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210110012012112 = 243191613228162617
BaseRepresentation
bin101111110001100000001100…
…101000010011011001010000
31000112221022122222212120021220
4233301200030220103121100
5210014420301033341422
62022511112413445040
762153642652442242
oct5761401450233120
91015838588776256
10210110012012112
1160a47179251343
121b694889aa0780
13903139b25b954
1439c5543782092
15194569c19de5c
hexbf180ca13650

210110012012112 has 160 divisors (see below), whose sum is σ = 571965776430720. Its totient is φ = 66279266426880.

The previous prime is 210110012012081. The next prime is 210110012012129. The reversal of 210110012012112 is 211210210011012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 210110012012091 and 210110012012100.

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, 3355447428 + ... + 3355510044.

It is an arithmetic number, because the mean of its divisors is an integer number (3574786102692).

Almost surely, 2210110012012112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210110012012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285982888215360).

210110012012112 is an abundant number, since it is smaller than the sum of its proper divisors (361855764418608).

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

210110012012112 is a wasteful number, since it uses less digits than its factorization.

210110012012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66541 (or 66535 counting only the distinct ones).

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

Adding to 210110012012112 its reverse (211210210011012), we get a palindrome (421320222023124).

The spelling of 210110012012112 in words is "two hundred ten trillion, one hundred ten billion, twelve million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1613 2281 3226 4562 4839 6452 6843 9124 9678 12904 13686 18248 19356 25808 27372 30647 36496 38712 43339 54744 61294 62617 77424 86678 91941 109488 122588 125234 130017 173356 183882 187851 245176 250468 260034 346712 367764 375702 490352 500936 520068 693424 735528 751404 1001872 1040136 1189723 1471056 1502808 2080272 2379446 3005616 3569169 3679253 4758892 7138338 7358506 9517784 11037759 14276676 14717012 19035568 22075518 28553352 29434024 44151036 57106704 58868048 69905807 88302072 101001221 139811614 142829377 176604144 202002442 209717421 279623228 285658754 303003663 404004884 419434842 428488131 559246456 571317508 606007326 808009768 838869684 856976262 1118492912 1142635016 1212014652 1616019536 1677739368 1713952524 1919023199 2285270032 2424029304 2713758163 3355478736 3427905048 3838046398 4848058608 5427516326 5757069597 6855810096 7676092796 8141274489 10855032652 11514139194 15352185592 16282548978 21710065304 23028278388 30704371184 32565097956 43420130608 46056556776 65130195912 92113113552 130260391824 230383785101 460767570202 691151355303 921535140404 1382302710606 1843070280808 2764605421212 3686140561616 4377291916919 5529210842424 8754583833838 11058421684848 13131875750757 17509167667676 26263751501514 35018335335352 52527503003028 70036670670704 105055006006056 210110012012112