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1100333130 = 2351319163911
BaseRepresentation
bin100000110010101…
…1100000001001010
32211200110201021220
41001211130001022
54223141130010
6301103542510
736160451211
oct10145340112
92750421256
101100333130
11515122626
122685baa36
13146c694c0
14a61c8078
15668ee970
hex4195c04a

1100333130 has 128 divisors (see below), whose sum is σ = 3015290880. Its totient is φ = 254741760.

The previous prime is 1100333119. The next prime is 1100333131. The reversal of 1100333130 is 313330011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1100333131) 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 63 ways as a sum of consecutive naturals, for example, 1207375 + ... + 1208285.

It is an arithmetic number, because the mean of its divisors is an integer number (23556960).

Almost surely, 21100333130 is an apocalyptic number.

1100333130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100333130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507645440).

1100333130 is an abundant number, since it is smaller than the sum of its proper divisors (1914957750).

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

1100333130 is a wasteful number, since it uses less digits than its factorization.

1100333130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116.

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 1100333130 is about 33171.2696470907. The cubic root of 1100333130 is about 1032.3843120522.

Adding to 1100333130 its reverse (313330011), we get a palindrome (1413663141).

The spelling of 1100333130 in words is "one billion, one hundred million, three hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 163 190 195 247 285 326 390 489 494 570 741 815 911 978 1235 1482 1630 1822 2119 2445 2470 2733 3097 3705 4238 4555 4890 5466 6194 6357 7410 9110 9291 10595 11843 12714 13665 15485 17309 18582 21190 23686 27330 30970 31785 34618 35529 40261 46455 51927 59215 63570 71058 80522 86545 92910 103854 118430 120783 148493 173090 177645 201305 225017 241566 259635 296986 355290 402610 445479 450034 519270 603915 675051 742465 890958 1125085 1207830 1350102 1484930 1930409 2227395 2250170 2821367 3375255 3860818 4454790 5642734 5791227 6750510 8464101 9652045 11582454 14106835 16928202 19304090 28213670 28956135 36677771 42320505 57912270 73355542 84641010 110033313 183388855 220066626 366777710 550166565 1100333130