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1300330122120 = 2332519190106743
BaseRepresentation
bin10010111011000001101…
…101110000101110001000
311121022101020112101122100
4102323001231300232020
5132301034002401440
62433210255153400
7162642251445501
oct22730155605610
94538336471570
101300330122120
114615154aa897
12190019b15860
139580b610983
1446d1735dba8
1523c57dd4230
hex12ec1b70b88

1300330122120 has 96 divisors (see below), whose sum is σ = 4448497809600. Its totient is φ = 328504450176.

The previous prime is 1300330122019. The next prime is 1300330122137. The reversal of 1300330122120 is 212210330031.

1300330122120 is a `hidden beast` number, since 1 + 300 + 330 + 1 + 22 + 12 + 0 = 666.

It is a super-2 number, since 2×13003301221202 (a number of 25 digits) contains 22 as substring.

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 = 1300330122093 and 1300330122102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95046532 + ... + 95060211.

It is an arithmetic number, because the mean of its divisors is an integer number (46338518850).

Almost surely, 21300330122120 is an apocalyptic number.

1300330122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300330122120 is an abundant number, since it is smaller than the sum of its proper divisors (3148167687480).

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

1300330122120 is a wasteful number, since it uses less digits than its factorization.

1300330122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190106779 (or 190106772 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1300330122120 its reverse (212210330031), we get a palindrome (1512540452151).

The spelling of 1300330122120 in words is "one trillion, three hundred billion, three hundred thirty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 190106743 380213486 570320229 760426972 950533715 1140640458 1520853944 1710960687 1901067430 2281280916 2851601145 3421921374 3612028117 3802134860 4562561832 5703202290 6843842748 7224056234 7604269720 8554803435 10836084351 11406404580 13687685496 14448112468 17109606870 18060140585 21672168702 22812809160 28896224936 32508253053 34219213740 36120281170 43344337404 54180421755 65016506106 68438427480 72240562340 86688674808 108360843510 130033012212 144481124680 162541265265 216721687020 260066024424 325082530530 433443374040 650165061060 1300330122120