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133121420444103 = 37132371099300659
BaseRepresentation
bin11110010001001010111110…
…111110100100000111000111
3122110100021122200021012201020
4132101022332332210013013
5114422030132113202403
61151043045235002223
740016463616542450
oct3621127676440707
9573307580235636
10133121420444103
1139464528410773
1212b1b9a6439373
1359383b0658500
1424c317ad12127
15105cbd8825453
hex7912befa41c7

133121420444103 has 96 divisors (see below), whose sum is σ = 227662299532800. Its totient is φ = 67693313945088.

The previous prime is 133121420444041. The next prime is 133121420444123. The reversal of 133121420444103 is 301444024121331.

It is a happy number.

It is not a de Polignac number, because 133121420444103 - 232 = 133117125476807 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133121420444123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9662788 + ... + 18963446.

It is an arithmetic number, because the mean of its divisors is an integer number (2371482286800).

Almost surely, 2133121420444103 is an apocalyptic number.

133121420444103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

133121420444103 is a deficient number, since it is larger than the sum of its proper divisors (94540879088697).

133121420444103 is a wasteful number, since it uses less digits than its factorization.

133121420444103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9300841 (or 9300828 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 133121420444103 its reverse (301444024121331), we get a palindrome (434565444565434).

The spelling of 133121420444103 in words is "one hundred thirty-three trillion, one hundred twenty-one billion, four hundred twenty million, four hundred forty-four thousand, one hundred three".

Divisors: 1 3 7 13 21 37 39 91 109 111 169 259 273 327 481 507 763 777 1183 1417 1443 2289 3367 3549 4033 4251 6253 9919 10101 12099 18421 18759 28231 29757 43771 52429 55263 84693 128947 131313 157287 367003 386841 681577 1101009 2044731 4771039 9300659 14313117 27901977 65104613 120908567 195313839 344124383 362725701 846359969 1013771831 1032373149 1571811371 2408870681 2539079907 3041315493 4473616979 4715434113 7096402817 7226612043 11002679597 13179033803 13420850937 21289208451 31315318853 33008038791 37509557747 39537101409 58157020727 92253236621 93945956559 112528673241 171327439439 174471062181 262566904229 276759709863 407099145089 487624250711 513982318317 787700712687 1199292076073 1221297435267 1462872752133 3413369754977 3597876228219 6339115259243 10240109264931 19017345777729 44373806814701 133121420444103