Search a number
-
+
21242312112032 = 25111710739330557
BaseRepresentation
bin1001101010001110111000…
…11101111011011110100000
32210012202010020212121120122
410311013130131323132200
510241013223400041112
6113102330010055412
74321464203524064
oct465073435733640
983182106777518
1021242312112032
11684a8a5446160
122470a9b41a568
13bb11ab97710b
145361c2055aa4
1526c86451d872
hex1351dc77b7a0

21242312112032 has 96 divisors (see below), whose sum is σ = 48311025255360. Its totient is φ = 9086746439680.

The previous prime is 21242312112013. The next prime is 21242312112199. The reversal of 21242312112032 is 23021121324212.

It is a junction number, because it is equal to n+sod(n) for n = 21242312111992 and 21242312112010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64096898 + ... + 64427454.

It is an arithmetic number, because the mean of its divisors is an integer number (503239846410).

Almost surely, 221242312112032 is an apocalyptic number.

21242312112032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21242312112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24155512627680).

21242312112032 is an abundant number, since it is smaller than the sum of its proper divisors (27068713143328).

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

21242312112032 is a wasteful number, since it uses less digits than its factorization.

21242312112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341334 (or 341326 counting only the distinct ones).

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

Adding to 21242312112032 its reverse (23021121324212), we get a palindrome (44263433436244).

The spelling of 21242312112032 in words is "twenty-one trillion, two hundred forty-two billion, three hundred twelve million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5984 10739 21478 42956 85912 118129 171824 182563 236258 330557 343648 365126 472516 661114 730252 945032 1322228 1460504 1890064 2008193 2644456 2921008 3636127 3780128 4016386 5288912 5619469 5842016 7272254 8032772 10577824 11238938 14544508 16065544 22477876 29089016 32131088 44955752 58178032 61814159 64262176 89911504 116356064 123628318 179823008 247256636 494513272 989026544 1978053088 3549851623 7099703246 14199406492 28398812984 39048367853 56797625968 60347477591 78096735706 113595251936 120694955182 156193471412 241389910364 312386942824 482779820728 624773885648 663822253501 965559641456 1249547771296 1327644507002 1931119282912 2655289014004 5310578028008 10621156056016 21242312112032