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201230144322324 = 223133780394336753
BaseRepresentation
bin101101110000010010001011…
…010001010011101100010100
3222101111102011202012101221020
4231300102023101103230110
5202333423313421303244
61551551504015321140
760246253365451305
oct5560221321235424
9871442152171836
10201230144322324
1159133252457a17
121a69b9002201b0
138838bc8b004b0
14379983b8047ac
15183e6d03b0d19
hexb7048b453b14

201230144322324 has 96 divisors (see below), whose sum is σ = 519386312175360. Its totient is φ = 60236028131328.

The previous prime is 201230144322323. The next prime is 201230144322349. The reversal of 201230144322324 is 423223441032102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201230144322323) 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, 44232732 + ... + 48569484.

It is an arithmetic number, because the mean of its divisors is an integer number (5410274085160).

Almost surely, 2201230144322324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201230144322324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259693156087680).

201230144322324 is an abundant number, since it is smaller than the sum of its proper divisors (318156167853036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201230144322324 is a wasteful number, since it uses less digits than its factorization.

201230144322324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4344849 (or 4344847 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 201230144322324 its reverse (423223441032102), we get a palindrome (624453585354426).

The spelling of 201230144322324 in words is "two hundred one trillion, two hundred thirty billion, one hundred forty-four million, three hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 962 1443 1924 2886 5772 8039 16078 24117 32156 48234 96468 104507 209014 297443 313521 418028 594886 627042 892329 1189772 1254084 1784658 3569316 3866759 4336753 7733518 8673506 11600277 13010259 15467036 17347012 23200554 26020518 46401108 52041036 56377789 112755578 160459861 169133367 225511156 320919722 338266734 481379583 641839444 676533468 962759166 1925518332 2085978193 4171956386 6257934579 8343912772 12515869158 25031738316 34863157367 69726314734 104589472101 139452629468 209178944202 418357888404 453221045771 906442091542 1289936822579 1359663137313 1812884183084 2579873645158 2719326274626 3869810467737 5159747290316 5438652549252 7739620935474 15479241870948 16769178693527 33538357387054 50307536080581 67076714774108 100615072161162 201230144322324