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10434224011341 = 3132512181748857
BaseRepresentation
bin1001011111010110100000…
…1101110011100001001101
31100221111120000022112102210
42113311220031303201031
52331423242321330331
634105225532341033
72124563540502114
oct227655015634115
940844500275383
1010434224011341
113363147486709
121206280614779
135a8c34cc3840
1428103a722c7b
151316411d9446
hex97d6837384d

10434224011341 has 32 divisors (see below), whose sum is σ = 15043164006528. Its totient is φ = 6395054976000.

The previous prime is 10434224011319. The next prime is 10434224011349. The reversal of 10434224011341 is 14311042243401.

It is a happy number.

It is not a de Polignac number, because 10434224011341 - 29 = 10434224010829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10434224011299 and 10434224011308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434224011349) 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 31 ways as a sum of consecutive naturals, for example, 213542185 + ... + 213591041.

It is an arithmetic number, because the mean of its divisors is an integer number (470098875204).

Almost surely, 210434224011341 is an apocalyptic number.

It is an amenable number.

10434224011341 is a deficient number, since it is larger than the sum of its proper divisors (4608939995187).

10434224011341 is a wasteful number, since it uses less digits than its factorization.

10434224011341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70941.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 10434224011341 its reverse (14311042243401), we get a palindrome (24745266254742).

The spelling of 10434224011341 in words is "ten trillion, four hundred thirty-four billion, two hundred twenty-four million, eleven thousand, three hundred forty-one".

Divisors: 1 3 13 39 251 753 3263 9789 21817 48857 65451 146571 283621 635141 850863 1905423 5476067 12263107 16428201 36789321 71188871 159420391 213566613 478261173 1065913169 3197739507 13856871197 41570613591 267544205419 802632616257 3478074670447 10434224011341