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1130013030 = 235192151691
BaseRepresentation
bin100001101011010…
…1010000101100110
32220202022121110110
41003112222011212
54303240404110
6304044033450
740000644426
oct10326520546
92822277413
101130013030
1152a954573
12276532886
1315015b883
14aa112486
1569313a20
hex435aa166

1130013030 has 96 divisors (see below), whose sum is σ = 2885407488. Its totient is φ = 283176000.

The previous prime is 1130013019. The next prime is 1130013061. The reversal of 1130013030 is 303100311.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1130012997 and 1130013015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1634985 + ... + 1635675.

It is an arithmetic number, because the mean of its divisors is an integer number (30056328).

Almost surely, 21130013030 is an apocalyptic number.

1130013030 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 1130013030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442703744).

1130013030 is an abundant number, since it is smaller than the sum of its proper divisors (1755394458).

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

1130013030 is a wasteful number, since it uses less digits than its factorization.

1130013030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1130013030 is about 33615.6664369457. Note that the first 3 decimals coincide. The cubic root of 1130013030 is about 1041.5844407700.

Adding to 1130013030 its reverse (303100311), we get a palindrome (1433113341).

The spelling of 1130013030 in words is "one billion, one hundred thirty million, thirteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 151 190 285 302 361 453 570 691 722 755 906 1083 1382 1510 1805 2073 2166 2265 2869 3455 3610 4146 4530 5415 5738 6910 8607 10365 10830 13129 14345 17214 20730 26258 28690 39387 43035 54511 65645 78774 86070 104341 109022 131290 163533 196935 208682 249451 272555 313023 327066 393870 498902 521705 545110 626046 748353 817665 1043410 1247255 1496706 1565115 1635330 1982479 2494510 3130230 3741765 3964958 5947437 7483530 9912395 11894874 19824790 29737185 37667101 59474370 75334202 113001303 188335505 226002606 376671010 565006515 1130013030