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22000001100210 = 23257237134828713
BaseRepresentation
bin1010000000010010001100…
…10000000010100110110010
32212220011211220101020211100
411000021012100002212302
510340422000240201320
6114442354434425230
74430306351621400
oct500110620024662
985804756336740
1022000001100210
11701216a09a491
1225738b7a32216
13c3778bb41b03
14560b3cd16470
1528240cece790
hex1402464029b2

22000001100210 has 144 divisors (see below), whose sum is σ = 68337124718616. Its totient is φ = 4892664301056.

The previous prime is 22000001100169. The next prime is 22000001100227. The reversal of 22000001100210 is 1200110000022.

It can be written as a sum of positive squares in 4 ways, for example, as 20568247659729 + 1431753440481 = 4535223^2 + 1196559^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 22000001100192 and 22000001100201.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67251187 + ... + 67577526.

Almost surely, 222000001100210 is an apocalyptic number.

22000001100210 is an abundant number, since it is smaller than the sum of its proper divisors (46337123618406).

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

22000001100210 is a wasteful number, since it uses less digits than its factorization.

22000001100210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134828777 (or 134828767 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22000001100210 its reverse (1200110000022), we get a palindrome (23200111100232).

The spelling of 22000001100210 in words is "twenty-two trillion, one million, one hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 37 42 45 49 63 70 74 90 98 105 111 126 147 185 210 222 245 259 294 315 333 370 441 490 518 555 630 666 735 777 882 1110 1295 1470 1554 1665 1813 2205 2331 2590 3330 3626 3885 4410 4662 5439 7770 9065 10878 11655 16317 18130 23310 27195 32634 54390 81585 163170 134828713 269657426 404486139 674143565 808972278 943800991 1213458417 1348287130 1887601982 2022430695 2426916834 2831402973 4044861390 4719004955 4988662381 5662805946 6067292085 6606606937 8494208919 9438009910 9977324762 12134584170 13213213874 14157014865 14965987143 16988417838 19819820811 24943311905 28314029730 29931974286 33033034685 34920636667 39639641622 42471044595 44897961429 49886623810 59459462433 66066069370 69841273334 74829935715 84942089190 89795922858 99099104055 104761910001 118918924866 149659871430 174603183335 198198208110 209523820002 224489807145 244444456669 297297312165 314285730003 349206366670 448979614290 488888913338 523809550005 594594624330 628571460006 733333370007 1047619100010 1222222283345 1466666740014 1571428650015 2200000110021 2444444566690 3142857300030 3666666850035 4400000220042 7333333700070 11000000550105 22000001100210