Search a number
-
+
130441111002312 = 233113896869184913
BaseRepresentation
bin11101101010001010110000…
…000101011101110011001000
3122002212001022022011221220220
4131222022300011131303020
5114044121343404033222
61141231452533350040
736322026221312205
oct3552126005356310
9562761268157826
10130441111002312
11386208456280a0
1212768440198320
1357a270c1a95a6
14242d5522d2cac
151013115284b5c
hex76a2b015dcc8

130441111002312 has 128 divisors (see below), whose sum is σ = 356716857744000. Its totient is φ = 39420043120640.

The previous prime is 130441111002199. The next prime is 130441111002313. The reversal of 130441111002312 is 213200111144031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (130441111002313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705326368 + ... + 705511280.

It is an arithmetic number, because the mean of its divisors is an integer number (2786850451125).

Almost surely, 2130441111002312 is an apocalyptic number.

130441111002312 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 130441111002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178358428872000).

130441111002312 is an abundant number, since it is smaller than the sum of its proper divisors (226275746741688).

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

130441111002312 is a wasteful number, since it uses less digits than its factorization.

130441111002312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192191 (or 192187 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 130441111002312 its reverse (213200111144031), we get a palindrome (343641222146343).

The spelling of 130441111002312 in words is "one hundred thirty trillion, four hundred forty-one billion, one hundred eleven million, two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 389 778 1167 1556 2334 3112 4279 4668 6869 8558 9336 12837 13738 17116 20607 25674 27476 34232 41214 51348 54952 75559 82428 102696 151118 164856 184913 226677 302236 369826 453354 554739 604472 739652 906708 1109478 1479304 1813416 2034043 2218956 2672041 4068086 4437912 5344082 6102129 8016123 8136172 10688164 12204258 16032246 16272344 21376328 24408516 29392451 32064492 48817032 58784902 64128984 71931157 88177353 117569804 143862314 176354706 215793471 235139608 287724628 352709412 431586942 575449256 705418824 791242727 863173884 1270167397 1582485454 1726347768 2373728181 2540334794 3164970908 3810502191 4747456362 5080669588 6329941816 7621004382 9494912724 10161339176 13971841367 15242008764 18989825448 27943682734 30484017528 41915524101 55887365468 83831048202 111774730936 167662096404 335324192808 494095117433 988190234866 1482285352299 1976380469732 2964570704598 3952760939464 5435046291763 5929141409196 10870092583526 11858282818392 16305138875289 21740185167052 32610277750578 43480370334104 65220555501156 130441111002312