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13011003030300 = 223521112233223817
BaseRepresentation
bin1011110101010101110000…
…1101101011101100011100
31201001211200011122101022020
42331111130031223230130
53201133013233432200
643401101113420140
72512004532665052
oct275253415535434
951054604571266
1013011003030300
114166a32018270
12156175270a650
13734c17404132
1432da434841d2
151786a5623ea0
hexbd55c36bb1c

13011003030300 has 144 divisors (see below), whose sum is σ = 41101048864512. Its totient is φ = 3151602521600.

The previous prime is 13011003030299. The next prime is 13011003030317. The reversal of 13011003030300 is 303030011031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13011003030300.

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, 2423992 + ... + 5647808.

It is an arithmetic number, because the mean of its divisors is an integer number (285423950448).

Almost surely, 213011003030300 is an apocalyptic number.

13011003030300 is a gapful number since it is divisible by the number (10) 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 13011003030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20550524432256).

13011003030300 is an abundant number, since it is smaller than the sum of its proper divisors (28090045834212).

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

13011003030300 is a wasteful number, since it uses less digits than its factorization.

13011003030300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225068 (or 3225061 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 13011003030300 its reverse (303030011031), we get a palindrome (13314033041331).

The spelling of 13011003030300 in words is "thirteen trillion, eleven billion, three million, thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1223 1650 2446 3300 3669 4892 6115 7338 12230 13453 14676 18345 24460 26906 30575 36690 40359 53812 61150 67265 73380 80718 91725 122300 134530 161436 183450 201795 269060 336325 366900 403590 672650 807180 1008975 1345300 2017950 3223817 4035900 6447634 9671451 12895268 16119085 19342902 32238170 35461987 38685804 48357255 64476340 70923974 80595425 96714510 106385961 141847948 161190850 177309935 193429020 212771922 241786275 322381700 354619870 425543844 483572550 531929805 709239740 886549675 967145100 1063859610 1773099350 2127719220 2659649025 3546198700 3942728191 5319298050 7885456382 10638596100 11828184573 15770912764 19713640955 23656369146 39427281910 43370010101 47312738292 59140922865 78854563820 86740020202 98568204775 118281845730 130110030303 173480040404 197136409550 216850050505 236563691460 260220060606 295704614325 394272819100 433700101010 520440121212 591409228650 650550151515 867400202020 1084250252525 1182818457300 1301100303030 2168500505050 2602200606060 3252750757575 4337001010100 6505501515150 13011003030300