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1135160130 = 2351319307499
BaseRepresentation
bin100001110101001…
…0010101101000010
32221010000002221210
41003222102231002
54311100111010
6304350230550
740062462516
oct10352225502
92833002853
101135160130
1153284a675
122781b5456
131512415b0
14aaa92146
15699cdb20
hex43a92b42

1135160130 has 128 divisors (see below), whose sum is σ = 3104640000. Its totient is φ = 263326464.

The previous prime is 1135160129. The next prime is 1135160203. The reversal of 1135160130 is 310615311.

It is a junction number, because it is equal to n+sod(n) for n = 1135160097 and 1135160106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2274621 + ... + 2275119.

It is an arithmetic number, because the mean of its divisors is an integer number (24255000).

Almost surely, 21135160130 is an apocalyptic number.

1135160130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135160130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552320000).

1135160130 is an abundant number, since it is smaller than the sum of its proper divisors (1969479870).

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

1135160130 is a wasteful number, since it uses less digits than its factorization.

1135160130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 1135160130 is about 33692.1375101076. The cubic root of 1135160130 is about 1043.1634845051.

Adding to 1135160130 its reverse (310615311), we get a palindrome (1445775441).

The spelling of 1135160130 in words is "one billion, one hundred thirty-five million, one hundred sixty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 307 390 494 499 570 614 741 921 998 1235 1482 1497 1535 1842 2470 2495 2994 3070 3705 3991 4605 4990 5833 6487 7410 7485 7982 9210 9481 11666 11973 12974 14970 17499 18962 19461 19955 23946 28443 29165 32435 34998 38922 39910 47405 56886 58330 59865 64870 75829 87495 94810 97305 119730 123253 142215 151658 153193 174990 194610 227487 246506 284430 306386 369759 379145 454974 459579 616265 739518 758290 765965 919158 1137435 1232530 1531930 1848795 1991509 2274870 2297895 2910667 3697590 3983018 4595790 5821334 5974527 8732001 9957545 11949054 14553335 17464002 19915090 29106670 29872635 37838671 43660005 59745270 75677342 87320010 113516013 189193355 227032026 378386710 567580065 1135160130