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113122230321023 = 73112131128316217
BaseRepresentation
bin11001101110001001010010…
…010110101011111101111111
3112211112101020201201201022222
4121232021102112223331333
5104311343311430233043
61040331345111155555
732553545215412000
oct3156112226537577
9484471221651288
10113122230321023
1133053960a20200
121082ba1a075bbb
134b174c40a51b1
141dd12064711a7
15d1287eb17d68
hex66e2525abf7f

113122230321023 has 96 divisors (see below), whose sum is σ = 146233839628800. Its totient is φ = 87400743830400.

The previous prime is 113122230320971. The next prime is 113122230321029. The reversal of 113122230321023 is 320123032221311.

It is not a de Polignac number, because 113122230321023 - 220 = 113122229272447 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113122230320983 and 113122230321001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113122230321029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6975525611 + ... + 6975541827.

It is an arithmetic number, because the mean of its divisors is an integer number (1523269162800).

Almost surely, 2113122230321023 is an apocalyptic number.

113122230321023 is a deficient number, since it is larger than the sum of its proper divisors (33111609307777).

113122230321023 is a wasteful number, since it uses less digits than its factorization.

113122230321023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17674 (or 17649 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 113122230321023 its reverse (320123032221311), we get a palindrome (433245262542334).

The spelling of 113122230321023 in words is "one hundred thirteen trillion, one hundred twenty-two billion, two hundred thirty million, three hundred twenty-one thousand, twenty-three".

Divisors: 1 7 11 49 77 121 131 343 539 847 917 1283 1441 3773 5929 6419 8981 10087 14113 15851 16217 41503 44933 62867 70609 98791 110957 113519 155243 168073 178387 440069 494263 691537 776699 794633 1086701 1176511 1248709 1848803 1962257 2124427 4840759 5436893 5562431 7606907 8235577 8740963 12941621 13735799 14870989 20336833 20806411 23368697 53248349 57649039 61186741 90591347 96150593 104096923 142357831 145644877 163580879 228870521 257055667 634139429 673054151 728678461 996504817 1019514139 1145066153 1602093647 1799389669 2517575731 2725639841 6975533719 7136598973 8015463071 11214655529 12595727683 17623030117 19079478887 29982038251 78502588703 88170093781 123361210819 133556352209 209874267757 329802420761 863528475733 934894465463 1469119874299 2308616945327 10283839120093 16160318617289 113122230321023