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220011122001000 = 23353116667003697
BaseRepresentation
bin110010000001100101010100…
…110001100000010001101000
31001211222212011101002202101010
4302001211110301200101220
5212314130234213013000
62055531414130423520
764225164462646341
oct6201452461402150
91054885141082333
10220011122001000
1164114213767350
1220813767731ba0
13959bc62844ba5
143c4884902d0c8
151a67eda562d50
hexc81954c60468

220011122001000 has 128 divisors (see below), whose sum is σ = 748837855359360. Its totient is φ = 53336029568000.

The previous prime is 220011122000993. The next prime is 220011122001067. The reversal of 220011122001000 is 100221110022.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3333468849 + ... + 3333534848.

It is an arithmetic number, because the mean of its divisors is an integer number (5850295744995).

Almost surely, 2220011122001000 is an apocalyptic number.

220011122001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220011122001000 is an abundant number, since it is smaller than the sum of its proper divisors (528826733358360).

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

220011122001000 is a wasteful number, since it uses less digits than its factorization.

220011122001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6667003732 (or 6667003718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220011122001000 its reverse (100221110022), we get a palindrome (220111343111022).

The spelling of 220011122001000 in words is "two hundred twenty trillion, eleven billion, one hundred twenty-two million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 6667003697 13334007394 20001011091 26668014788 33335018485 40002022182 53336029576 66670036970 73337040667 80004044364 100005055455 133340073940 146674081334 160008088728 166675092425 200010110910 220011122001 266680147880 293348162668 333350184850 366685203335 400020221820 440022244002 500025277275 586696325336 666700369700 733370406670 800040443640 833375462125 880044488004 1000050554550 1100055610005 1333400739400 1466740813340 1666750924250 1760088976008 1833426016675 2000101109100 2200111220010 2500126386375 2933481626680 3333501848500 3666852033350 4000202218200 4400222440020 5000252772750 5500278050025 6667003697000 7333704066700 8800444880040 9167130083375 10000505545500 11000556100050 14667408133400 18334260166750 20001011091000 22001112200100 27501390250125 36668520333500 44002224400200 55002780500250 73337040667000 110005561000500 220011122001000