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133104302331 = 371113177333557
BaseRepresentation
bin111101111110110100…
…0100111100011111011
3110201120021020010212020
41323331220213203323
54140044200133311
6141051451045523
712421306621320
oct1737550474373
9421507203766
10133104302331
11514a39aa450
12219684408a3
13c723077c10
1466298a2b47
1536e065bc06
hex1efda278fb

133104302331 has 128 divisors (see below), whose sum is σ = 252716599296. Its totient is φ = 59972935680.

The previous prime is 133104302321. The next prime is 133104302333. The reversal of 133104302331 is 133203401331.

It is a happy number.

It is not a de Polignac number, because 133104302331 - 25 = 133104302299 is a prime.

It is a super-2 number, since 2×1331043023312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133104302333) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37418605 + ... + 37422161.

It is an arithmetic number, because the mean of its divisors is an integer number (1974348432).

Almost surely, 2133104302331 is an apocalyptic number.

133104302331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133104302331 is a deficient number, since it is larger than the sum of its proper divisors (119612296965).

133104302331 is a wasteful number, since it uses less digits than its factorization.

133104302331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4341.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 133104302331 its reverse (133203401331), we get a palindrome (266307703662).

The spelling of 133104302331 in words is "one hundred thirty-three billion, one hundred four million, three hundred two thousand, three hundred thirty-one".

Divisors: 1 3 7 11 13 17 21 33 39 51 77 91 119 143 187 221 231 273 357 429 561 663 733 1001 1309 1547 2199 2431 3003 3557 3927 4641 5131 7293 8063 9529 10671 12461 15393 17017 24189 24899 28587 37383 39127 46241 51051 56441 60469 66703 74697 87227 104819 117381 137071 138723 161993 169323 181407 200109 261681 273889 314457 323687 411213 423283 485979 508651 665159 733733 786097 821667 959497 971061 1133951 1269849 1525953 1781923 1995477 2201199 2358291 2607281 2878491 3401853 3560557 4656113 5345769 5502679 7821843 8647067 10681671 12473461 13968339 16508037 18250967 25941201 28680091 33894653 37420383 44323777 54752901 60529469 86040273 101683959 132971331 181588407 200760637 237262571 310266439 372841183 487561547 576209101 602281911 711787713 930799317 1118523549 1462684641 1728627303 2609888281 3412930829 4033463707 6338300111 7829664843 10238792487 12100391121 19014900333 44368100777 133104302331