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1323321323124 = 2231723676471607
BaseRepresentation
bin10011010000011100000…
…110001110111001110100
311200111201112112102021110
4103100130012032321310
5133140130224314444
62451531520315020
7164415064440153
oct23203406167164
94614645472243
101323321323124
1147024342a459
12194575772a70
1397a3390bb18
14480989db59a
1524651556cb9
hex1341c18ee74

1323321323124 has 144 divisors (see below), whose sum is σ = 3296137162752. Its totient is φ = 413131243008.

The previous prime is 1323321323101. The next prime is 1323321323143. The reversal of 1323321323124 is 4213231233231.

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 = 1323321323091 and 1323321323100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 823472329 + ... + 823473935.

It is an arithmetic number, because the mean of its divisors is an integer number (22889841408).

Almost surely, 21323321323124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323321323124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648068581376).

1323321323124 is an abundant number, since it is smaller than the sum of its proper divisors (1972815839628).

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

1323321323124 is a wasteful number, since it uses less digits than its factorization.

1323321323124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2643 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

Adding to 1323321323124 its reverse (4213231233231), we get a palindrome (5536552556355).

The spelling of 1323321323124 in words is "one trillion, three hundred twenty-three billion, three hundred twenty-one million, three hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 289 367 578 647 734 867 1101 1156 1294 1468 1607 1734 1941 2202 2588 3214 3468 3882 4404 4821 6239 6428 7764 9642 10999 12478 18717 19284 21998 24956 27319 32997 37434 43996 54638 65994 74868 81957 106063 109276 131988 163914 186983 212126 237449 318189 327828 373966 424252 464423 474898 560949 589769 636378 712347 747932 928846 949796 1039729 1121898 1179538 1272756 1393269 1424694 1769307 1857692 2079458 2243796 2359076 2786538 2849388 3119187 3538614 4036633 4158916 5573076 6238374 7077228 8073266 10026073 12109899 12476748 16146532 17675393 20052146 24219798 30078219 35350786 40104292 48439596 53026179 60156438 68622761 70701572 106052358 120312876 137245522 170443241 205868283 212104716 274491044 300481681 340886482 381580543 411736566 511329723 600963362 681772964 763161086 823473132 901445043 1022659446 1144741629 1201926724 1526322172 1802890086 2045318892 2289483258 3605780172 4578966516 6486869231 12973738462 19460607693 25947476924 38921215386 77842430772 110276776927 220553553854 330830330781 441107107708 661660661562 1323321323124