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10430400042 = 23223115321851
BaseRepresentation
bin10011011011011001…
…10100011000101010
3222220220122012222200
421231230310120222
5132330140300132
64442555401030
7516321636366
oct115554643052
928826565880
1010430400042
114472763a27
122031153176
13ca2c13b5a
1470d39c2a6
15410a78d7c
hex26db3462a

10430400042 has 48 divisors (see below), whose sum is σ = 23603306688. Its totient is φ = 3322598400.

The previous prime is 10430400023. The next prime is 10430400067. The reversal of 10430400042 is 24000403401.

10430400042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10430399988 and 10430400024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 466417 + ... + 488267.

It is an arithmetic number, because the mean of its divisors is an integer number (491735556).

Almost surely, 210430400042 is an apocalyptic number.

10430400042 is an abundant number, since it is smaller than the sum of its proper divisors (13172906646).

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

10430400042 is a wasteful number, since it uses less digits than its factorization.

10430400042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23035 (or 23032 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10430400042 its reverse (24000403401), we get a palindrome (34430803443).

The spelling of 10430400042 in words is "ten billion, four hundred thirty million, four hundred thousand, forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 1153 2306 3459 6918 10377 20754 21851 26519 43702 53038 65553 79557 131106 159114 196659 238671 393318 477342 502573 1005146 1507719 3015438 4523157 9046314 25194203 50388406 75582609 151165218 226747827 453495654 579466669 1158933338 1738400007 3476800014 5215200021 10430400042