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21242311324212 = 22311374349367593
BaseRepresentation
bin1001101010001110111000…
…11010111011001000110100
32210012202010012101120220010
410311013130122323020310
510241013223144333322
6113102325541140220
74321464164033166
oct465073432731064
983182105346803
1021242311324212
11684a8a4a58270
122470a9b0ba670
13bb11ab75c654
145361c1ccc936
1526c86441520c
hex1351dc6bb234

21242311324212 has 48 divisors (see below), whose sum is σ = 55532725440192. Its totient is φ = 6263089332480.

The previous prime is 21242311324193. The next prime is 21242311324219.

21242311324212 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21242311324212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21242311324219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2174678913 + ... + 2174688680.

It is an arithmetic number, because the mean of its divisors is an integer number (1156931780004).

Almost surely, 221242311324212 is an apocalyptic number.

21242311324212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21242311324212 is an abundant number, since it is smaller than the sum of its proper divisors (34290414115980).

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

21242311324212 is a wasteful number, since it uses less digits than its factorization.

21242311324212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4349367648 (or 4349367646 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 2124231 and 1324212, that added together give a palindrome (3448443).

The spelling of 21242311324212 in words is "twenty-one trillion, two hundred forty-two billion, three hundred eleven million, three hundred twenty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 4349367593 8698735186 13048102779 17397470372 26096205558 47843043523 52192411116 95686087046 143529130569 160926600941 191372174092 287058261138 321853201882 482779802823 574116522276 643706403764 965559605646 1770192610351 1931119211292 3540385220702 5310577831053 7080770441404 10621155662106 21242311324212