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13311223222240 = 255175836983843
BaseRepresentation
bin1100000110110100001010…
…1110110100111111100000
31202010112121000220022121101
43001231002232310333200
53221042341121102430
644151031434204144
72542463343343426
oct301550256647740
952115530808541
1013311223222240
114272292538a79
1215ab979883654
13757320a39918
143403a3943116
151813c72c9dca
hexc1b42bb4fe0

13311223222240 has 96 divisors (see below), whose sum is σ = 33298601001120. Its totient is φ = 5011138412544.

The previous prime is 13311223222211. The next prime is 13311223222247. The reversal of 13311223222240 is 4222232211331.

It is a happy number.

13311223222240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13311223222199 and 13311223222208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311223222247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158721759 + ... + 158805601.

It is an arithmetic number, because the mean of its divisors is an integer number (346860427095).

Almost surely, 213311223222240 is an apocalyptic number.

13311223222240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311223222240 is an abundant number, since it is smaller than the sum of its proper divisors (19987377778880).

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

13311223222240 is a wasteful number, since it uses less digits than its factorization.

13311223222240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142244 (or 142236 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13311223222240 its reverse (4222232211331), we get a palindrome (17533455433571).

The spelling of 13311223222240 in words is "thirteen trillion, three hundred eleven billion, two hundred twenty-three million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 58369 83843 116738 167686 233476 291845 335372 419215 466952 583690 670744 838430 933904 992273 1167380 1341488 1425331 1676860 1867808 1984546 2334760 2682976 2850662 3353720 3969092 4669520 4961365 5701324 6707440 7126655 7938184 9339040 9922730 11402648 13414880 14253310 15876368 19845460 22805296 28506620 31752736 39690920 45610592 57013240 79381840 114026480 158763680 228052960 4893832067 9787664134 19575328268 24469160335 39150656536 48938320670 78301313072 83195145139 97876641340 156602626144 166390290278 195753282680 332780580556 391506565360 415975725695 665561161112 783013130720 831951451390 1331122322224 1663902902780 2662244644448 3327805805560 6655611611120 13311223222240