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12213323131000 = 2353193274123087
BaseRepresentation
bin1011000110111010001011…
…0010010110100001111000
31121020120201111011222011011
42301232202302112201320
53100100341210143000
641550420113043304
72400245350503025
oct261564262264170
947216644158134
1012213323131000
113989706563572
121453035256534
136a7933019b14
143031b130054c
15162a6ad742ba
hexb1ba2c96878

12213323131000 has 128 divisors (see below), whose sum is σ = 28738980092160. Its totient is φ = 4858033152000.

The previous prime is 12213323130991. The next prime is 12213323131033. The reversal of 12213323131000 is 13132331221.

It is a super-2 number, since 2×122133231310002 (a number of 27 digits) contains 22 as substring.

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, 529001457 + ... + 529024543.

It is an arithmetic number, because the mean of its divisors is an integer number (224523281970).

Almost surely, 212213323131000 is an apocalyptic number.

12213323131000 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 12213323131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14369490046080).

12213323131000 is an abundant number, since it is smaller than the sum of its proper divisors (16525656961160).

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

12213323131000 is a wasteful number, since it uses less digits than its factorization.

12213323131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26042 (or 26028 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12213323131000 its reverse (13132331221), we get a palindrome (12226455462221).

The spelling of 12213323131000 in words is "twelve trillion, two hundred thirteen billion, three hundred twenty-three million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 193 200 250 386 500 772 965 1000 1544 1930 2741 3860 4825 5482 7720 9650 10964 13705 19300 21928 23087 24125 27410 38600 46174 48250 54820 68525 92348 96500 109640 115435 137050 184696 193000 230870 274100 342625 461740 529013 548200 577175 685250 923480 1058026 1154350 1370500 2116052 2308700 2645065 2741000 2885875 4232104 4455791 4617400 5290130 5771750 8911582 10580260 11543500 13225325 17823164 21160520 22278955 23087000 26450650 35646328 44557910 52901300 63281467 66126625 89115820 105802600 111394775 126562934 132253250 178231640 222789550 253125868 264506500 316407335 445579100 506251736 529013000 556973875 632814670 891158200 1113947750 1265629340 1582036675 2227895500 2531258680 3164073350 4455791000 6328146700 7910183375 12213323131 12656293400 15820366750 24426646262 31640733500 48853292524 61066615655 63281467000 97706585048 122133231310 244266462620 305333078275 488532925240 610666156550 1221332313100 1526665391375 2442664626200 3053330782750 6106661565500 12213323131000