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20123322230331 = 3319547109165731
BaseRepresentation
bin1001001001101010100110…
…11110010010011000111011
32122020202210220222220102000
410210311103132102120323
510114200030442332311
6110444305425312043
74144601453464665
oct444652336223073
978222726886360
1020123322230331
11645928686aa61
12231004ba95623
13b2c80c864a68
144d7d8c8c9535
1524d6c1831056
hex124d5379263b

20123322230331 has 64 divisors (see below), whose sum is σ = 31468064409600. Its totient is φ = 12674410912800.

The previous prime is 20123322230311. The next prime is 20123322230371. The reversal of 20123322230331 is 13303222332102.

20123322230331 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 3 + 322 + 2 + 3 + 0 + 331 = 666.

It is not a de Polignac number, because 20123322230331 - 27 = 20123322230203 is a prime.

It is a super-2 number, since 2×201233222303312 (a number of 27 digits) contains 22 as substring.

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 = 20123322230295 and 20123322230304.

It is not an unprimeable number, because it can be changed into a prime (20123322230311) 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 63 ways as a sum of consecutive naturals, for example, 306113736 + ... + 306179466.

It is an arithmetic number, because the mean of its divisors is an integer number (491688506400).

Almost surely, 220123322230331 is an apocalyptic number.

20123322230331 is a deficient number, since it is larger than the sum of its proper divisors (11344742179269).

20123322230331 is a wasteful number, since it uses less digits than its factorization.

20123322230331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67397 (or 67391 counting only the distinct ones).

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

Adding to 20123322230331 its reverse (13303222332102), we get a palindrome (33426544562433).

The spelling of 20123322230331 in words is "twenty trillion, one hundred twenty-three billion, three hundred twenty-two million, two hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 9 19 27 57 171 513 547 1091 1641 3273 4923 9819 10393 14769 20729 29457 31179 62187 65731 93537 186561 197193 280611 559683 591579 596777 1248889 1774737 1790331 3746667 5370993 11240001 11338763 16112979 33720003 34016289 35954857 71712521 102048867 107864571 215137563 306146601 323593713 645412689 683142283 970781139 1362537899 1936238067 2049426849 4087613697 6148280547 12262841091 18444841641 36788523273 39226748987 117680246961 353040740883 745308230753 1059122222649 2235924692259 6707774076777 20123322230331