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13523352220 = 22572196311151
BaseRepresentation
bin11001001100000110…
…11111101010011100
31021220110120110202001
430212003133222130
5210143434232340
610113524212044
7656056411600
oct144603375234
937813513661
1013523352220
11580a641754
122754b3a024
131376941c81
1492407d500
1554237e29a
hex3260dfa9c

13523352220 has 144 divisors (see below), whose sum is σ = 34859704320. Its totient is φ = 4381776000.

The previous prime is 13523352191. The next prime is 13523352223. The reversal of 13523352220 is 2225332531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13523352223) 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, 11748645 + ... + 11749795.

It is an arithmetic number, because the mean of its divisors is an integer number (242081280).

Almost surely, 213523352220 is an apocalyptic number.

13523352220 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 13523352220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17429852160).

13523352220 is an abundant number, since it is smaller than the sum of its proper divisors (21336352100).

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

13523352220 is a wasteful number, since it uses less digits than its factorization.

13523352220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

Adding to 13523352220 its reverse (2225332531), we get a palindrome (15748684751).

The spelling of 13523352220 in words is "thirteen billion, five hundred twenty-three million, three hundred fifty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 490 532 631 665 931 980 1151 1262 1330 1862 2302 2524 2660 3155 3724 4417 4604 4655 5755 6310 8057 8834 9310 11510 11989 12620 16114 17668 18620 21869 22085 23020 23978 30919 32228 40285 43738 44170 47956 56399 59945 61838 80570 83923 87476 88340 109345 112798 119890 123676 153083 154595 161140 167846 218690 225596 239780 281995 306166 309190 335692 419615 437380 563990 587461 612332 618380 726281 765415 839230 1071581 1127980 1174922 1452562 1530830 1678460 2143162 2349844 2905124 2937305 3061660 3631405 4286324 5083967 5357905 5874610 7262810 10167934 10715810 11749220 13799339 14525620 20335868 21431620 25419835 27598678 35587769 50839670 55197356 68996695 71175538 96595373 101679340 137993390 142351076 177938845 193190746 275986780 355877690 386381492 482976865 676167611 711755380 965953730 1352335222 1931907460 2704670444 3380838055 6761676110 13523352220