Search a number
-
+
133023201241203 = 32713179554205361
BaseRepresentation
bin11110001111101111100000…
…101010000010100001110011
3122102222220010121111201211200
4132033233200222002201303
5114413423004004204303
61150530003124342243
740006415635232310
oct3617574052024163
9572886117451750
10133023201241203
1139426906213909
1212b04954b44983
13592c059a74480
1424bc5005a9d07
15105a38aaee3a3
hex78fbe0a82873

133023201241203 has 48 divisors (see below), whose sum is σ = 250396614127296. Its totient is φ = 66038667448320.

The previous prime is 133023201241163. The next prime is 133023201241207. The reversal of 133023201241203 is 302142102320331.

133023201241203 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 232 + 0 + 12 + 412 + 0 + 3 = 666.

133023201241203 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 133023201241203 - 230 = 133022127499379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133023201241207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4777088758 + ... + 4777116603.

It is an arithmetic number, because the mean of its divisors is an integer number (5216596127652).

Almost surely, 2133023201241203 is an apocalyptic number.

133023201241203 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

133023201241203 is a deficient number, since it is larger than the sum of its proper divisors (117373412886093).

133023201241203 is a wasteful number, since it uses less digits than its factorization.

133023201241203 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9554205404 (or 9554205401 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 133023201241203 its reverse (302142102320331), we get a palindrome (435165303561534).

The spelling of 133023201241203 in words is "one hundred thirty-three trillion, twenty-three billion, two hundred one million, two hundred forty-one thousand, two hundred three".

Divisors: 1 3 7 9 13 17 21 39 51 63 91 117 119 153 221 273 357 663 819 1071 1547 1989 4641 13923 9554205361 28662616083 66879437527 85987848249 124204669693 162421491137 200638312581 372614009079 487264473411 601914937743 869432687851 1117842027237 1136950437959 1461793420233 2111479384781 2608298063553 3410851313877 6334438154343 7824894190659 10232553941631 14780355693467 19003314463029 44341067080401 133023201241203