Search a number
-
+
1130031012 = 2231141593539
BaseRepresentation
bin100001101011010…
…1110011110100100
32220202100112010110
41003112232132210
54303241443022
6304044253020
740001051025
oct10326563644
92822315113
101130031012
1152a967030
12276541170
13150166b06
14aa118c4c
156931900c
hex435ae7a4

1130031012 has 96 divisors (see below), whose sum is σ = 2997388800. Its totient is φ = 328326400.

The previous prime is 1130030989. The next prime is 1130031029. The reversal of 1130031012 is 2101300311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317539 + ... + 321077.

It is an arithmetic number, because the mean of its divisors is an integer number (31222800).

Almost surely, 21130031012 is an apocalyptic number.

1130031012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130031012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498694400).

1130031012 is an abundant number, since it is smaller than the sum of its proper divisors (1867357788).

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

1130031012 is a wasteful number, since it uses less digits than its factorization.

1130031012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1130031012 is about 33615.9339004586. The cubic root of 1130031012 is about 1041.5899656833.

Adding to 1130031012 its reverse (2101300311), we get a palindrome (3231331323).

The spelling of 1130031012 in words is "one billion, one hundred thirty million, thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 59 66 82 118 123 132 164 177 236 246 354 451 492 649 708 902 1298 1353 1804 1947 2419 2596 2706 3539 3894 4838 5412 7078 7257 7788 9676 10617 14156 14514 21234 26609 29028 38929 42468 53218 77858 79827 106436 116787 145099 155716 159654 208801 233574 290198 319308 417602 435297 467148 580396 626403 835204 870594 1252806 1596089 1741188 2296811 2505612 3192178 4593622 4788267 6384356 6890433 8560841 9187244 9576534 13780866 17121682 19153068 25682523 27561732 34243364 51365046 94169251 102730092 188338502 282507753 376677004 565015506 1130031012