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13322322200 = 23521123263287
BaseRepresentation
bin11000110100001001…
…01000000100011000
31021101110022002101202
430122010220010120
5204241003302300
610041543333332
7651065604335
oct143204500430
937343262352
1013322322200
115717115940
1226b9751248
1313440b6bb5
149054ad98c
1552e8bead5
hex31a128118

13322322200 has 96 divisors (see below), whose sum is σ = 35259528960. Its totient is φ = 4633833600.

The previous prime is 13322322193. The next prime is 13322322227. The reversal of 13322322200 is 222322331.

It is a super-2 number, since 2×133223222002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81044 + ... + 182243.

It is an arithmetic number, because the mean of its divisors is an integer number (367286760).

Almost surely, 213322322200 is an apocalyptic number.

13322322200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13322322200 is an abundant number, since it is smaller than the sum of its proper divisors (21937206760).

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

13322322200 is a wasteful number, since it uses less digits than its factorization.

13322322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263337 (or 263328 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 13322322200 its reverse (222322331), we get a palindrome (13544644531).

The spelling of 13322322200 in words is "thirteen billion, three hundred twenty-two million, three hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 184 200 220 230 253 275 440 460 506 550 575 920 1012 1100 1150 1265 2024 2200 2300 2530 4600 5060 6325 10120 12650 25300 50600 263287 526574 1053148 1316435 2106296 2632870 2896157 5265740 5792314 6055601 6582175 10531480 11584628 12111202 13164350 14480785 23169256 24222404 26328700 28961570 30278005 48444808 52657400 57923140 60556010 66611611 72403925 115846280 121112020 133223222 144807850 151390025 242224040 266446444 289615700 302780050 333058055 532892888 579231400 605560100 666116110 1211120200 1332232220 1665290275 2664464440 3330580550 6661161100 13322322200