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13362222330 = 23253134913723
BaseRepresentation
bin11000111000111001…
…10101010011111010
31021111020101020002100
430130130311103322
5204331212103310
610045530444230
7652062005262
oct143434652372
937436336070
1013362222330
115737698456
12270ab93676
13134c447142
1490a8d87a2
15533151ec0
hex31c7354fa

13362222330 has 96 divisors (see below), whose sum is σ = 35967859200. Its totient is φ = 3438184320.

The previous prime is 13362222317. The next prime is 13362222371. The reversal of 13362222330 is 3322226331.

13362222330 is a `hidden beast` number, since 1 + 3 + 3 + 622 + 2 + 2 + 3 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13362222294 and 13362222303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 966849 + ... + 980571.

It is an arithmetic number, because the mean of its divisors is an integer number (374665200).

Almost surely, 213362222330 is an apocalyptic number.

13362222330 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 13362222330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17983929600).

13362222330 is an abundant number, since it is smaller than the sum of its proper divisors (22605636870).

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

13362222330 is a wasteful number, since it uses less digits than its factorization.

13362222330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14116 (or 14113 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13362222330 its reverse (3322226331), we get a palindrome (16684448661).

The spelling of 13362222330 in words is "thirteen billion, three hundred sixty-two million, two hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 349 465 558 698 930 1047 1395 1745 2094 2790 3141 3490 5235 6282 10470 10819 13723 15705 21638 27446 31410 32457 41169 54095 64914 68615 82338 97371 108190 123507 137230 162285 194742 205845 247014 324570 411690 425413 486855 617535 850826 973710 1235070 1276239 2127065 2552478 3828717 4254130 4789327 6381195 7657434 9578654 12762390 14367981 19143585 23946635 28735962 38287170 43103943 47893270 71839905 86207886 143679810 148469137 215519715 296938274 431039430 445407411 742345685 890814822 1336222233 1484691370 2227037055 2672444466 4454074110 6681111165 13362222330