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10342430120 = 23511891092423
BaseRepresentation
bin10011010000111010…
…01111010110101000
3222200210002212221102
421220131033112220
5132140130230440
64430134100532
7514203130331
oct115035172650
928623085842
1010342430120
114428039910
1220077aa748
13c8a922c49
1470181d288
15407e9db15
hex26874f5a8

10342430120 has 128 divisors (see below), whose sum is σ = 25917408000. Its totient is φ = 3682990080.

The previous prime is 10342430093. The next prime is 10342430141. The reversal of 10342430120 is 2103424301.

10342430120 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 10342430092 and 10342430101.

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 31 ways as a sum of consecutive naturals, for example, 4267229 + ... + 4269651.

It is an arithmetic number, because the mean of its divisors is an integer number (202479750).

Almost surely, 210342430120 is an apocalyptic number.

10342430120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10342430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12958704000).

10342430120 is an abundant number, since it is smaller than the sum of its proper divisors (15574977880).

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

10342430120 is a wasteful number, since it uses less digits than its factorization.

10342430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10342430120 its reverse (2103424301), we get a palindrome (12445854421).

The spelling of 10342430120 in words is "ten billion, three hundred forty-two million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 89 109 110 178 218 220 356 436 440 445 545 712 872 890 979 1090 1199 1780 1958 2180 2398 2423 3560 3916 4360 4796 4846 4895 5995 7832 9592 9692 9701 9790 11990 12115 19384 19402 19580 23980 24230 26653 38804 39160 47960 48460 48505 53306 77608 96920 97010 106612 106711 133265 194020 213224 213422 215647 264107 266530 388040 426844 431294 528214 533060 533555 853688 862588 1056428 1066120 1067110 1078235 1320535 1725176 2112856 2134220 2156470 2372117 2641070 2905177 4268440 4312940 4744234 5282140 5810354 8625880 9488468 10564280 11620708 11860585 14525885 18976936 23241416 23505523 23721170 29051770 47011046 47442340 58103540 94022092 94884680 116207080 117527615 188044184 235055230 258560753 470110460 517121506 940220920 1034243012 1292803765 2068486024 2585607530 5171215060 10342430120