Search a number
-
+
212132202231212 = 222344946111139649
BaseRepresentation
bin110000001110111011100000…
…100011110011010110101100
31000211002122021220112100021122
4300032323200203303112230
5210301033222232344322
62031100104404120112
762453021503625534
oct6016734043632654
91024078256470248
10212132202231212
116165684198017a
121b960785396038
139149c99b86383
143a5537936a4c4
15197d0a3331442
hexc0eee08f35ac

212132202231212 has 48 divisors (see below), whose sum is σ = 389076783480000. Its totient is φ = 101008981032960.

The previous prime is 212132202231203. The next prime is 212132202231217.

212132202231212 is nontrivially palindromic in base 10.

212132202231212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2121322022312122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212132202231217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13473164 + ... + 24612812.

It is an arithmetic number, because the mean of its divisors is an integer number (8105766322500).

Almost surely, 2212132202231212 is an apocalyptic number.

It is an amenable number.

212132202231212 is a deficient number, since it is larger than the sum of its proper divisors (176944581248788).

212132202231212 is a wasteful number, since it uses less digits than its factorization.

212132202231212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11140586 (or 11140584 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 21213220 and 2231212, that added together give a palindrome (23444432).

The spelling of 212132202231212 in words is "two hundred twelve trillion, one hundred thirty-two billion, two hundred two million, two hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 4 23 46 92 449 461 898 922 1796 1844 10327 10603 20654 21206 41308 42412 206989 413978 827956 4760747 9521494 11139649 19042988 22279298 44558596 256211927 512423854 1024847708 5001702401 5135378189 10003404802 10270756378 20006809604 20541512756 115039155223 118113698347 230078310446 236227396694 460156620892 472454793388 2305784806861 4611569613722 9223139227444 53033050557803 106066101115606 212132202231212