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133022303541 = 3537711911091
BaseRepresentation
bin111101111100010111…
…1110100010100110101
3110201100112221011200000
41323320233310110311
54134412202203131
6141035401341513
712416262631641
oct1737057642465
9421315834600
10133022303541
1151461693556
1221944a97899
13c70c097b1a
14661ca39c21
1536d8360ce6
hex1ef8bf4535

133022303541 has 96 divisors (see below), whose sum is σ = 208805216256. Its totient is φ = 84546504000.

The previous prime is 133022303537. The next prime is 133022303543. The reversal of 133022303541 is 145303220331.

133022303541 is a `hidden beast` number, since 1 + 3 + 302 + 2 + 3 + 0 + 354 + 1 = 666.

It is not a de Polignac number, because 133022303541 - 22 = 133022303537 is a prime.

It is a super-2 number, since 2×1330223035412 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133022303543) 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, 121926406 + ... + 121927496.

It is an arithmetic number, because the mean of its divisors is an integer number (2175054336).

Almost surely, 2133022303541 is an apocalyptic number.

It is an amenable number.

133022303541 is a deficient number, since it is larger than the sum of its proper divisors (75782912715).

133022303541 is a wasteful number, since it uses less digits than its factorization.

133022303541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 133022303541 its reverse (145303220331), we get a palindrome (278325523872).

The spelling of 133022303541 in words is "one hundred thirty-three billion, twenty-two million, three hundred three thousand, five hundred forty-one".

Divisors: 1 3 9 27 37 71 81 111 191 213 243 333 573 639 999 1091 1719 1917 2627 2997 3273 5157 5751 7067 7881 8991 9819 13561 15471 17253 21201 23643 29457 40367 40683 46413 63603 70929 77461 88371 121101 122049 190809 208381 212787 232383 265113 363303 366147 501757 572427 625143 638361 697149 1089909 1098441 1505271 1717281 1875429 2091447 2866057 3269727 3295323 4515813 5626287 6274341 7710097 8598171 9809181 13547439 14795051 16878861 18823023 23130291 25794513 40642317 44385153 50636583 69390873 77383539 121926951 133155459 208172619 232150617 399466377 547416887 624517857 696451851 1198399131 1642250661 1873553571 3595197393 4926751983 14780255949 44340767847 133022303541