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1322203001020 = 2251110362879281
BaseRepresentation
bin10011001111011001011…
…100001011000010111100
311200101211121012202202021
4103033121130023002330
5133130332432013040
62451224531005524
7164345265033646
oct23173134130274
94611747182667
101322203001020
1146a81a140510
121943031398a4
13978b6014675
1447dd028d896
15245d82a224a
hex133d970b0bc

1322203001020 has 96 divisors (see below), whose sum is σ = 3059271161856. Its totient is φ = 476006092800.

The previous prime is 1322203000973. The next prime is 1322203001033. The reversal of 1322203001020 is 201003022231.

It is a junction number, because it is equal to n+sod(n) for n = 1322203000985 and 1322203001003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142458780 + ... + 142468060.

It is an arithmetic number, because the mean of its divisors is an integer number (31867407936).

Almost surely, 21322203001020 is an apocalyptic number.

1322203001020 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 1322203001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529635580928).

1322203001020 is an abundant number, since it is smaller than the sum of its proper divisors (1737068160836).

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

1322203001020 is a wasteful number, since it uses less digits than its factorization.

1322203001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15691 (or 15689 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1322203001020 its reverse (201003022231), we get a palindrome (1523206023251).

The spelling of 1322203001020 in words is "one trillion, three hundred twenty-two billion, two hundred three million, one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 206 220 412 515 1030 1133 2060 2266 4532 5665 6287 9281 11330 12574 18562 22660 25148 31435 37124 46405 62870 69157 92810 102091 125740 138314 185620 204182 276628 345785 408364 510455 647561 691570 955943 1020910 1295122 1383140 1911886 2041820 2590244 3237805 3823772 4779715 6475610 7123171 9559430 10515373 12951220 14246342 19118860 21030746 28492684 35615855 42061492 52576865 58349647 71231710 105153730 116699294 142463420 210307460 233398588 291748235 583496470 641846117 1166992940 1283692234 2567384468 3209230585 6010013641 6418461170 12020027282 12836922340 24040054564 30050068205 60100136410 66110150051 120200272820 132220300102 264440600204 330550750255 661101500510 1322203001020