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210010011212112 = 243193747132417559
BaseRepresentation
bin101111110000000011000100…
…000111100001100101010000
31000112120202112202201120122120
4233300003010013201211100
5210011301000332241422
62022353133421334240
762143502565612336
oct5760030407414520
91015522482646576
10210010011212112
1160a0882241a191
121b67941ba07380
139024b2252c047
1439c0778593b56
151942c97d5745c
hexbf00c41e1950

210010011212112 has 160 divisors (see below), whose sum is σ = 598993481011200. Its totient is φ = 63153641101824.

The previous prime is 210010011212051. The next prime is 210010011212143. The reversal of 210010011212112 is 211212110010012.

It is a happy number.

It is a super-2 number, since 2×2100100112121122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210010011212091 and 210010011212100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64622812 + ... + 67794747.

It is an arithmetic number, because the mean of its divisors is an integer number (3743709256320).

Almost surely, 2210010011212112 is an apocalyptic number.

It is an amenable number.

210010011212112 is an abundant number, since it is smaller than the sum of its proper divisors (388983469799088).

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

210010011212112 is a wasteful number, since it uses less digits than its factorization.

210010011212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132417673 (or 132417667 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 210010011212112 its reverse (211212110010012), we get a palindrome (421222121222124).

The spelling of 210010011212112 in words is "two hundred ten trillion, ten billion, eleven million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 47 48 57 74 76 94 111 114 141 148 152 188 222 228 282 296 304 376 444 456 564 592 703 752 888 893 912 1128 1406 1739 1776 1786 2109 2256 2679 2812 3478 3572 4218 5217 5358 5624 6956 7144 8436 10434 10716 11248 13912 14288 16872 20868 21432 27824 33041 33744 41736 42864 66082 83472 99123 132164 198246 264328 396492 528656 792984 1585968 132417559 264835118 397252677 529670236 794505354 1059340472 1589010708 2118680944 2515933621 3178021416 4899449683 5031867242 6223625273 6356042832 7547800863 9798899366 10063734484 12447250546 14698349049 15095601726 18670875819 19597798732 20127468968 24894501092 29396698098 30191203452 37341751638 39195597464 40254937936 49789002184 58793396196 60382406904 74683503276 78391194928 93089543977 99578004368 117586792392 118248880187 120764813808 149367006552 186179087954 230274135101 235173584784 236497760374 279268631931 298734013104 354746640561 372358175908 460548270202 472995520748 558537263862 690822405303 709493281122 744716351816 921096540404 945991041496 1117074527724 1381644810606 1418986562244 1489432703632 1842193080808 1891982082992 2234149055448 2763289621212 2837973124488 3684386161616 4375208566919 4468298110896 5526579242424 5675946248976 8750417133838 11053158484848 13125625700757 17500834267676 26251251401514 35001668535352 52502502803028 70003337070704 105005005606056 210010011212112