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13310222200 = 23521110756543
BaseRepresentation
bin11000110010101100…
…11101111101111000
31021100121112100022121
430121112131331320
5204224404102300
610040432131024
7650561010352
oct143126357570
937317470277
1013310222200
115710300a40
1226b5696a74
13134173b532
14903a400d2
1552d7ce81a
hex31959df78

13310222200 has 96 divisors (see below), whose sum is σ = 34075676160. Its totient is φ = 4794761600.

The previous prime is 13310222147. The next prime is 13310222207. The reversal of 13310222200 is 222201331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310222207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207129 + ... + 263671.

It is an arithmetic number, because the mean of its divisors is an integer number (354954960).

Almost surely, 213310222200 is an apocalyptic number.

13310222200 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 13310222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17037838080).

13310222200 is an abundant number, since it is smaller than the sum of its proper divisors (20765453960).

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

13310222200 is a wasteful number, since it uses less digits than its factorization.

13310222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56677 (or 56668 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13310222200 its reverse (222201331), we get a palindrome (13532423531).

The spelling of 13310222200 in words is "thirteen billion, three hundred ten million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 107 110 200 214 220 275 428 440 535 550 856 1070 1100 1177 2140 2200 2354 2675 4280 4708 5350 5885 9416 10700 11770 21400 23540 29425 47080 56543 58850 113086 117700 226172 235400 282715 452344 565430 621973 1130860 1243946 1413575 2261720 2487892 2827150 3109865 4975784 5654300 6050101 6219730 11308600 12100202 12439460 15549325 24200404 24878920 30250505 31098650 48400808 60501010 62197300 66551111 121002020 124394600 133102222 151252525 242004040 266204444 302505050 332755555 532408888 605010100 665511110 1210020200 1331022220 1663777775 2662044440 3327555550 6655111100 13310222200