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13302212010120 = 23325113359144447
BaseRepresentation
bin1100000110010010100110…
…0111110010000010001000
31202002200100000201022110100
43001210221213302002020
53220420412233310440
644142541332445400
72542024133324115
oct301445147620210
952080300638410
1013302212010120
114269488989a30
1215aa083a79860
13756515b62147
1433db8ac4d90c
1518104b136230
hexc19299f2088

13302212010120 has 96 divisors (see below), whose sum is σ = 47162388049920. Its totient is φ = 3224778668160.

The previous prime is 13302212010097. The next prime is 13302212010127. The reversal of 13302212010120 is 2101021220331.

13302212010120 is a `hidden beast` number, since 1 + 330 + 2 + 212 + 0 + 1 + 0 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13302212010093 and 13302212010102.

It is not an unprimeable number, because it can be changed into a prime (13302212010127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1679568264 + ... + 1679576183.

It is an arithmetic number, because the mean of its divisors is an integer number (491274875520).

Almost surely, 213302212010120 is an apocalyptic number.

13302212010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13302212010120 is an abundant number, since it is smaller than the sum of its proper divisors (33860176039800).

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

13302212010120 is a wasteful number, since it uses less digits than its factorization.

13302212010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359144475 (or 3359144468 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13302212010120 its reverse (2101021220331), we get a palindrome (15403233230451).

The spelling of 13302212010120 in words is "thirteen trillion, three hundred two billion, two hundred twelve million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 3359144447 6718288894 10077433341 13436577788 16795722235 20154866682 26873155576 30232300023 33591444470 36950588917 40309733364 50387166705 60464600046 67182888940 73901177834 80619466728 100774333410 110851766751 120929200092 134365777880 147802355668 151161500115 184752944585 201548666820 221703533502 241858400184 295604711336 302323000230 332555300253 369505889170 403097333640 443407067004 554258833755 604646000460 665110600506 739011778340 886814134008 1108517667510 1209292000920 1330221201012 1478023556680 1662776501265 2217035335020 2660442402024 3325553002530 4434070670040 6651106005060 13302212010120