[go: up one dir, main page]

Search a number
-
+
1320230010 = 23511191931091
BaseRepresentation
bin100111010110001…
…0001110001111010
310102000020122002210
41032230101301322
510200434330020
6335001035550
744500525041
oct11654216172
93360218083
101320230010
11618265390
1230a185bb6
1318069bcb8
14c74a9558
157ad893e0
hex4eb11c7a

1320230010 has 128 divisors (see below), whose sum is σ = 3660733440. Its totient is φ = 301363200.

The previous prime is 1320230003. The next prime is 1320230011. The reversal of 1320230010 is 100320231.

It is a happy number.

1320230010 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1320230011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1209565 + ... + 1210655.

It is an arithmetic number, because the mean of its divisors is an integer number (28599480).

Almost surely, 21320230010 is an apocalyptic number.

1320230010 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 1320230010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830366720).

1320230010 is an abundant number, since it is smaller than the sum of its proper divisors (2340503430).

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

1320230010 is a wasteful number, since it uses less digits than its factorization.

1320230010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1320230010 is about 36334.9695197340. The cubic root of 1320230010 is about 1097.0250219555.

Adding to 1320230010 its reverse (100320231), we get a palindrome (1420550241).

The spelling of 1320230010 in words is "one billion, three hundred twenty million, two hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 193 209 285 330 386 418 570 579 627 965 1045 1091 1158 1254 1930 2090 2123 2182 2895 3135 3273 3667 4246 5455 5790 6270 6369 6546 7334 10615 10910 11001 12001 12738 16365 18335 20729 21230 22002 24002 31845 32730 36003 36670 40337 41458 55005 60005 62187 63690 72006 80674 103645 110010 120010 121011 124374 180015 201685 207290 210563 228019 242022 310935 360030 403370 421126 456038 605055 621870 631689 684057 1052815 1140095 1210110 1263378 1368114 2105630 2280190 2316193 3158445 3420285 4000697 4632386 6316890 6840570 6948579 8001394 11580965 12002091 13897158 20003485 23161930 24004182 34742895 40006970 44007667 60010455 69485790 88015334 120020910 132023001 220038335 264046002 440076670 660115005 1320230010