Search a number
-
+
21241022014212 = 22373111336088099
BaseRepresentation
bin1001101010001100011111…
…00100100110001100000100
32210012121210100022212001220
410311012033210212030010
510241003103113423322
6113101554002520340
74321420220055000
oct465061744461404
983177710285056
1021241022014212
11684a2a31a1610
12247079b3660b0
13bb10345c8320
145360dc991700
1526c7db13755c
hex13518f926304

21241022014212 has 192 divisors, whose sum is σ = 67903368960000. Its totient is φ = 5092752389760.

The previous prime is 21241022014103. The next prime is 21241022014229.

21241022014212 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17455462 + ... + 18632637.

It is an arithmetic number, because the mean of its divisors is an integer number (353663380000).

Almost surely, 221241022014212 is an apocalyptic number.

21241022014212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21241022014212 is an abundant number, since it is smaller than the sum of its proper divisors (46662346945788).

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

21241022014212 is a wasteful number, since it uses less digits than its factorization.

21241022014212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36088151 (or 36088135 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 2124102 and 2014212, that added together give a palindrome (4138314).

The spelling of 21241022014212 in words is "twenty-one trillion, two hundred forty-one billion, twenty-two million, fourteen thousand, two hundred twelve".