Search a number
-
+
1343310100 = 225211101107113
BaseRepresentation
bin101000000010001…
…0100100100010100
310110121200020000221
41100010110210110
510222341410400
6341143444124
745200642656
oct12004244424
93417606027
101343310100
1162a299840
12315a56644
131853c0362
14ca5966d6
157cde7c1a
hex50114914

1343310100 has 144 divisors (see below), whose sum is σ = 3270165696. Its totient is φ = 474880000.

The previous prime is 1343310079. The next prime is 1343310113. The reversal of 1343310100 is 10133431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11887644 + ... + 11887756.

It is an arithmetic number, because the mean of its divisors is an integer number (22709484).

Almost surely, 21343310100 is an apocalyptic number.

1343310100 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 1343310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635082848).

1343310100 is an abundant number, since it is smaller than the sum of its proper divisors (1926855596).

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

1343310100 is a wasteful number, since it uses less digits than its factorization.

1343310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1343310100 is about 36651.1950691925. The cubic root of 1343310100 is about 1103.3808106752.

Adding to 1343310100 its reverse (10133431), we get a palindrome (1353443531).

The spelling of 1343310100 in words is "one billion, three hundred forty-three million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 107 110 113 202 214 220 226 275 404 428 452 505 535 550 565 1010 1070 1100 1111 1130 1177 1243 2020 2140 2222 2260 2354 2486 2525 2675 2825 4444 4708 4972 5050 5350 5555 5650 5885 6215 10100 10700 10807 11110 11300 11413 11770 12091 12430 21614 22220 22826 23540 24182 24860 27775 29425 31075 43228 45652 48364 54035 55550 57065 58850 60455 62150 108070 111100 114130 117700 118877 120910 124300 125543 133001 216140 228260 237754 241820 251086 266002 270175 285325 302275 475508 502172 532004 540350 570650 594385 604550 627715 665005 1080700 1141300 1188770 1209100 1221191 1255430 1330010 2377540 2442382 2510860 2660020 2971925 3138575 3325025 4884764 5943850 6105955 6277150 6650050 11887700 12211910 12554300 13300100 13433101 24423820 26866202 30529775 53732404 61059550 67165505 122119100 134331010 268662020 335827525 671655050 1343310100