Search a number
-
+
10030202320 = 2454710492543
BaseRepresentation
bin10010101011101100…
…01011110111010000
3221220000121001220211
421111312023313100
5131020212433240
64335142013504
7503362212235
oct112566136720
927800531824
1010030202320
114287873506
121b3b117294
13c3b033578
146b218578c
153da876bea
hex255d8bdd0

10030202320 has 80 divisors (see below), whose sum is σ = 23848473600. Its totient is φ = 3921431552.

The previous prime is 10030202297. The next prime is 10030202327. The reversal of 10030202320 is 2320203001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 10030202320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10030202327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3942969 + ... + 3945511.

It is an arithmetic number, because the mean of its divisors is an integer number (298105920).

Almost surely, 210030202320 is an apocalyptic number.

10030202320 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 10030202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11924236800).

10030202320 is an abundant number, since it is smaller than the sum of its proper divisors (13818271280).

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

10030202320 is a wasteful number, since it uses less digits than its factorization.

10030202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3652 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 10030202320 its reverse (2320203001), we get a palindrome (12350405321).

The spelling of 10030202320 in words is "ten billion, thirty million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1049 1880 2098 2543 3760 4196 5086 5245 8392 10172 10490 12715 16784 20344 20980 25430 40688 41960 49303 50860 83920 98606 101720 119521 197212 203440 239042 246515 394424 478084 493030 597605 788848 956168 986060 1195210 1912336 1972120 2390420 2667607 3944240 4780840 5335214 9561680 10670428 13338035 21340856 26676070 42681712 53352140 106704280 125377529 213408560 250755058 501510116 626887645 1003020232 1253775290 2006040464 2507550580 5015101160 10030202320