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10023323430042 = 23213144481296473
BaseRepresentation
bin1001000111011011110010…
…1000011110110010011010
31022111012221122101021000200
42101312330220132302122
52303210231244230132
633152352355043030
72053106204256516
oct221667450366232
938435848337020
1010023323430042
11321495a85023a
12115a7068a0476
13579270229bc0
142691ba96d146
15125ae283dd7c
hex91dbca1ec9a

10023323430042 has 48 divisors (see below), whose sum is σ = 23387995431528. Its totient is φ = 3084067768320.

The previous prime is 10023323430017. The next prime is 10023323430061. The reversal of 10023323430042 is 24003432332001.

10023323430042 is a `hidden beast` number, since 10 + 0 + 23 + 323 + 4 + 300 + 4 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9969938865441 + 53384564601 = 3157521^2 + 231051^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10023323429988 and 10023323430015.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 33660318 + ... + 33956790.

Almost surely, 210023323430042 is an apocalyptic number.

10023323430042 is an abundant number, since it is smaller than the sum of its proper divisors (13364672001486).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10023323430042 is a wasteful number, since it uses less digits than its factorization.

10023323430042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440975 (or 440972 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 10023323430042 its reverse (24003432332001), we get a palindrome (34026755762043).

The spelling of 10023323430042 in words is "ten trillion, twenty-three billion, three hundred twenty-three million, four hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 144481 288962 296473 433443 592946 866886 889419 1300329 1778838 1878253 2600658 2668257 3756506 3854149 5336514 5634759 7708298 11269518 11562447 16904277 23124894 33808554 34687341 69374682 42834715513 85669431026 128504146539 257008293078 385512439617 556851301669 771024879234 1113702603338 1670553905007 3341107810014 5011661715021 10023323430042