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1323020101000 = 235313963110567
BaseRepresentation
bin10011010000001010001…
…001001010010110001000
311200110221112201202012111
4103100022021022112020
5133134021121213000
62451442000152104
7164404446210433
oct23201211122610
94613845652174
101323020101000
114700a93a0854
121944b0908634
13979b63a3990
144806a9ca81a
1524634da5cba
hex1340a24a588

1323020101000 has 128 divisors (see below), whose sum is σ = 3334672373760. Its totient is φ = 488402784000.

The previous prime is 1323020100943. The next prime is 1323020101009. The reversal of 1323020101000 is 1010203231.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1323020101009) 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, 125197717 + ... + 125208283.

It is an arithmetic number, because the mean of its divisors is an integer number (26052127920).

Almost surely, 21323020101000 is an apocalyptic number.

1323020101000 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 1323020101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667336186880).

1323020101000 is an abundant number, since it is smaller than the sum of its proper divisors (2011652272760).

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

1323020101000 is a wasteful number, since it uses less digits than its factorization.

1323020101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20232 (or 20218 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1323020101000 its reverse (1010203231), we get a palindrome (1324030304231).

The spelling of 1323020101000 in words is "one trillion, three hundred twenty-three billion, twenty million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 9631 10567 13000 19262 21134 38524 42268 48155 52835 77048 84536 96310 105670 125203 137371 192620 211340 240775 250406 264175 274742 385240 422680 481550 500812 528350 549484 626015 686855 963100 1001624 1056700 1098968 1203875 1252030 1320875 1373710 1926200 2113400 2407750 2504060 2641750 2747420 3130075 3434275 4815500 5008120 5283500 5494840 6260150 6868550 9631000 10567000 12520300 13737100 15650375 17171375 25040600 27474200 31300750 34342750 62601500 68685500 101770777 125203000 137371000 203541554 407083108 508853885 814166216 1017707770 1323020101 2035415540 2544269425 2646040202 4070831080 5088538850 5292080404 6615100505 10177077700 10584160808 12721347125 13230201010 20354155400 25442694250 26460402020 33075502525 50885388500 52920804040 66151005050 101770777000 132302010100 165377512625 264604020200 330755025250 661510050500 1323020101000