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1322444420020 = 225312511313457
BaseRepresentation
bin10011001111100111110…
…101000111001110110100
311200102110102111010100201
4103033213311013032310
5133131331232420040
62451304513250244
7164354256046303
oct23174765071664
94612412433321
101322444420020
1146a933443149
1219436bb63984
1397924041349
144801437443a
15245ee58da9a
hex133e7d473b4

1322444420020 has 72 divisors (see below), whose sum is σ = 2870382585672. Its totient is φ = 511775815680.

The previous prime is 1322444419999. The next prime is 1322444420041. The reversal of 1322444420020 is 200244442231.

It is an interprime number because it is at equal distance from previous prime (1322444419999) and next prime (1322444420041).

It can be written as a sum of positive squares in 4 ways, for example, as 166380778404 + 1156063641616 = 407898^2 + 1075204^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98265132 + ... + 98278588.

It is an arithmetic number, because the mean of its divisors is an integer number (39866424801).

Almost surely, 21322444420020 is an apocalyptic number.

1322444420020 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 1322444420020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435191292836).

1322444420020 is an abundant number, since it is smaller than the sum of its proper divisors (1547938165652).

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

1322444420020 is a wasteful number, since it uses less digits than its factorization.

1322444420020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18641 (or 18608 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 1322444420020 its reverse (200244442231), we get a palindrome (1522688862251).

The spelling of 1322444420020 in words is "one trillion, three hundred twenty-two billion, four hundred forty-four million, four hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 961 1922 3844 4805 5113 9610 10226 13457 19220 20452 25565 26914 51130 53828 67285 102260 134570 158503 269140 317006 417167 634012 792515 834334 1585030 1668668 2085835 3170060 4171670 4913593 8343340 9827186 12932177 19654372 24567965 25864354 49135930 51728708 64660885 68805641 98271860 129321770 137611282 258643540 275222564 344028205 688056410 1376112820 2132974871 4265949742 8531899484 10664874355 21329748710 42659497420 66122221001 132244442002 264488884004 330611105005 661222210010 1322444420020