Search a number
-
+
132505024245 = 35112471553309
BaseRepresentation
bin111101101100111101…
…0100011011011110101
3110200000111120122212120
41323121322203123311
54132332241233440
6140512202310153
712400412060016
oct1733172433365
9420014518776
10132505024245
11512166a4a00
122181b7b8359
13c658b72ab9
1465b006700d
1536a7c32dd0
hex1ed9ea36f5

132505024245 has 48 divisors (see below), whose sum is σ = 237991944960. Its totient is φ = 62877907840.

The previous prime is 132505024199. The next prime is 132505024261. The reversal of 132505024245 is 542420505231.

It is a happy number.

It is not a de Polignac number, because 132505024245 - 29 = 132505023733 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 691350 + ... + 861959.

It is an arithmetic number, because the mean of its divisors is an integer number (4958165520).

Almost surely, 2132505024245 is an apocalyptic number.

132505024245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132505024245 is a deficient number, since it is larger than the sum of its proper divisors (105486920715).

132505024245 is a wasteful number, since it uses less digits than its factorization.

132505024245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553386 (or 1553375 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 132505024245 its reverse (542420505231), we get a palindrome (674925529476).

The spelling of 132505024245 in words is "one hundred thirty-two billion, five hundred five million, twenty-four thousand, two hundred forty-five".

Divisors: 1 3 5 11 15 33 47 55 121 141 165 235 363 517 605 705 1551 1815 2585 5687 7755 17061 28435 85305 1553309 4659927 7766545 17086399 23299635 51259197 73005523 85431995 187950389 219016569 256295985 365027615 563851167 803060753 939751945 1095082845 2409182259 2819255835 4015303765 8833668283 12045911295 26501004849 44168341415 132505024245