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20003131222000 = 2453229285715287
BaseRepresentation
bin1001000110001010101111…
…00001111110011111110000
32121211021120121102001201221
410203011113201332133300
510110212403043101000
6110313151151034424
74133115144664663
oct443052741763760
977737517361657
1020003131222000
11641230a104513
1222b08a820ba14
13b21396c21014
144d222a0616da
1524a4d9bea61a
hex12315787e7f0

20003131222000 has 160 divisors (see below), whose sum is σ = 48598965717120. Its totient is φ = 7963003238400.

The previous prime is 20003131221989. The next prime is 20003131222001. The reversal of 20003131222000 is 22213130002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20003131222001) 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, 1308498357 + ... + 1308513643.

It is an arithmetic number, because the mean of its divisors is an integer number (303743535732).

Almost surely, 220003131222000 is an apocalyptic number.

20003131222000 is a gapful number since it is divisible by the number (20) 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 20003131222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24299482858560).

20003131222000 is an abundant number, since it is smaller than the sum of its proper divisors (28595834495120).

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

20003131222000 is a wasteful number, since it uses less digits than its factorization.

20003131222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18396 (or 18380 counting only the distinct ones).

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

Adding to 20003131222000 its reverse (22213130002), we get a palindrome (20025344352002).

The spelling of 20003131222000 in words is "twenty trillion, three billion, one hundred thirty-one million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 229 250 400 458 500 916 1000 1145 1832 2000 2290 2857 3664 4580 5714 5725 9160 11428 11450 14285 15287 18320 22856 22900 28570 28625 30574 45712 45800 57140 57250 61148 71425 76435 91600 114280 114500 122296 142850 152870 228560 229000 244592 285700 305740 357125 382175 458000 571400 611480 654253 714250 764350 1142800 1222960 1308506 1428500 1528700 1910875 2617012 2857000 3057400 3271265 3500723 3821750 5234024 5714000 6114800 6542530 7001446 7643500 10468048 13085060 14002892 15287000 16356325 17503615 26170120 28005784 30574000 32712650 35007230 43674959 52340240 56011568 65425300 70014460 81781625 87349918 87518075 130850600 140028920 163563250 174699836 175036150 218374795 261701200 280057840 327126500 349399672 350072300 436749590 437590375 654253000 698799344 700144600 873499180 875180750 1091873975 1308506000 1400289200 1746998360 1750361500 2183747950 3493996720 3500723000 4367495900 5459369875 7001446000 8734991800 10001565611 10918739750 17469983600 20003131222 21837479500 40006262444 43674959000 50007828055 80012524888 87349918000 100015656110 160025049776 200031312220 250039140275 400062624440 500078280550 800125248880 1000156561100 1250195701375 2000313122200 2500391402750 4000626244400 5000782805500 10001565611000 20003131222000