger than the sum of its proper divisors (989567661).

1130120019 is a wasteful number, since it uses less digits than its factorization.

1130120019 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4622 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 1130120019 is about 33617.2577555041. The cubic root of 1130120019 is about 1041.6173119428.

The spelling of 1130120019 in words is "one billion, one hundred thirty million, one hundred twenty thousand, nineteen".

Divisors: 1 3 7 9 19 21 23 27 57 63 69 81 133 161 171 189 207 399 437 483 513 567 621 1197 1311 1449 1539 1863 3059 3591 3933 4347 4561 9177 10773 11799 13041 13683 27531 31927 35397 41049 82593 86659 95781 104903 123147 247779 259977 287343 314709 369441 606613 734321 779931 862029 944127 1819839 1993157 2202963 2339793 2586087 2832381 5459517 5979471 6608889 7019379 8497143 13952099 16378551 17938413 19826667 41856297 49135653 53815239 59480001 125568891 161445717 376706673 1130120019