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320134102110 = 232537166357809
BaseRepresentation
bin1001010100010010111…
…10101011110001011110
31010121022200210101111200
410222021132223301132
520221113312231420
6403022332500330
732062135653444
oct4521136536136
91117280711450
10320134102110
1111384a39a209
125206431a6a6
132425b22a1b4
14116cd174b94
1584da0b8b90
hex4a897abc5e

320134102110 has 96 divisors (see below), whose sum is σ = 855373409280. Its totient is φ = 83010438144.

The previous prime is 320134102051. The next prime is 320134102177. The reversal of 320134102110 is 11201431023.

320134102110 is a `hidden beast` number, since 32 + 0 + 13 + 410 + 211 + 0 = 666.

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, 5508886 + ... + 5566694.

It is an arithmetic number, because the mean of its divisors is an integer number (8910139680).

Almost surely, 2320134102110 is an apocalyptic number.

320134102110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 320134102110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427686704640).

320134102110 is an abundant number, since it is smaller than the sum of its proper divisors (535239307170).

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

320134102110 is a wasteful number, since it uses less digits than its factorization.

320134102110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59522 (or 59519 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 320134102110 its reverse (11201431023), we get a palindrome (331335533133).

The spelling of 320134102110 in words is "three hundred twenty billion, one hundred thirty-four million, one hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1663 1665 3326 3330 4989 8315 9978 14967 16630 24945 29934 49890 57809 61531 74835 115618 123062 149670 173427 184593 289045 307655 346854 369186 520281 553779 578090 615310 867135 922965 1040562 1107558 1734270 1845930 2138933 2601405 2768895 4277866 5202810 5537790 6416799 10694665 12833598 19250397 21389330 32083995 38500794 64167990 96136367 96251985 192272734 192503970 288409101 480681835 576818202 865227303 961363670 1442045505 1730454606 2884091010 3557045579 4326136515 7114091158 8652273030 10671136737 17785227895 21342273474 32013410211 35570455790 53355683685 64026820422 106711367370 160067051055 320134102110