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13202111120 = 24511432691297
BaseRepresentation
bin11000100101110100…
…00011101010010000
31021002002002201210112
430102322003222100
5204014220023440
610022011020452
7645106043612
oct142272035220
937062081715
1013202111120
11566527a540
12268543a728
131325217b93
148d353adb2
15524076965
hex312e83a90

13202111120 has 160 divisors (see below), whose sum is σ = 34417975680. Its totient is φ = 4668088320.

The previous prime is 13202111099. The next prime is 13202111123. The reversal of 13202111120 is 2111120231.

It is a junction number, because it is equal to n+sod(n) for n = 13202111095 and 13202111104.

It is not an unprimeable number, because it can be changed into a prime (13202111123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10178312 + ... + 10179608.

It is an arithmetic number, because the mean of its divisors is an integer number (215112348).

Almost surely, 213202111120 is an apocalyptic number.

13202111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13202111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17208987840).

13202111120 is an abundant number, since it is smaller than the sum of its proper divisors (21215864560).

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

13202111120 is a wasteful number, since it uses less digits than its factorization.

13202111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 13202111120 its reverse (2111120231), we get a palindrome (15313231351).

The spelling of 13202111120 in words is "thirteen billion, two hundred two million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 110 172 176 215 220 269 344 430 440 473 538 688 860 880 946 1076 1297 1345 1720 1892 2152 2365 2594 2690 2959 3440 3784 4304 4730 5188 5380 5918 6485 7568 9460 10376 10760 11567 11836 12970 14267 14795 18920 20752 21520 23134 23672 25940 28534 29590 37840 46268 47344 51880 55771 57068 57835 59180 71335 92536 103760 111542 114136 115670 118360 127237 142670 185072 223084 228272 231340 236720 254474 278855 285340 348893 446168 462680 508948 557710 570680 613481 636185 697786 892336 925360 1017896 1115420 1141360 1226962 1272370 1395572 1744465 2035792 2230840 2453924 2544740 2791144 3067405 3488930 3837823 4461680 4907848 5089480 5582288 6134810 6977860 7675646 9815696 10178960 12269620 13955720 15002399 15351292 19189115 24539240 27911440 30004798 30702584 38378230 49078480 60009596 61405168 75011995 76756460 120019192 150023990 153512920 165026389 240038384 300047980 307025840 330052778 600095960 660105556 825131945 1200191920 1320211112 1650263890 2640422224 3300527780 6601055560 13202111120