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2023103201430 = 2355926337911467
BaseRepresentation
bin11101011100001010010…
…110010000000010010110
321011101222112121002022010
4131130022112100002112
5231121303404421210
64145222322445050
7266110245322323
oct35341226200226
97141875532263
102023103201430
1170aaa2018a93
12288111203786
13118a15b1826c
146dcc0d63b4a
153795b3c5920
hex1d70a590096

2023103201430 has 128 divisors (see below), whose sum is σ = 4970029363200. Its totient is φ = 526893704064.

The previous prime is 2023103201417. The next prime is 2023103201437. The reversal of 2023103201430 is 341023013202.

It is a junction number, because it is equal to n+sod(n) for n = 2023103201397 and 2023103201406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023103201437) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 176422557 + ... + 176434023.

It is an arithmetic number, because the mean of its divisors is an integer number (38828354400).

Almost surely, 22023103201430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023103201430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485014681600).

2023103201430 is an abundant number, since it is smaller than the sum of its proper divisors (2946926161770).

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

2023103201430 is a wasteful number, since it uses less digits than its factorization.

2023103201430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12178.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2023103201430 its reverse (341023013202), we get a palindrome (2364126214632).

The spelling of 2023103201430 in words is "two trillion, twenty-three billion, one hundred three million, two hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 263 295 354 379 526 590 758 789 885 1137 1315 1578 1770 1895 2274 2630 3790 3945 5685 7890 11370 11467 15517 22361 22934 31034 34401 44722 46551 57335 67083 68802 77585 93102 99677 111805 114670 134166 155170 172005 199354 223610 232755 299031 335415 344010 465510 498385 598062 670830 676553 996770 1353106 1495155 2029659 2990310 3015821 3382765 4059318 4345993 5880943 6031642 6765530 8691986 9047463 10148295 11761886 13037979 15079105 17642829 18094926 20296590 21729965 26075958 29404715 30158210 35285658 43459930 45237315 58809430 65189895 88214145 90474630 130379790 176428290 177933439 256413587 355866878 512827174 533800317 769240761 889667195 1067600634 1142996159 1282067935 1538481522 1779334390 2285992318 2564135870 2669001585 3428988477 3846203805 5338003170 5714980795 6857976954 7692407610 11429961590 17144942385 34289884770 67436773381 134873546762 202310320143 337183866905 404620640286 674367733810 1011551600715 2023103201430