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133041113252103 = 37217598310871501
BaseRepresentation
bin11110010000000000001100…
…010010111100000100000111
3122110001121100221010011111210
4132100000030102330010013
5114414221144443031403
61150542124345102503
740010621544635400
oct3620001422740407
9573047327104453
10133041113252103
1139433468068801
1212b08313787a33
1359309529a81a4
1424bd31d4509a7
15105aa883c6b03
hex79000c4bc107

133041113252103 has 96 divisors (see below), whose sum is σ = 224867886808320. Its totient is φ = 69491323776000.

The previous prime is 133041113252093. The next prime is 133041113252107. The reversal of 133041113252103 is 301252311140331.

It is not a de Polignac number, because 133041113252103 - 26 = 133041113252039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133041113252107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6801853 + ... + 17673353.

It is an arithmetic number, because the mean of its divisors is an integer number (2342373820920).

Almost surely, 2133041113252103 is an apocalyptic number.

133041113252103 is a deficient number, since it is larger than the sum of its proper divisors (91826773556217).

133041113252103 is a wasteful number, since it uses less digits than its factorization.

133041113252103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10871677 (or 10871670 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 133041113252103 its reverse (301252311140331), we get a palindrome (434293424392434).

The spelling of 133041113252103 in words is "one hundred thirty-three trillion, forty-one billion, one hundred thirteen million, two hundred fifty-two thousand, one hundred three".

Divisors: 1 3 7 17 21 49 51 59 83 119 147 177 249 357 413 581 833 1003 1239 1411 1743 2499 2891 3009 4067 4233 4897 7021 8673 9877 12201 14691 21063 29631 34279 49147 69139 83249 102837 147441 207417 239953 249747 582743 719859 1748229 4079201 10871501 12237603 32614503 76100507 184815517 228301521 532703549 554446551 641418559 902334583 1293708619 1598110647 1924255677 2707003749 3881125857 4489929913 6316342081 9055960333 10904115503 13469789739 15339687911 18949026243 27167880999 31429509391 32712346509 44214394567 46019063733 53237740397 76328808521 94288528173 107377815377 132643183701 159713221191 228986425563 322133446131 372664182779 534301659647 751644707639 905041586749 1117992548337 1602904978941 2254934122917 2608649279453 2715124760247 6335291107243 7825947838359 19005873321729 44347037750701 133041113252103