Search a number
-
+
10023004420 = 225111310393373
BaseRepresentation
bin10010101010110101…
…01110100100000100
3221212112001101020221
421111122232210010
5131011342120140
64334323434124
7503244063142
oct112532564404
927775041227
1010023004420
1142837a7630
121b38825944
13c396b3260
146b1230592
153d9e0414a
hex2556ae904

10023004420 has 96 divisors (see below), whose sum is σ = 24759221760. Its totient is φ = 3360130560.

The previous prime is 10023004417. The next prime is 10023004457. The reversal of 10023004420 is 2440032001.

It is a junction number, because it is equal to n+sod(n) for n = 10023004394 and 10023004403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2969854 + ... + 2973226.

It is an arithmetic number, because the mean of its divisors is an integer number (257908560).

Almost surely, 210023004420 is an apocalyptic number.

10023004420 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 10023004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12379610880).

10023004420 is an abundant number, since it is smaller than the sum of its proper divisors (14736217340).

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

10023004420 is a wasteful number, since it uses less digits than its factorization.

10023004420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4445 (or 4443 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10023004420 its reverse (2440032001), we get a palindrome (12463036421).

The spelling of 10023004420 in words is "ten billion, twenty-three million, four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1039 1430 2078 2860 3373 4156 5195 6746 10390 11429 13492 13507 16865 20780 22858 27014 33730 37103 43849 45716 54028 57145 67460 67535 74206 87698 114290 135070 148412 148577 175396 185515 219245 228580 270140 297154 371030 438490 482339 594308 742060 742885 876980 964678 1485770 1929356 2411695 2971540 3504547 4823390 7009094 9646780 14018188 17522735 35045470 38550017 45559111 70090940 77100034 91118222 154200068 182236444 192750085 227795555 385500170 455591110 501150221 771000340 911182220 1002300442 2004600884 2505751105 5011502210 10023004420