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2130532110 = 232575775861
BaseRepresentation
bin111111011111101…
…0101011100001110
312111110222020121200
41332333111130032
513330404011420
6551224410330
7103540136610
oct17677253416
95443866550
102130532110
119a36a2343
124b56169a6
1327c51b0b5
14162d56db0
15c7098b90
hex7efd570e

2130532110 has 96 divisors (see below), whose sum is σ = 6342777792. Its totient is φ = 486051840.

The previous prime is 2130532109. The next prime is 2130532127. The reversal of 2130532110 is 112350312.

2130532110 is a `hidden beast` number, since 2 + 130 + 532 + 1 + 1 + 0 = 666.

2130532110 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360580 + ... + 366440.

It is an arithmetic number, because the mean of its divisors is an integer number (66070602).

Almost surely, 22130532110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130532110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171388896).

2130532110 is an abundant number, since it is smaller than the sum of its proper divisors (4212245682).

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

2130532110 is a wasteful number, since it uses less digits than its factorization.

2130532110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6458 (or 6455 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2130532110 is about 46157.6874420719. The cubic root of 2130532110 is about 1286.7554844711.

Adding to 2130532110 its reverse (112350312), we get a palindrome (2242882422).

The spelling of 2130532110 in words is "two billion, one hundred thirty million, five hundred thirty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 577 630 1154 1731 2885 3462 4039 5193 5770 5861 8078 8655 10386 11722 12117 17310 17583 20195 24234 25965 29305 35166 36351 40390 41027 51930 52749 58610 60585 72702 82054 87915 105498 121170 123081 175830 181755 205135 246162 263745 363510 369243 410270 527490 615405 738486 1230810 1846215 3381797 3692430 6763594 10145391 16908985 20290782 23672579 30436173 33817970 47345158 50726955 60872346 71017737 101453910 118362895 142035474 152180865 213053211 236725790 304361730 355088685 426106422 710177370 1065266055 2130532110