Search a number
-
+
212002110000012 = 2234112732171054679
BaseRepresentation
bin110000001101000010010110…
…011101010100101110001100
31000210122012111120001021020110
4300031002112131110232030
5210241420310130000022
62030520231432120020
762440434630123543
oct6015022635245614
91023565446037213
10212002110000012
1161606654236412
121b93b519836010
13913a936b5b187
143a4cd5793315a
1519799dc35000c
hexc0d096754b8c

212002110000012 has 96 divisors (see below), whose sum is σ = 510886047006720. Its totient is φ = 68379584071680.

The previous prime is 212002110000007. The next prime is 212002110000067. The reversal of 212002110000012 is 210000011200212.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 200483689 + ... + 201538367.

It is an arithmetic number, because the mean of its divisors is an integer number (5321729656320).

Almost surely, 2212002110000012 is an apocalyptic number.

It is an amenable number.

212002110000012 is an abundant number, since it is smaller than the sum of its proper divisors (298883937006708).

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

212002110000012 is a wasteful number, since it uses less digits than its factorization.

212002110000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058071 (or 1058069 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212002110000012 its reverse (210000011200212), we get a palindrome (422002121200224).

The spelling of 212002110000012 in words is "two hundred twelve trillion, two billion, one hundred ten million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 41 82 123 127 164 246 254 381 492 508 762 1524 3217 5207 6434 9651 10414 12868 15621 19302 20828 31242 38604 62484 131897 263794 395691 408559 527588 791382 817118 1054679 1225677 1582764 1634236 2109358 2451354 3164037 4218716 4902708 6328074 12656148 16750919 33501838 43241839 50252757 67003676 86483678 100505514 129725517 133944233 172967356 201011028 259451034 267888466 401832699 518902068 535776932 803665398 1607330796 3392902343 5491713553 6785804686 10178707029 10983427106 13571609372 16475140659 20357414058 21966854212 32950281318 40714828116 65900562636 139108996063 278217992126 417326988189 430898597561 556435984252 834653976378 861797195122 1292695792683 1669307952756 1723594390244 2585391585366 5170783170732 17666842500001 35333685000002 53000527500003 70667370000004 106001055000006 212002110000012