Search a number
-
+
130310033100 = 2235213130325643
BaseRepresentation
bin111100101011100010…
…1010100111011001100
3110110100112022120002020
41321113011110323030
54113333332024400
6135510312130140
712262130001642
oct1712705247314
9413315276066
10130310033100
115029a686635
1221308696950
13c3991a6280
146442731192
1535ca1a52a0
hex1e57154ecc

130310033100 has 144 divisors (see below), whose sum is σ = 406360157952. Its totient is φ = 32050448640.

The previous prime is 130310033083. The next prime is 130310033101. The reversal of 130310033100 is 1330013031.

It is a super-2 number, since 2×1303100331002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130310033100.

It is not an unprimeable number, because it can be changed into a prime (130310033101) 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, 5068879 + ... + 5094521.

Almost surely, 2130310033100 is an apocalyptic number.

130310033100 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 130310033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203180078976).

130310033100 is an abundant number, since it is smaller than the sum of its proper divisors (276050124852).

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

130310033100 is a wasteful number, since it uses less digits than its factorization.

130310033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26976 (or 26969 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 130310033100 its reverse (1330013031), we get a palindrome (131640046131).

The spelling of 130310033100 in words is "one hundred thirty billion, three hundred ten million, thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1303 1950 2606 3900 3909 5212 6515 7818 13030 15636 16939 19545 25643 26060 32575 33878 39090 50817 51286 65150 67756 76929 78180 84695 97725 101634 102572 128215 130300 153858 169390 195450 203268 254085 256430 307716 333359 338780 384645 390900 423475 508170 512860 641075 666718 769290 846950 1000077 1016340 1270425 1282150 1333436 1538580 1666795 1693900 1923225 2000154 2540850 2564300 3333590 3846450 4000308 5000385 5081700 6667180 7692900 8333975 10000770 16667950 20001540 25001925 33335900 33412829 50003850 66825658 100007700 100238487 133651316 167064145 200476974 334128290 400953948 434366777 501192435 668256580 835320725 868733554 1002384870 1303100331 1670641450 1737467108 2004769740 2171833885 2505962175 2606200662 3341282900 4343667770 5011924350 5212401324 6515501655 8687335540 10023848700 10859169425 13031003310 21718338850 26062006620 32577508275 43436677700 65155016550 130310033100