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13310322213320 = 23511222691212017
BaseRepresentation
bin1100000110110000110100…
…0001110000000111001000
31202010110021020111022201122
43001230031001300013020
53221034014441311240
644150402210334412
72542432123033316
oct301541501600710
952113236438648
1013310322213320
11427196a987700
1215ab767b8a408
1375720917bc52
1434031a0030b6
1518137314e4b5
hexc1b0d0701c8

13310322213320 has 96 divisors (see below), whose sum is σ = 32932831894200. Its totient is φ = 4837980026880.

The previous prime is 13310322213319. The next prime is 13310322213341. The reversal of 13310322213320 is 2331222301331.

It can be written as a sum of positive squares in 4 ways, for example, as 7831904490916 + 5478417722404 = 2798554^2 + 2340602^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13310322213320.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10375952 + ... + 11587968.

Almost surely, 213310322213320 is an apocalyptic number.

13310322213320 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 13310322213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16466415947100).

13310322213320 is an abundant number, since it is smaller than the sum of its proper divisors (19622509680880).

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

13310322213320 is a wasteful number, since it uses less digits than its factorization.

13310322213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214319 (or 1214304 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 13310322213320 its reverse (2331222301331), we get a palindrome (15641544514651).

The spelling of 13310322213320 in words is "thirteen trillion, three hundred ten billion, three hundred twenty-two million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2269 2420 4538 4840 9076 11345 18152 22690 24959 45380 49918 90760 99836 124795 199672 249590 274549 499180 549098 998360 1098196 1212017 1372745 2196392 2424034 2745490 4848068 5490980 6060085 9696136 10981960 12120170 13332187 24240340 26664374 48480680 53328748 66660935 106657496 133321870 146654057 266643740 293308114 533287480 586616228 733270285 1173232456 1466540570 2750066573 2933081140 5500133146 5866162280 11000266292 13750332865 22000532584 27500665730 30250732303 55001331460 60501464606 110002662920 121002929212 151253661515 242005858424 302507323030 332758055333 605014646060 665516110666 1210029292120 1331032221332 1663790276665 2662064442664 3327580553330 6655161106660 13310322213320