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13122303212214 = 2337891748922303
BaseRepresentation
bin1011111011110100011000…
…1110001011101010110110
31201110110221212120102222000
42332331012032023222312
53204443434110242324
643524145230520130
72523024622634250
oct276750616135266
951413855512860
1013122303212214
1141aa15707a289
12157b234966046
137425740a0a41
143351a11d4cd0
1517b51b9459c9
hexbef4638bab6

13122303212214 has 128 divisors (see below), whose sum is σ = 33704377344000. Its totient is φ = 3706725141504.

The previous prime is 13122303212203. The next prime is 13122303212231. The reversal of 13122303212214 is 41221230322131.

13122303212214 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 230 + 3 + 212 + 214 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 588353787 + ... + 588376089.

It is an arithmetic number, because the mean of its divisors is an integer number (263315448000).

Almost surely, 213122303212214 is an apocalyptic number.

13122303212214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13122303212214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16852188672000).

13122303212214 is an abundant number, since it is smaller than the sum of its proper divisors (20582074131786).

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

13122303212214 is a wasteful number, since it uses less digits than its factorization.

13122303212214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39899 (or 39893 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13122303212214 its reverse (41221230322131), we get a palindrome (54343533534345).

The spelling of 13122303212214 in words is "thirteen trillion, one hundred twenty-two billion, three hundred three million, two hundred twelve thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 89 126 178 189 267 378 534 623 801 1246 1602 1869 2403 3738 4806 5607 11214 16821 17489 22303 33642 34978 44606 52467 66909 104934 122423 133818 156121 157401 200727 244846 312242 314802 367269 401454 468363 472203 602181 734538 936726 944406 1101807 1204362 1405089 1556521 1984967 2203614 2810178 3113042 3305421 3969934 4215267 4669563 5954901 6610842 8430534 9339126 10895647 11909802 13894769 14008689 17864703 21791294 27789538 28017378 32686941 35729406 41684307 42026067 53594109 65373882 83368614 84052134 98060823 107188218 125052921 196121646 250105842 294182469 375158763 390057167 588364938 750317526 780114334 1170171501 2340343002 2730400169 3510514503 5460800338 7021029006 8191200507 10531543509 16382401014 21063087018 24573601521 34715087863 49147203042 69430175726 73720804563 104145263589 147441609126 208290527178 243005615041 312435790767 486011230082 624871581534 729016845123 937307372301 1458033690246 1874614744602 2187050535369 4374101070738 6561151606107 13122303212214