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1100321211330 = 2325112101039597
BaseRepresentation
bin10000000000110000010…
…000010100001111000010
310220012010021110222211200
4100000300100110033002
5121011424212230310
62201251450122030
7142331661656505
oct20006020241702
93805107428750
101100321211330
11394709702900
121592bb420316
137c9b54c1953
143b381ddd13c
151d94dc9e9c0
hex100304143c2

1100321211330 has 72 divisors (see below), whose sum is σ = 3144554368956. Its totient is φ = 266744533440.

The previous prime is 1100321211317. The next prime is 1100321211331. The reversal of 1100321211330 is 331121230011.

1100321211330 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 321 + 2 + 11 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 974684282121 + 125636929209 = 987261^2 + 354453^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1100321211331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50508909 + ... + 50530688.

Almost surely, 21100321211330 is an apocalyptic number.

1100321211330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1100321211330 is an abundant number, since it is smaller than the sum of its proper divisors (2044233157626).

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

1100321211330 is a wasteful number, since it uses less digits than its factorization.

1100321211330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101039632 (or 101039618 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1100321211330 its reverse (331121230011), we get a palindrome (1431442441341).

The spelling of 1100321211330 in words is "one trillion, one hundred billion, three hundred twenty-one million, two hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 101039597 202079194 303118791 505197985 606237582 909356373 1010395970 1111435567 1515593955 1818712746 2222871134 3031187910 3334306701 4546781865 5557177835 6668613402 9093563730 10002920103 11114355670 12225791237 16671533505 20005840206 24451582474 33343067010 36677373711 50014600515 61128956185 73354747422 100029201030 110032121133 122257912370 183386868555 220064242266 366773737110 550160605665 1100321211330