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115231022400241 = 11157371590141863
BaseRepresentation
bin11010001100110101010000…
…001010000100001011110001
3120002222222102002001210212101
4122030311100022010023301
5110100421113213301431
61045024222332100401
733162111104342416
oct3214652012041361
9502888362053771
10115231022400241
1133797225095360
1210b10664304701
134c3b3147ca927
1420652d591210d
15d4c653b3a961
hex68cd502842f1

115231022400241 has 16 divisors (see below), whose sum is σ = 125725467120768. Its totient is φ = 104739728688000.

The previous prime is 115231022400233. The next prime is 115231022400317. The reversal of 115231022400241 is 142004220132511.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 115231022400241 - 23 = 115231022400233 is a prime.

It is a super-3 number, since 3×1152310224002413 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115231022460241) 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 15 ways as a sum of consecutive naturals, for example, 2752553476 + ... + 2752595338.

It is an arithmetic number, because the mean of its divisors is an integer number (7857841695048).

Almost surely, 2115231022400241 is an apocalyptic number.

115231022400241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

115231022400241 is a deficient number, since it is larger than the sum of its proper divisors (10494444720527).

115231022400241 is a wasteful number, since it uses less digits than its factorization.

115231022400241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73512.

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 115231022400241 its reverse (142004220132511), we get a palindrome (257235242532752).

The spelling of 115231022400241 in words is "one hundred fifteen trillion, two hundred thirty-one billion, twenty-two million, four hundred thousand, two hundred forty-one".

Divisors: 1 11 15737 15901 41863 173107 174911 460493 250234037 658798031 665663563 2752574407 7246778341 7322299193 10475547490931 115231022400241