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1323100020 = 2235113754181
BaseRepresentation
bin100111011011100…
…1110011101110100
310102012122110000110
41032313032131310
510202203200040
6335142343020
744534110314
oct11667163564
93365573013
101323100020
116199456a0
1230b12aa70
13181165428
14c7a15444
157b254980
hex4edce774

1323100020 has 96 divisors (see below), whose sum is σ = 4150774656. Its totient is φ = 312076800.

The previous prime is 1323100007. The next prime is 1323100049. The reversal of 1323100020 is 200013231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1323099969 and 1323100005.

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 31 ways as a sum of consecutive naturals, for example, 2671 + ... + 51510.

It is an arithmetic number, because the mean of its divisors is an integer number (43237236).

Almost surely, 21323100020 is an apocalyptic number.

1323100020 is a gapful number since it is divisible by the number (10) 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 1323100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075387328).

1323100020 is an abundant number, since it is smaller than the sum of its proper divisors (2827674636).

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

1323100020 is a wasteful number, since it uses less digits than its factorization.

1323100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54241 (or 54239 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1323100020 is about 36374.4418513879. The cubic root of 1323100020 is about 1097.8193769928.

Adding to 1323100020 its reverse (200013231), we get a palindrome (1523113251).

The spelling of 1323100020 in words is "one billion, three hundred twenty-three million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 6105 8140 12210 24420 54181 108362 162543 216724 270905 325086 541810 595991 650172 812715 1083620 1191982 1625430 1787973 2004697 2383964 2979955 3250860 3575946 4009394 5959910 6014091 7151892 8018788 8939865 10023485 11919820 12028182 17879730 20046970 22051667 24056364 30070455 35759460 40093940 44103334 60140910 66155001 88206668 110258335 120281820 132310002 220516670 264620004 330775005 441033340 661550010 1323100020