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100122222002000 = 24531122320408117
BaseRepresentation
bin10110110000111110000101…
…011110011111111101010000
3111010111120221210120112111112
4112300332011132133331100
5101110400302313031000
6552535302552232452
730042406666051502
oct2660760536377520
9433446853515445
10100122222002000
11299a1661159290
12b29043569b728
1343b363c7963a3
141aa1d272c1d72
15b8961e88b235
hex5b0f8579ff50

100122222002000 has 160 divisors (see below), whose sum is σ = 265288554445824. Its totient is φ = 36244814016000.

The previous prime is 100122222001993. The next prime is 100122222002083. The reversal of 100122222002000 is 200222221001.

It is a super-3 number, since 3×1001222220020003 (a number of 43 digits) contains 333 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, 5298059 + ... + 15110058.

Almost surely, 2100122222002000 is an apocalyptic number.

100122222002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122222002000 is an abundant number, since it is smaller than the sum of its proper divisors (165166332443824).

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

100122222002000 is a wasteful number, since it uses less digits than its factorization.

100122222002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20408374 (or 20408358 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100122222002000 its reverse (200222221001), we get a palindrome (100322444223001).

The spelling of 100122222002000 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twenty-two million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 223 250 275 400 440 446 500 550 880 892 1000 1100 1115 1375 1784 2000 2200 2230 2453 2750 3568 4400 4460 4906 5500 5575 8920 9812 11000 11150 12265 17840 19624 22000 22300 24530 27875 39248 44600 49060 55750 61325 89200 98120 111500 122650 196240 223000 245300 306625 446000 490600 613250 981200 1226500 2453000 4906000 20408117 40816234 81632468 102040585 163264936 204081170 224489287 326529872 408162340 448978574 510202925 816324680 897957148 1020405850 1122446435 1632649360 1795914296 2040811700 2244892870 2551014625 3591828592 4081623400 4489785740 4551010091 5102029250 5612232175 8163246800 8979571480 9102020182 10204058500 11224464350 17959142960 18204040364 20408117000 22448928700 22755050455 28061160875 36408080728 40816234000 44897857400 45510100910 50061111001 56122321750 72816161456 89795714800 91020201820 100122222002 112244643500 113775252275 182040403640 200244444004 224489287000 227550504550 250305555005 364080807280 400488888008 448978574000 455101009100 500611110010 568876261375 800977776016 910202018200 1001222220020 1137752522750 1251527775025 1820404036400 2002444440040 2275505045500 2503055550050 4004888880080 4551010091000 5006111100100 6257638875125 9102020182000 10012222200200 12515277750250 20024444400400 25030555500500 50061111001000 100122222002000