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1087814332241 = 7133112717317551
BaseRepresentation
bin11111101010001101100…
…10010110111101010001
310211222211122120201002122
433311012302112331101
5120310320432112431
62151422432224025
7141410024155250
oct17650662267521
93758748521078
101087814332241
1138a38091649a
121569aa99b015
137b771336b90
143a916d58797
151d46aca7a7b
hexfd46c96f51

1087814332241 has 64 divisors (see below), whose sum is σ = 1401050628096. Its totient is φ = 821542176000.

The previous prime is 1087814332211. The next prime is 1087814332243. The reversal of 1087814332241 is 1422334187801.

It is not a de Polignac number, because 1087814332241 - 210 = 1087814331217 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1087814332192 and 1087814332201.

It is not an unprimeable number, because it can be changed into a prime (1087814332243) 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 63 ways as a sum of consecutive naturals, for example, 61971416 + ... + 61988966.

It is an arithmetic number, because the mean of its divisors is an integer number (21891416064).

Almost surely, 21087814332241 is an apocalyptic number.

It is an amenable number.

1087814332241 is a deficient number, since it is larger than the sum of its proper divisors (313236295855).

1087814332241 is a wasteful number, since it uses less digits than its factorization.

1087814332241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17902.

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 1087814332241 in words is "one trillion, eighty-seven billion, eight hundred fourteen million, three hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 7 13 31 91 127 173 217 403 889 1211 1651 2249 2821 3937 5363 11557 15743 17551 21971 27559 37541 51181 69719 122857 153797 228163 285623 358267 488033 544081 681101 1597141 1999361 2228977 3036323 3808567 4767707 7073053 8854313 15602839 21254261 28976701 39472199 49511371 61980191 69098287 94126013 202836907 276305393 385613021 483688009 658882091 898277731 1223638169 2699291147 5012969273 6287944117 8565467183 11954003651 35090784911 83678025557 155402047463 1087814332241