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11023412430 = 2352947713797
BaseRepresentation
bin10100100010000101…
…11110110011001110
31001110020111101001110
422101002332303032
5140033443144210
65021501552450
7540112313442
oct122102766316
931406441043
1011023412430
114747479a08
122177875726
131068a34064
14768046822
15447b66420
hex2910becce

11023412430 has 128 divisors (see below), whose sum is σ = 28351918080. Its totient is φ = 2737978880.

The previous prime is 11023412429. The next prime is 11023412443. The reversal of 11023412430 is 3421432011.

11023412430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11023412397 and 11023412406.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2901292 + ... + 2905088.

It is an arithmetic number, because the mean of its divisors is an integer number (221499360).

Almost surely, 211023412430 is an apocalyptic number.

11023412430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11023412430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14175959040).

11023412430 is an abundant number, since it is smaller than the sum of its proper divisors (17328505650).

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

11023412430 is a wasteful number, since it uses less digits than its factorization.

11023412430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 11023412430 its reverse (3421432011), we get a palindrome (14444844441).

The spelling of 11023412430 in words is "eleven billion, twenty-three million, four hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 47 58 71 87 94 141 142 145 174 213 235 282 290 355 426 435 470 705 710 870 1065 1363 1410 2059 2130 2726 3337 3797 4089 4118 6177 6674 6815 7594 8178 10011 10295 11391 12354 13630 16685 18985 20022 20445 20590 22782 30885 33370 37970 40890 50055 56955 61770 96773 100110 110113 113910 178459 193546 220226 269587 290319 330339 356918 483865 535377 539174 550565 580638 660678 808761 892295 967730 1070754 1101130 1347935 1451595 1617522 1651695 1784590 2676885 2695870 2903190 3303390 4043805 5175311 5353770 7818023 8087610 10350622 12670589 15525933 15636046 23454069 25341178 25876555 31051866 38011767 39090115 46908138 51753110 63352945 76023534 77629665 78180230 117270345 126705890 155259330 190058835 234540690 367447081 380117670 734894162 1102341243 1837235405 2204682486 3674470810 5511706215 11023412430