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1333011330222 = 2311135337797757
BaseRepresentation
bin10011011001011101101…
…010101011010010101110
311201102201211222210002020
4103121131222223102232
5133320001400031342
62500213231011010
7165210156232545
oct23313552532256
94642654883066
101333011330222
11474366165190
1219641a969a66
139891930cc30
144873790915c
1524a1c0d00ec
hex1365daab4ae

1333011330222 has 128 divisors (see below), whose sum is σ = 3192462927360. Its totient is φ = 365691056640.

The previous prime is 1333011330191. The next prime is 1333011330241. The reversal of 1333011330222 is 2220331103331.

It is a junction number, because it is equal to n+sod(n) for n = 1333011330192 and 1333011330201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171842368 + ... + 171850124.

It is an arithmetic number, because the mean of its divisors is an integer number (24941116620).

Almost surely, 21333011330222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1333011330222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596231463680).

1333011330222 is an abundant number, since it is smaller than the sum of its proper divisors (1859451597138).

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

1333011330222 is a wasteful number, since it uses less digits than its factorization.

1333011330222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11618.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1333011330222 its reverse (2220331103331), we get a palindrome (3553342433553).

The spelling of 1333011330222 in words is "one trillion, three hundred thirty-three billion, eleven million, three hundred thirty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 53 66 78 106 143 159 286 318 429 583 689 858 1166 1378 1749 2067 3498 3779 4134 7558 7579 7757 11337 15158 15514 22674 22737 23271 41569 45474 46542 49127 83138 85327 98254 100841 124707 147381 170654 200287 201682 249414 255981 294762 302523 400574 411121 511962 540397 600861 605046 822242 1080794 1109251 1201722 1233363 1621191 2203157 2218502 2466726 2603731 3242382 3327753 4406314 4522331 5207462 5344573 6609471 6655506 7811193 9044662 10689146 13218942 13566993 15622386 16033719 27133986 28641041 29313703 32067438 57282082 58627406 58790303 85923123 87941109 117580606 171846246 175882218 176370909 322450733 352741818 381078139 644901466 762156278 967352199 1143234417 1553626259 1934704398 2286468834 3107252518 4191859529 4660878777 8383719058 9321757554 12575578587 17089888849 20197141367 25151157174 34179777698 40394282734 51269666547 60591424101 102539333094 121182848202 222168555037 444337110074 666505665111 1333011330222