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1323121332 = 2231337415591
BaseRepresentation
bin100111011011101…
…0011101010110100
310102012200112020210
41032313103222310
510202204340312
6335143025420
744534226411
oct11667235264
93365615223
101323121332
1161995a705
1230b13b270
13181172040
14c7a1d108
157b25ae3c
hex4edd3ab4

1323121332 has 96 divisors (see below), whose sum is σ = 3498534144. Its totient is φ = 386380800.

The previous prime is 1323121321. The next prime is 1323121337. The reversal of 1323121332 is 2331213231.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1323121299 and 1323121308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323121337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233857 + ... + 239447.

It is an arithmetic number, because the mean of its divisors is an integer number (36443064).

Almost surely, 21323121332 is an apocalyptic number.

1323121332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323121332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749267072).

1323121332 is an abundant number, since it is smaller than the sum of its proper divisors (2175412812).

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

1323121332 is a wasteful number, since it uses less digits than its factorization.

1323121332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5689 (or 5687 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 1323121332 is about 36374.7348031570. The cubic root of 1323121332 is about 1097.8252713824.

Adding to 1323121332 its reverse (2331213231), we get a palindrome (3654334563).

The spelling of 1323121332 in words is "one billion, three hundred twenty-three million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 37 39 41 52 74 78 82 111 123 148 156 164 222 246 444 481 492 533 962 1066 1443 1517 1599 1924 2132 2886 3034 3198 4551 5591 5772 6068 6396 9102 11182 16773 18204 19721 22364 33546 39442 59163 67092 72683 78884 118326 145366 206867 218049 229231 236652 290732 413734 436098 458462 620601 687693 827468 872196 916924 1241202 1375386 2482404 2689271 2750772 2980003 5378542 5960006 8067813 8481547 8940009 10757084 11920012 16135626 16963094 17880018 25444641 32271252 33926188 35760036 50889282 101778564 110260111 220520222 330780333 441040444 661560666 1323121332