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210012122012022 = 234114111812433901
BaseRepresentation
bin101111110000000101000001…
…111011100101100101110110
31000112120221222212120022210000
4233300011001323211211312
5210011314311213341042
62022354123103212130
762143606106250051
oct5760050173454566
91015527885508700
10210012122012022
1160a09705964420
121b67990a8a7046
13902509a92b885
1439c08d8a51a98
151942d6d30474c
hexbf0141ee5976

210012122012022 has 160 divisors (see below), whose sum is σ = 526329516148128. Its totient is φ = 62035243200000.

The previous prime is 210012122012009. The next prime is 210012122012059. The reversal of 210012122012022 is 220210221210012.

It is a happy number.

210012122012022 is a `hidden beast` number, since 210 + 0 + 1 + 212 + 201 + 20 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 210012122011986 and 210012122012004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 85069272 + ... + 87503172.

Almost surely, 2210012122012022 is an apocalyptic number.

210012122012022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 210012122012022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263164758074064).

210012122012022 is an abundant number, since it is smaller than the sum of its proper divisors (316317394136106).

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

210012122012022 is a wasteful number, since it uses less digits than its factorization.

210012122012022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435148 (or 2435139 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210012122012022 its reverse (220210221210012), we get a palindrome (430222343222034).

The spelling of 210012122012022 in words is "two hundred ten trillion, twelve billion, one hundred twenty-two million, twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 81 82 99 123 162 198 246 297 369 451 594 738 891 902 1107 1181 1353 1782 2214 2362 2706 3321 3543 4059 6642 7086 8118 10629 12177 12991 21258 24354 25982 31887 36531 38973 48421 63774 73062 77946 95661 96842 116919 145263 191322 233838 290526 350757 435789 532631 701514 871578 1052271 1065262 1307367 1597893 2104542 2433901 2614734 3195786 3922101 4793679 4867802 7301703 7844202 9587358 14381037 14603406 21905109 26772911 28762074 43143111 43810218 53545822 65715327 80318733 86286222 99789941 131430654 160637466 197145981 199579882 240956199 299369823 394291962 481912398 598739646 722868597 898109469 1097689351 1445737194 1796218938 2168605791 2195378702 2694328407 2874437081 3293068053 4337211582 5388656814 5748874162 6586136106 8082985221 8623311243 9879204159 16165970442 17246622486 19758408318 25869933729 29637612477 31618807891 51739867458 59275224954 63237615782 77609801187 88912837431 94856423673 117851920321 155219602374 177825674862 189712847346 232829403561 235703840642 284569271019 353555760963 465658807122 569138542038 707111521926 853707813057 1060667282889 1296371123531 1707415626114 2121334565778 2561123439171 2592742247062 3182001848667 3889113370593 5122246878342 6364003697334 7778226741186 9546005546001 11667340111779 19092011092002 23334680223558 35002020335337 70004040670674 105006061006011 210012122012022