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110132130330 = 2345257529049
BaseRepresentation
bin110011010010001100…
…0101111001000011010
3101112021022000220010000
41212210120233020122
53301022311132310
6122332145433430
710646114443035
oct1464430571032
9345238026100
10110132130330
1142785797632
121941703b876
13a5019b0231
14548a97a01c
152ce89e74c0
hex19a462f21a

110132130330 has 80 divisors (see below), whose sum is σ = 297285892200. Its totient is φ = 29254238208.

The previous prime is 110132130307. The next prime is 110132130379. The reversal of 110132130330 is 33031231011.

It is a happy number.

110132130330 is a `hidden beast` number, since 1 + 10 + 1 + 321 + 3 + 0 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 104550695649 + 5581434681 = 323343^2 + 74709^2 .

It is a super-2 number, since 2×1101321303302 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 56355 + ... + 472694.

Almost surely, 2110132130330 is an apocalyptic number.

110132130330 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 110132130330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148642946100).

110132130330 is an abundant number, since it is smaller than the sum of its proper divisors (187153761870).

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

110132130330 is a wasteful number, since it uses less digits than its factorization.

110132130330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529325 (or 529316 counting only the distinct ones).

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

Adding to 110132130330 its reverse (33031231011), we get a palindrome (143163361341).

The spelling of 110132130330 in words is "one hundred ten billion, one hundred thirty-two million, one hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 257 270 405 514 771 810 1285 1542 2313 2570 3855 4626 6939 7710 11565 13878 20817 23130 34695 41634 69390 104085 208170 529049 1058098 1587147 2645245 3174294 4761441 5290490 7935735 9522882 14284323 15871470 23807205 28568646 42852969 47614410 71421615 85705938 135965593 142843230 214264845 271931186 407896779 428529690 679827965 815793558 1223690337 1359655930 2039483895 2447380674 3671071011 4078967790 6118451685 7342142022 11013213033 12236903370 18355355055 22026426066 36710710110 55066065165 110132130330