Search a number
-
+
1322434331322 = 23131091931974091
BaseRepresentation
bin10011001111100111001…
…110101000001010111010
311200102102201111120021020
4103033213032220022322
5133131321142100242
62451303513123310
7164354104230216
oct23174716501272
94612381446236
101322434331322
1146a928782385
121943686b9536
1397921c1b2c0
1448012ca9946
15245ed7496ec
hex133e73a82ba

1322434331322 has 128 divisors (see below), whose sum is σ = 2904721585920. Its totient is φ = 398947368960.

The previous prime is 1322434331227. The next prime is 1322434331327. The reversal of 1322434331322 is 2231334342231.

It is not an unprimeable number, because it can be changed into a prime (1322434331327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 323252497 + ... + 323256587.

It is an arithmetic number, because the mean of its divisors is an integer number (22693137390).

Almost surely, 21322434331322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322434331322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452360792960).

1322434331322 is an abundant number, since it is smaller than the sum of its proper divisors (1582287254598).

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

1322434331322 is a wasteful number, since it uses less digits than its factorization.

1322434331322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4608.

The product of its digits is 62208, while the sum is 33.

Adding to 1322434331322 its reverse (2231334342231), we get a palindrome (3553768673553).

The spelling of 1322434331322 in words is "one trillion, three hundred twenty-two billion, four hundred thirty-four million, three hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 109 193 197 218 327 386 394 579 591 654 1158 1182 1417 2509 2561 2834 4091 4251 5018 5122 7527 7683 8182 8502 12273 15054 15366 21037 21473 24546 38021 42074 42946 53183 63111 64419 76042 106366 114063 126222 128838 159549 228126 273481 279149 319098 445919 494273 546962 558298 789563 805927 820443 837447 891838 988546 1337757 1482819 1579126 1611854 1640886 1674894 2368689 2417781 2675514 2965638 4144289 4737378 4835562 5796947 8288578 10264319 10477051 11593894 12432867 17390841 20528638 20954102 24865734 30792957 31431153 34781682 53875757 61585914 62862306 86062367 87846043 107751514 155543911 161627271 172124734 175692086 258187101 263538129 311087822 323254542 466631733 516374202 527076258 933263466 1118810771 1141998559 2022070843 2237621542 2283997118 3356432313 3425995677 4044141686 6066212529 6712864626 6851991354 12132425058 16954286299 33908572598 50862858897 101725717794 220405721887 440811443774 661217165661 1322434331322