Search a number
-
+
100230003020 = 22574173239201
BaseRepresentation
bin101110101011000101…
…1000111100101001100
3100120201012102201002002
41131112023013211030
53120232340044040
6114013420451432
710145535653150
oct1352613074514
9316635381062
10100230003020
1139564250844
12175129a9b78
1395b43701c4
144bcb813060
15291951da15
hex17562c794c

100230003020 has 96 divisors (see below), whose sum is σ = 249795778176. Its totient is φ = 33067008000.

The previous prime is 100230003019. The next prime is 100230003047. The reversal of 100230003020 is 20300032001.

It is a junction number, because it is equal to n+sod(n) for n = 100230002992 and 100230003010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299420 + ... + 538620.

It is an arithmetic number, because the mean of its divisors is an integer number (2602039356).

Almost surely, 2100230003020 is an apocalyptic number.

100230003020 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 100230003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124897889088).

100230003020 is an abundant number, since it is smaller than the sum of its proper divisors (149565775156).

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

100230003020 is a wasteful number, since it uses less digits than its factorization.

100230003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239331 (or 239329 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 100230003020 its reverse (20300032001), we get a palindrome (120530035021).

The spelling of 100230003020 in words is "one hundred billion, two hundred thirty million, three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 73 82 140 146 164 205 287 292 365 410 511 574 730 820 1022 1148 1435 1460 2044 2555 2870 2993 5110 5740 5986 10220 11972 14965 20951 29930 41902 59860 83804 104755 209510 239201 419020 478402 956804 1196005 1674407 2392010 3348814 4784020 6697628 8372035 9807241 16744070 17461673 19614482 33488140 34923346 39228964 49036205 68650687 69846692 87308365 98072410 122231711 137301374 174616730 196144820 244463422 274602748 343253435 349233460 488926844 611158555 686506870 715928593 1222317110 1373013740 1431857186 2444634220 2863714372 3579642965 5011500151 7159285930 10023000302 14318571860 20046000604 25057500755 50115001510 100230003020