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232401200115441 = 37319101117692291
BaseRepresentation
bin110100110101111000011110…
…111110100110111011110001
31010110212100010012222012220110
4310311320132332212323301
5220430130124212143231
62142135345404331533
766644301250152000
oct6465703676467361
91113770105865813
10232401200115441
1168060882862025
1222094aab843ba9
139c8a4541056b6
1441563c7182c37
151bd044dc9e046
hexd35e1efa6ef1

232401200115441 has 64 divisors (see below), whose sum is σ = 384147641088000. Its totient is φ = 124565519736000.

The previous prime is 232401200115439. The next prime is 232401200115443. The reversal of 232401200115441 is 144511002104232.

It is an interprime number because it is at equal distance from previous prime (232401200115439) and next prime (232401200115443).

It is not a de Polignac number, because 232401200115441 - 21 = 232401200115439 is a prime.

It is a super-3 number, since 3×2324012001154413 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232401200115399 and 232401200115408.

It is not an unprimeable number, because it can be changed into a prime (232401200115443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56871495 + ... + 60820796.

It is an arithmetic number, because the mean of its divisors is an integer number (6002306892000).

Almost surely, 2232401200115441 is an apocalyptic number.

232401200115441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

232401200115441 is a deficient number, since it is larger than the sum of its proper divisors (151746440972559).

232401200115441 is a wasteful number, since it uses less digits than its factorization.

232401200115441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117692435 (or 117692421 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 232401200115441 its reverse (144511002104232), we get a palindrome (376912202219673).

The spelling of 232401200115441 in words is "two hundred thirty-two trillion, four hundred one billion, two hundred million, one hundred fifteen thousand, four hundred forty-one".

Divisors: 1 3 7 19 21 49 57 101 133 147 303 343 399 707 931 1029 1919 2121 2793 4949 5757 6517 13433 14847 19551 34643 40299 94031 103929 282093 658217 1974651 117692291 353076873 823846037 2236153529 2471538111 5766922259 6708460587 11886921391 15653074703 17300766777 35660764173 40368455813 46959224109 83208449737 109571522921 121105367439 225851506429 249625349211 328714568763 582459148159 677554519287 767000660447 1580960545003 1747377444477 2301001981341 4077214037113 4742881635009 11066723815021 12231642111339 33200171445063 77467066705147 232401200115441