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10432250410401 = 3241103345779399
BaseRepresentation
bin1001011111001111001010…
…0101000111010110100001
31100221022110110122012220200
42113303302211013112201
52331410222101113101
634104302031255413
72124463614250401
oct227636245072641
940838413565820
1010432250410401
113362324430056
121205a0b67a569
135a89ac160431
14280cd057a801
15131577cdd986
hex97cf29475a1

10432250410401 has 48 divisors (see below), whose sum is σ = 15590910316800. Its totient is φ = 6717299466240.

The previous prime is 10432250410381. The next prime is 10432250410411. The reversal of 10432250410401 is 10401405223401.

10432250410401 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 2 + 250 + 4 + 1 + 0 + 401 = 666.

It is a de Polignac number, because none of the positive numbers 2k-10432250410401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10432250410411) 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, 131350500 + ... + 131429898.

It is an arithmetic number, because the mean of its divisors is an integer number (324810631600).

Almost surely, 210432250410401 is an apocalyptic number.

It is an amenable number.

10432250410401 is a deficient number, since it is larger than the sum of its proper divisors (5158659906399).

10432250410401 is a wasteful number, since it uses less digits than its factorization.

10432250410401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83006 (or 83003 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10432250410401 its reverse (10401405223401), we get a palindrome (20833655633802).

The spelling of 10432250410401 in words is "ten trillion, four hundred thirty-two billion, two hundred fifty million, four hundred ten thousand, four hundred one".

Divisors: 1 3 9 41 103 123 309 369 927 3457 4223 10371 12669 31113 38007 79399 141737 238197 356071 425211 714591 1068213 1275633 3204639 3255359 8178097 9766077 14598911 24534291 29298231 43796733 73602873 131390199 274482343 335301977 823447029 1005905931 2470341087 3017717793 11253776063 28271681329 33761328189 84815043987 101283984567 254445131961 1159138934489 3477416803467 10432250410401