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1322011000020 = 223589461537023
BaseRepresentation
bin10011001111001101111…
…111101111110011010100
311200101100012221002220010
4103033031333233303110
5133124434304000040
62451153511440220
7164340444043164
oct23171577576324
94611305832803
101322011000020
1146a7308212a7
1219426a986070
13978852cb1c9
1447db29905a4
15245c64c7e80
hex133cdfefcd4

1322011000020 has 96 divisors (see below), whose sum is σ = 3751348930560. Its totient is φ = 347818408960.

The previous prime is 1322010999989. The next prime is 1322011000087. The reversal of 1322011000020 is 200001102231.

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

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, 2193229 + ... + 2730251.

It is an arithmetic number, because the mean of its divisors is an integer number (39076551360).

Almost surely, 21322011000020 is an apocalyptic number.

1322011000020 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 1322011000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875674465280).

1322011000020 is an abundant number, since it is smaller than the sum of its proper divisors (2429337930540).

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

1322011000020 is a wasteful number, since it uses less digits than its factorization.

1322011000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537585 (or 537583 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1322011000020 its reverse (200001102231), we get a palindrome (1522012102251).

The spelling of 1322011000020 in words is "one trillion, three hundred twenty-two billion, eleven million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 461 534 890 922 1068 1335 1383 1780 1844 2305 2670 2766 4610 5340 5532 6915 9220 13830 27660 41029 82058 123087 164116 205145 246174 410290 492348 537023 615435 820580 1074046 1230870 1611069 2148092 2461740 2685115 3222138 5370230 6444276 8055345 10740460 16110690 32221380 47795047 95590094 143385141 191180188 238975235 247567603 286770282 477950470 495135206 573540564 716925705 742702809 955900940 990270412 1237838015 1433851410 1485405618 2475676030 2867702820 2970811236 3713514045 4951352060 7427028090 14854056180 22033516667 44067033334 66100550001 88134066668 110167583335 132201100002 220335166670 264402200004 330502750005 440670333340 661005500010 1322011000020