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21232311213033 = 335236432338411
BaseRepresentation
bin1001101001111100010000…
…10111100001101111101001
32210011210022021102022021000
410310332020113201233221
510240332233132304113
6113053553352105213
74320661315346124
oct464761027415751
983153267368230
1021232311213033
116846633177778
12246ab6a095209
13bb0276a336bb
14535913b3b3bb
1526c47b534373
hex134f885e1be9

21232311213033 has 32 divisors (see below), whose sum is σ = 31564446394880. Its totient is φ = 14105831631120.

The previous prime is 21232311213011. The next prime is 21232311213067. The reversal of 21232311213033 is 33031211323212.

21232311213033 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 231 + 121 + 303 + 3 = 666.

It is not a de Polignac number, because 21232311213033 - 26 = 21232311212969 is a prime.

It is a super-3 number, since 3×212323112130333 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21232311212988 and 21232311213006.

It is not an unprimeable number, because it can be changed into a prime (21232311213133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7910598 + ... + 10249008.

It is an arithmetic number, because the mean of its divisors is an integer number (986388949840).

Almost surely, 221232311213033 is an apocalyptic number.

It is an amenable number.

21232311213033 is a deficient number, since it is larger than the sum of its proper divisors (10332135181847).

21232311213033 is a wasteful number, since it uses less digits than its factorization.

21232311213033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339586 (or 2339580 counting only the distinct ones).

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

Adding to 21232311213033 its reverse (33031211323212), we get a palindrome (54263522536245).

The spelling of 21232311213033 in words is "twenty-one trillion, two hundred thirty-two billion, three hundred eleven million, two hundred thirteen thousand, thirty-three".

Divisors: 1 3 9 27 523 643 1569 1929 4707 5787 14121 17361 336289 1008867 2338411 3026601 7015233 9079803 21045699 63137097 1222988953 1503598273 3668966859 4510794819 11006900577 13532384457 33020701731 40597153371 786381896779 2359145690337 7077437071011 21232311213033