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1331200101330 = 2325112294215193
BaseRepresentation
bin10011010111110001101…
…101011000101111010010
311201021001121211211010200
4103113301231120233102
5133302244211220310
62455313410040030
7165114244110051
oct23276155305722
94637047754120
101331200101330
11473616831100
12195bb4279016
13986bacbab68
144860514c398
15249630a99c0
hex135f1b58bd2

1331200101330 has 144 divisors (see below), whose sum is σ = 3935558030040. Its totient is φ = 311586992640.

The previous prime is 1331200101289. The next prime is 1331200101367. The reversal of 1331200101330 is 331010021331.

It is a happy number.

1331200101330 is a `hidden beast` number, since 1 + 3 + 31 + 200 + 101 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1320111379521 + 11088721809 = 1148961^2 + 105303^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1791787 + ... + 2423406.

Almost surely, 21331200101330 is an apocalyptic number.

1331200101330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1331200101330 is an abundant number, since it is smaller than the sum of its proper divisors (2604357928710).

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

1331200101330 is a wasteful number, since it uses less digits than its factorization.

1331200101330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4215257 (or 4215243 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1331200101330 its reverse (331010021331), we get a palindrome (1662210122661).

The spelling of 1331200101330 in words is "one trillion, three hundred thirty-one billion, two hundred million, one hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 29 30 33 45 55 58 66 87 90 99 110 121 145 165 174 198 242 261 290 319 330 363 435 495 522 605 638 726 870 957 990 1089 1210 1305 1595 1815 1914 2178 2610 2871 3190 3509 3630 4785 5445 5742 7018 9570 10527 10890 14355 17545 21054 28710 31581 35090 52635 63162 105270 157905 315810 4215193 8430386 12645579 21075965 25291158 37936737 42151930 46367123 63227895 75873474 92734246 122240597 126455790 139101369 189683685 231835615 244481194 278202738 366721791 379367370 417304107 463671230 510038353 611202985 695506845 733443582 834608214 1020076706 1100165373 1222405970 1344646567 1391013690 1530115059 1833608955 2086520535 2200330746 2550191765 2689293134 3060230118 3667217910 4033939701 4173041070 4590345177 5100383530 5500826865 6723232835 7650575295 8067879402 9180690354 11001653730 12101819103 13446465670 14791112237 15301150590 20169698505 22951725885 24203638206 29582224474 40339397010 44373336711 45903451770 60509095515 73955561185 88746673422 121018191030 133120010133 147911122370 221866683555 266240020266 443733367110 665600050665 1331200101330