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13132222110 = 2325725183047
BaseRepresentation
bin11000011101011110…
…11100111010011110
31020220012121000002200
430032233130322132
5203343322101420
610011033032330
7643300021560
oct141657347236
936805530080
1013132222110
115629884927
122665b556a6
1313138b7a37
148c8147330
1551cd6db90
hex30ebdce9e

13132222110 has 96 divisors (see below), whose sum is σ = 39177395712. Its totient is φ = 2989656000.

The previous prime is 13132222109. The next prime is 13132222111. The reversal of 13132222110 is 1122223131.

13132222110 is a `hidden beast` number, since 131 + 322 + 2 + 211 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13132222109) and next prime (13132222111).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132222111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116607 + ... + 199653.

It is an arithmetic number, because the mean of its divisors is an integer number (408097872).

Almost surely, 213132222110 is an apocalyptic number.

13132222110 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 13132222110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19588697856).

13132222110 is an abundant number, since it is smaller than the sum of its proper divisors (26045173602).

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

13132222110 is a wasteful number, since it uses less digits than its factorization.

13132222110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83318 (or 83315 counting only the distinct ones).

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

Adding to 13132222110 its reverse (1122223131), we get a palindrome (14254445241).

The spelling of 13132222110 in words is "thirteen billion, one hundred thirty-two million, two hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 251 315 502 630 753 1255 1506 1757 2259 2510 3514 3765 4518 5271 7530 8785 10542 11295 15813 17570 22590 26355 31626 52710 79065 83047 158130 166094 249141 415235 498282 581329 747423 830470 1162658 1245705 1494846 1743987 2491410 2906645 3487974 3737115 5231961 5813290 7474230 8719935 10463922 17439870 20844797 26159805 41689594 52319610 62534391 104223985 125068782 145913579 187603173 208447970 291827158 312671955 375206346 437740737 625343910 729567895 875481474 938015865 1313222211 1459135790 1876031730 2188703685 2626444422 4377407370 6566111055 13132222110