Search a number
-
+
133322024430021 = 37223437001130987
BaseRepresentation
bin11110010100000101110011…
…111010000010100111000101
3122111001110110010001120010110
4132110011303322002213011
5114433322001223230041
61151315143102343233
740040125023356400
oct3624056372024705
9574043403046113
10133322024430021
113953160a102489
1212b5285028ab19
13595129cb3a5ab
1424ccb6b2d6d37
151063029d03516
hex794173e829c5

133322024430021 has 96 divisors (see below), whose sum is σ = 220827106925568. Its totient is φ = 71166265632000.

The previous prime is 133322024430011. The next prime is 133322024430031. The reversal of 133322024430021 is 120034420223331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133322024430011) and next prime (133322024430031).

It is not a de Polignac number, because 133322024430021 - 237 = 133184585476549 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133322024430011) 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 95 ways as a sum of consecutive naturals, for example, 1017760890 + ... + 1017891876.

It is an arithmetic number, because the mean of its divisors is an integer number (2300282363808).

Almost surely, 2133322024430021 is an apocalyptic number.

It is an amenable number.

133322024430021 is a deficient number, since it is larger than the sum of its proper divisors (87505082495547).

133322024430021 is a wasteful number, since it uses less digits than its factorization.

133322024430021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138071 (or 138064 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 133322024430021 its reverse (120034420223331), we get a palindrome (253356444653352).

The spelling of 133322024430021 in words is "one hundred thirty-three trillion, three hundred twenty-two billion, twenty-four million, four hundred thirty thousand, twenty-one".

Divisors: 1 3 7 21 23 43 49 69 129 147 161 301 483 903 989 1127 2107 2967 3381 6321 6923 7001 20769 21003 48461 49007 130987 145383 147021 161023 301043 343049 392961 483069 903129 916909 1029147 1127161 2107301 2750727 3012701 3381483 5632441 6321903 6418363 6923989 7890127 9038103 14751107 16897323 19255089 20771967 21088907 23670381 39427087 44253321 48467923 63266721 118281261 129546143 145403769 147622349 275989609 339275461 388638429 442867047 827968827 906823001 917039987 1017826383 2720469003 2751119961 6347761007 6419279909 19043283021 19257839727 21091919701 39432719441 44934959363 63275759103 118298158323 134804878089 147643437907 276029036087 442930313721 828087108261 906952547143 1033504065349 1932203252609 2720857641429 3100512196047 5796609757827 6348667830001 19046003490003 44440674810007 133322024430021