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13300330120040 = 2357126863174337
BaseRepresentation
bin1100000110001011100101…
…1100111100001101101000
31202002111110212121101120202
43001202321130330031220
53220403034002320130
644142030505211332
72541626402452115
oct301427134741550
952074425541522
1013300330120040
114268702683077
1215a9839790b48
137562a5ccc612
1433da4cd3b90c
15180e8ad04145
hexc18b973c368

13300330120040 has 64 divisors (see below), whose sum is σ = 30348535887360. Its totient is φ = 5244975267840.

The previous prime is 13300330119959. The next prime is 13300330120043. The reversal of 13300330120040 is 4002103300331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13300330119994 and 13300330120021.

It is not an unprimeable number, because it can be changed into a prime (13300330120043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76203752 + ... + 76378088.

It is an arithmetic number, because the mean of its divisors is an integer number (474195873240).

Almost surely, 213300330120040 is an apocalyptic number.

13300330120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300330120040 is an abundant number, since it is smaller than the sum of its proper divisors (17048205767320).

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

13300330120040 is a wasteful number, since it uses less digits than its factorization.

13300330120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201282 (or 201278 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13300330120040 its reverse (4002103300331), we get a palindrome (17302433420371).

The spelling of 13300330120040 in words is "thirteen trillion, three hundred billion, three hundred thirty million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 26863 53726 107452 134315 174337 214904 268630 348674 537260 697348 871685 1074520 1394696 1743370 1907273 3486740 3814546 6973480 7629092 9536365 12377927 15258184 19072730 24755854 38145460 49511708 61889635 76290920 99023416 123779270 247558540 495117080 4683214831 9366429662 18732859324 23416074155 37465718648 46832148310 93664296620 187328593240 332508253001 665016506002 1330033012004 1662541265005 2660066024008 3325082530010 6650165060020 13300330120040