Search a number
-
+
133010345224232 = 2374366191990931
BaseRepresentation
bin11110001111100011100010…
…011000001110100000101000
3122102221122221122122101221222
4132033203202120032200220
5114413220141334133412
61150520035315321212
740005452231004260
oct3617434230164050
9572848848571858
10133010345224232
1139421409340aa3
1212b023675b0208
13592aa8b475a38
1424bba410007a0
151059d8713e072
hex78f8e260e828

133010345224232 has 128 divisors (see below), whose sum is σ = 292412869478400. Its totient is φ = 55533409747200.

The previous prime is 133010345224117. The next prime is 133010345224243. The reversal of 133010345224232 is 232422543010331.

It is a junction number, because it is equal to n+sod(n) for n = 133010345224192 and 133010345224201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1462715807 + ... + 1462806737.

It is an arithmetic number, because the mean of its divisors is an integer number (2284475542800).

Almost surely, 2133010345224232 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 133010345224232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146206434739200).

133010345224232 is an abundant number, since it is smaller than the sum of its proper divisors (159402524254168).

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

133010345224232 is a wasteful number, since it uses less digits than its factorization.

133010345224232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92567 (or 92563 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 133010345224232 its reverse (232422543010331), we get a palindrome (365432888234563).

The spelling of 133010345224232 in words is "one hundred thirty-three trillion, ten billion, three hundred forty-five million, two hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 602 661 919 1204 1322 1838 2408 2644 3676 4627 5288 6433 7352 9254 12866 18508 25732 28423 37016 39517 51464 56846 79034 90931 113692 158068 181862 198961 227384 276619 316136 363724 397922 553238 607459 636517 727448 795844 1106476 1214918 1273034 1591688 2212952 2429836 2546068 3910033 4252213 4859672 5092136 7820066 8504426 15640132 17008852 26120737 27370231 31280264 34017704 52241474 54740462 60105391 83565589 104482948 109480924 120210782 167131178 182845159 208965896 218961848 240421564 334262356 365690318 420737737 480843128 584959123 668524712 731380636 841475474 1169918246 1462761272 1682950948 2339836492 2584531813 3365901896 3593320327 4679672984 5169063626 7186640654 10338127252 14373281308 18091722691 20676254504 25153242289 28746562616 36183445382 50306484578 55236854329 72366890764 100612969156 110473708658 144733781528 201225938312 220947417316 386657980303 441894834632 773315960606 1546631921212 2375184736147 3093263842424 4750369472294 9500738944588 16626293153029 19001477889176 33252586306058 66505172612116 133010345224232