Search a number
-
+
1301102010 = 2325131676659
BaseRepresentation
bin100110110001101…
…0011110110111010
310100200020211102100
41031203103312322
510131040231020
6333035044230
744146120215
oct11543236672
93320224370
101301102010
1160849021a
123038a0676
13179732760
14c4b2a77c
157935ba90
hex4d8d3dba

1301102010 has 96 divisors (see below), whose sum is σ = 3665450880. Its totient is φ = 318305664.

The previous prime is 1301101993. The next prime is 1301102017. The reversal of 1301102010 is 102011031.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1301101983 and 1301102001.

It is not an unprimeable number, because it can be changed into a prime (1301102017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192061 + ... + 198719.

It is an arithmetic number, because the mean of its divisors is an integer number (38181780).

Almost surely, 21301102010 is an apocalyptic number.

1301102010 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 1301102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832725440).

1301102010 is an abundant number, since it is smaller than the sum of its proper divisors (2364348870).

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

1301102010 is a wasteful number, since it uses less digits than its factorization.

1301102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6852 (or 6849 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1301102010 is about 36070.7916464277. The cubic root of 1301102010 is about 1091.7011872100.

Adding to 1301102010 its reverse (102011031), we get a palindrome (1403113041).

The spelling of 1301102010 in words is "one billion, three hundred one million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 167 195 234 334 390 501 585 835 1002 1170 1503 1670 2171 2505 3006 4342 5010 6513 6659 7515 10855 13026 13318 15030 19539 19977 21710 32565 33295 39078 39954 59931 65130 66590 86567 97695 99885 119862 173134 195390 199770 259701 299655 432835 519402 599310 779103 865670 1112053 1298505 1558206 2224106 2597010 3336159 3895515 5560265 6672318 7791030 10008477 11120530 14456689 16680795 20016954 28913378 33361590 43370067 50042385 72283445 86740134 100084770 130110201 144566890 216850335 260220402 433700670 650551005 1301102010