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12033113130 = 2325592419403
BaseRepresentation
bin10110011010011101…
…01011110000101010
31011001121102111000200
423031032223300222
5144120434110010
65310011213030
7604122526323
oct131516536052
934047374020
1012033113130
115115418aa5
1223b9a47176
131199c897ac
1482219b44a
154a6611cc0
hex2cd3abc2a

12033113130 has 96 divisors (see below), whose sum is σ = 31951782720. Its totient is φ = 3141020160.

The previous prime is 12033113129. The next prime is 12033113177. The reversal of 12033113130 is 3131133021.

It is a happy number.

12033113130 is a `hidden beast` number, since 1 + 20 + 331 + 1 + 313 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1275009 + ... + 1284411.

It is an arithmetic number, because the mean of its divisors is an integer number (332831070).

Almost surely, 212033113130 is an apocalyptic number.

12033113130 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 12033113130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15975891360).

12033113130 is an abundant number, since it is smaller than the sum of its proper divisors (19918669590).

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

12033113130 is a wasteful number, since it uses less digits than its factorization.

12033113130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9716 (or 9713 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12033113130 its reverse (3131133021), we get a palindrome (15164246151).

The spelling of 12033113130 in words is "twelve billion, thirty-three million, one hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 241 295 354 482 531 590 723 885 1062 1205 1446 1770 2169 2410 2655 3615 4338 5310 7230 9403 10845 14219 18806 21690 28209 28438 42657 47015 56418 71095 84627 85314 94030 127971 141045 142190 169254 213285 255942 282090 423135 426570 554777 639855 846270 1109554 1279710 1664331 2266123 2773885 3328662 4532246 4992993 5547770 6798369 8321655 9985986 11330615 13596738 16643310 20395107 22661230 24964965 33991845 40790214 49929930 67983690 101975535 133701257 203951070 267402514 401103771 668506285 802207542 1203311313 1337012570 2005518855 2406622626 4011037710 6016556565 12033113130