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352033355241 = 327112727116007
BaseRepresentation
bin1010001111101101101…
…00101011010111101001
31020122122210212100101100
411013312310223113221
521231431014331431
6425415532312013
734301500101441
oct5076664532751
91218583770340
10352033355241
11126329719227
1258287312609
1327272c23bc9
1413077931121
1592558044e6
hex51f6d2b5e9

352033355241 has 48 divisors (see below), whose sum is σ = 521665118208. Its totient is φ = 228700130400.

The previous prime is 352033355207. The next prime is 352033355249. The reversal of 352033355241 is 142553330253.

352033355241 is a `hidden beast` number, since 35 + 2 + 0 + 3 + 33 + 552 + 41 = 666.

It is not a de Polignac number, because 352033355241 - 231 = 349885871593 is a prime.

It is a super-2 number, since 2×3520333552412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 352033355196 and 352033355205.

It is not an unprimeable number, because it can be changed into a prime (352033355249) 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 47 ways as a sum of consecutive naturals, for example, 21984460 + ... + 22000466.

It is an arithmetic number, because the mean of its divisors is an integer number (10868023296).

Almost surely, 2352033355241 is an apocalyptic number.

It is an amenable number.

352033355241 is a deficient number, since it is larger than the sum of its proper divisors (169631762967).

352033355241 is a wasteful number, since it uses less digits than its factorization.

352033355241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16482 (or 16479 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 352033355241 its reverse (142553330253), we get a palindrome (494586685494).

The spelling of 352033355241 in words is "three hundred fifty-two billion, thirty-three million, three hundred fifty-five thousand, two hundred forty-one".

Divisors: 1 3 9 71 127 213 271 381 639 813 1143 2439 9017 16007 19241 27051 34417 48021 57723 81153 103251 144063 173169 309753 1136497 2032889 2443607 3409491 4337897 6098667 7330821 10228473 13013691 18296001 21992463 39041073 144335119 307990687 433005357 550912919 923972061 1299016071 1652738757 2771916183 4958216271 39114817249 117344451747 352033355241