Search a number
-
+
21331230100121 = 1941101271117199
BaseRepresentation
bin1001101100110100100000…
…11001001000101010011001
32210112020122002202102101202
410312122100121020222121
510243442324401200441
6113211233135123545
74331062524124004
oct466322031105231
983466562672352
1021331230100121
116884584318727
1224861759735b5
13bb96ac576156
1453a61937853b
1526ed1a8b919b
hex136690648a99

21331230100121 has 16 divisors (see below), whose sum is σ = 23229321696000. Its totient is φ = 19520438256000.

The previous prime is 21331230100069. The next prime is 21331230100127. The reversal of 21331230100121 is 12100103213312.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 21331230100121 - 230 = 21330156358297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21331230100093 and 21331230100102.

It is not an unprimeable number, because it can be changed into a prime (21331230100127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 135479921 + ... + 135637278.

It is an arithmetic number, because the mean of its divisors is an integer number (1451832606000).

Almost surely, 221331230100121 is an apocalyptic number.

It is an amenable number.

21331230100121 is a deficient number, since it is larger than the sum of its proper divisors (1898091595879).

21331230100121 is a wasteful number, since it uses less digits than its factorization.

21331230100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271117360.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 21331230100121 its reverse (12100103213312), we get a palindrome (33431333313433).

The spelling of 21331230100121 in words is "twenty-one trillion, three hundred thirty-one billion, two hundred thirty million, one hundred thousand, one hundred twenty-one".

Divisors: 1 19 41 101 779 1919 4141 78679 271117199 5151226781 11115805159 27382837099 211200298021 520273904881 1122696321059 21331230100121