Search a number
-
+
103441132240 = 2453175217829
BaseRepresentation
bin110000001010110010…
…0100110101011010000
3100212222222201222020221
41200111210212223100
53143321412212430
6115304210242424
710321240055005
oct1402544465320
9325888658227
10103441132240
113a961905746
121806a286414
1399a6707574
1450140978ac
152a563b957a
hex1815926ad0

103441132240 has 80 divisors (see below), whose sum is σ = 241753254480. Its totient is φ = 41161502720.

The previous prime is 103441132141. The next prime is 103441132247. The reversal of 103441132240 is 42231144301.

It can be written as a sum of positive squares in 8 ways, for example, as 39105853504 + 64335278736 = 197752^2 + 253644^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103441132247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13208646 + ... + 13216474.

It is an arithmetic number, because the mean of its divisors is an integer number (3021915681).

Almost surely, 2103441132240 is an apocalyptic number.

103441132240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103441132240 is an abundant number, since it is smaller than the sum of its proper divisors (138312122240).

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

103441132240 is a wasteful number, since it uses less digits than its factorization.

103441132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8680 (or 8674 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 103441132240 its reverse (42231144301), we get a palindrome (145672276541).

The spelling of 103441132240 in words is "one hundred three billion, four hundred forty-one million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 317 521 634 1042 1268 1585 2084 2536 2605 3170 4168 5072 5210 6340 7829 8336 10420 12680 15658 20840 25360 31316 39145 41680 62632 78290 125264 156580 165157 313160 330314 626320 660628 825785 1321256 1651570 2481793 2642512 3303140 4078909 4963586 6606280 8157818 9927172 12408965 13212560 16315636 19854344 20394545 24817930 32631272 39708688 40789090 49635860 65262544 81578180 99271720 163156360 198543440 326312720 1293014153 2586028306 5172056612 6465070765 10344113224 12930141530 20688226448 25860283060 51720566120 103441132240