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1322213030334 = 232723580778569
BaseRepresentation
bin10011001111011010000…
…010011011100110111110
311200101212022002022101100
4103033122002123212332
5133130343013432314
62451225525553530
7164345446214640
oct23173202334676
94611768068340
101322213030334
1146a8248706a9
121943065758a6
13978b8116681
1447dd1740890
15245d90d3c09
hex133da09b9be

1322213030334 has 96 divisors (see below), whose sum is σ = 3417033185280. Its totient is φ = 361283319936.

The previous prime is 1322213030297. The next prime is 1322213030339. The reversal of 1322213030334 is 4330303122231.

1322213030334 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 21 + 303 + 0 + 334 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1322213030298 and 1322213030307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322213030339) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16789402 + ... + 16867970.

It is an arithmetic number, because the mean of its divisors is an integer number (35594095680).

Almost surely, 21322213030334 is an apocalyptic number.

1322213030334 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 1322213030334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708516592640).

1322213030334 is an abundant number, since it is smaller than the sum of its proper divisors (2094820154946).

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

1322213030334 is a wasteful number, since it uses less digits than its factorization.

1322213030334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84414 (or 84411 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1322213030334 its reverse (4330303122231), we get a palindrome (5652516152565).

The spelling of 1322213030334 in words is "one trillion, three hundred twenty-two billion, two hundred thirteen million, thirty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2898 5807 11614 17421 34842 40649 52263 78569 81298 104526 121947 133561 157138 235707 243894 267122 365841 400683 471414 549983 707121 731682 801366 934927 1099966 1202049 1414242 1649949 1807087 1869854 2404098 2804781 3299898 3614174 4949847 5421261 5609562 8414343 9899694 10842522 12649609 16263783 16828686 25299218 32527566 37948827 75897654 113846481 227692962 456250183 912500366 1368750549 2737501098 3193751281 4106251647 6387502562 8212503294 9581253843 10493754209 19162507686 20987508418 28743761529 31481262627 57487523058 62962525254 73456279463 94443787881 146912558926 188887575762 220368838389 440737676778 661106515167 1322213030334