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21332203120011 = 3743157150469441
BaseRepresentation
bin1001101100110110010100…
…11000111010010110001011
32210112100010220122221202110
410312123022120322112023
510244001322444320021
6113211513454233403
74331125610504460
oct466331230722613
983470126587673
1021332203120011
116884a335939a3
1224863a77b5863
13bb9806027a74
1453a6ac6a1667
1526ed7601b476
hex1366ca63a58b

21332203120011 has 32 divisors (see below), whose sum is σ = 33474033945088. Its totient is φ = 11830509250560.

The previous prime is 21332203119991. The next prime is 21332203120049. The reversal of 21332203120011 is 11002130223312.

It is not a de Polignac number, because 21332203120011 - 215 = 21332203087243 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21332203120011.

It is not an unprimeable number, because it can be changed into a prime (21332203120051) 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 31 ways as a sum of consecutive naturals, for example, 75092950 + ... + 75376491.

It is an arithmetic number, because the mean of its divisors is an integer number (1046063560784).

Almost surely, 221332203120011 is an apocalyptic number.

21332203120011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21332203120011 is a deficient number, since it is larger than the sum of its proper divisors (12141830825077).

21332203120011 is a wasteful number, since it uses less digits than its factorization.

21332203120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150469651.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 21332203120011 its reverse (11002130223312), we get a palindrome (32334333343323).

The spelling of 21332203120011 in words is "twenty-one trillion, three hundred thirty-two billion, two hundred three million, one hundred twenty thousand, eleven".

Divisors: 1 3 7 21 43 129 157 301 471 903 1099 3297 6751 20253 47257 141771 150469441 451408323 1053286087 3159858261 6470185963 19410557889 23623702237 45291301741 70871106711 135873905223 165365915659 496097746977 1015819196191 3047457588573 7110734373337 21332203120011