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21321303121233 = 3317377915891769
BaseRepresentation
bin1001101100100010000001…
…01100101101110101010001
32210111022000021101122102000
410312101000230231311101
510243312012044334413
6113202512121344213
74330261524160413
oct466210054556521
983438007348360
1021321303121233
11688034a848545
122484265338069
13bb8789a4464b
14539d56bc29b3
1526e939132073
hex136440b2dd51

21321303121233 has 64 divisors (see below), whose sum is σ = 34783906176000. Its totient is φ = 12851736348672.

The previous prime is 21321303121193. The next prime is 21321303121241. The reversal of 21321303121233 is 33212130312312.

21321303121233 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 1 + 303 + 121 + 233 = 666.

It is not a de Polignac number, because 21321303121233 - 217 = 21321302990161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21321303121197 and 21321303121206.

It is not an unprimeable number, because it can be changed into a prime (21321303141233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6604228 + ... + 9287541.

It is an arithmetic number, because the mean of its divisors is an integer number (543498534000).

Almost surely, 221321303121233 is an apocalyptic number.

It is an amenable number.

21321303121233 is a deficient number, since it is larger than the sum of its proper divisors (13462603054767).

21321303121233 is a wasteful number, since it uses less digits than its factorization.

21321303121233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15891911 (or 15891905 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 21321303121233 its reverse (33212130312312), we get a palindrome (54533433433545).

The spelling of 21321303121233 in words is "twenty-one trillion, three hundred twenty-one billion, three hundred three million, one hundred twenty-one thousand, two hundred thirty-three".

Divisors: 1 3 9 17 27 37 51 79 111 153 237 333 459 629 711 999 1343 1887 2133 2923 4029 5661 8769 12087 16983 26307 36261 49691 78921 149073 447219 1341657 15891769 47675307 143025921 270160073 429077763 587995453 810480219 1255449751 1763986359 2431440657 3766349253 5291959077 7294321971 9995922701 11299047759 15875877231 21342645767 29987768103 33897143277 46451640787 64027937301 89963304309 139354922361 192083811903 269889912927 418064767083 576251435709 789677893379 1254194301249 2369033680137 7107101040411 21321303121233