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133203401331 = 37111383547977
BaseRepresentation
bin111110000001110001…
…0101001101001110011
3110201211011200220010120
41330003202221221303
54140300032320311
6141105351101323
712423622141560
oct1740342515163
9421734626116
10133203401331
1151544935a50
1221995671843
13c73a764590
146638adb867
1536e91d4706
hex1f038a9a73

133203401331 has 128 divisors (see below), whose sum is σ = 242023735296. Its totient is φ = 62924359680.

The previous prime is 133203401329. The next prime is 133203401339. The reversal of 133203401331 is 133104302331.

It is a happy number.

It is not a de Polignac number, because 133203401331 - 21 = 133203401329 is a prime.

It is a super-3 number, since 3×1332034013313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (133203401339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136338715 + ... + 136339691.

It is an arithmetic number, because the mean of its divisors is an integer number (1890810432).

Almost surely, 2133203401331 is an apocalyptic number.

133203401331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133203401331 is a deficient number, since it is larger than the sum of its proper divisors (108820333965).

133203401331 is a wasteful number, since it uses less digits than its factorization.

133203401331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641.

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

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

The spelling of 133203401331 in words is "one hundred thirty-three billion, two hundred three million, four hundred one thousand, three hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 39 77 83 91 143 231 249 273 429 547 581 913 977 1001 1079 1641 1743 2739 2931 3003 3237 3829 6017 6391 6839 7111 7553 10747 11487 11869 12701 18051 19173 20517 21333 22659 32241 35607 38103 42119 45401 49777 75229 78221 81091 83083 88907 126357 136203 139711 149331 225687 234663 243273 249249 266721 317807 419133 499411 534419 547547 567637 590213 892001 953421 977977 1054183 1498233 1603257 1642641 1702911 1770639 2676003 2933931 3162549 3495877 3740933 4131491 5878609 6244007 6492343 6947447 7379281 10487631 11222799 11596013 12394473 17635827 18732021 19477029 20842341 22137843 34788039 41150263 44356777 45446401 48632129 76421917 81172091 123450789 133070331 136339203 145896387 229265751 243516273 310497439 487924547 534953419 576638101 931492317 1463773641 1604860257 1729914303 3415471829 4036466707 6343019111 10246415487 12109400121 19029057333 44401133777 133203401331