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20002222120100 = 22521141597517089
BaseRepresentation
bin1001000110001001000010…
…10110000001110010100100
32121211012020020202220101012
410203010201112001302210
510110204022330320400
6110312521033521352
74133053465520063
oct443044126016244
977735206686335
1020002222120100
116411992a25830
1222b0693873258
13b2128078b7bc
144d21814161da
1524a484ec1d35
hex123121581ca4

20002222120100 has 144 divisors (see below), whose sum is σ = 49327745947200. Its totient is φ = 6975857664000.

The previous prime is 20002222120057. The next prime is 20002222120129. The reversal of 20002222120100 is 102122220002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1097645 + ... + 6419444.

It is an arithmetic number, because the mean of its divisors is an integer number (342553791300).

Almost surely, 220002222120100 is an apocalyptic number.

20002222120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20002222120100 is an abundant number, since it is smaller than the sum of its proper divisors (29325523827100).

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

20002222120100 is a wasteful number, since it uses less digits than its factorization.

20002222120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7517214 (or 7517207 counting only the distinct ones).

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

Adding to 20002222120100 its reverse (102122220002), we get a palindrome (20104344340102).

The spelling of 20002222120100 in words is "twenty trillion, two billion, two hundred twenty-two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 59 82 100 110 118 164 205 220 236 275 295 410 451 550 590 649 820 902 1025 1100 1180 1298 1475 1804 2050 2255 2419 2596 2950 3245 4100 4510 4838 5900 6490 9020 9676 11275 12095 12980 16225 22550 24190 26609 32450 45100 48380 53218 60475 64900 106436 120950 133045 241900 266090 532180 665225 1330450 2660900 7517089 15034178 30068356 37585445 75170890 82687979 150341780 165375958 187927225 308200649 330751916 375854450 413439895 443508251 616401298 751708900 826879790 887016502 1232802596 1541003245 1653759580 1774033004 2067199475 2217541255 3082006490 3390207139 4134398950 4435082510 4878590761 6164012980 6780414278 7705016225 8268797900 8870165020 9757181522 11087706275 13560828556 15410032450 16951035695 18183838291 19514363044 22175412550 24392953805 30820064900 33902071390 36367676582 44350825100 48785907610 67804142780 72735353164 84755178475 90919191455 97571815220 121964769025 169510356950 181838382910 200022221201 243929538050 339020713900 363676765820 400044442402 454595957275 487859076100 800088884804 909191914550 1000111106005 1818383829100 2000222212010 4000444424020 5000555530025 10001111060050 20002222120100