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22322320031331 = 331998534870499
BaseRepresentation
bin1010001001101010100011…
…11101001011111001100011
32221000222210212022110022000
411010311101331023321203
510411212102412000311
6115250422100015043
74462506620420055
oct504652175137143
987028725273260
1022322320031331
11712692a797001
12260626b991483
13c5bca78bb228
145725982d98d5
1528a9c4cba056
hex144d51f4be63

22322320031331 has 32 divisors (see below), whose sum is σ = 33275256000000. Its totient is φ = 14789403550944.

The previous prime is 22322320031329. The next prime is 22322320031359. The reversal of 22322320031331 is 13313002322322.

22322320031331 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 2 + 320 + 0 + 3 + 1 + 331 = 666.

It is not a de Polignac number, because 22322320031331 - 21 = 22322320031329 is a prime.

It is a super-3 number, since 3×223223200313313 (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 junction number, because it is equal to n+sod(n) for n = 22322320031295 and 22322320031304.

It is not an unprimeable number, because it can be changed into a prime (22322320031371) 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, 2147920 + ... + 7018418.

It is an arithmetic number, because the mean of its divisors is an integer number (1039851750000).

Almost surely, 222322320031331 is an apocalyptic number.

22322320031331 is a deficient number, since it is larger than the sum of its proper divisors (10952935968669).

22322320031331 is a wasteful number, since it uses less digits than its factorization.

22322320031331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4871560 (or 4871554 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 22322320031331 its reverse (13313002322322), we get a palindrome (35635322353653).

The spelling of 22322320031331 in words is "twenty-two trillion, three hundred twenty-two billion, three hundred twenty million, thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 199 597 853 1791 2559 5373 7677 23031 169747 509241 1527723 4583169 4870499 14611497 43834491 131503473 969229301 2907687903 4154535647 8723063709 12463606941 26169191127 37390820823 112172462469 826752593753 2480257781259 7440773343777 22322320031331