Search a number
-
+
132020530510305 = 3531325187331627
BaseRepresentation
bin11110000001001001101100…
…110100101111100111100001
3122022110001001202122010022110
4132001021230310233213201
5114301011021302312210
61144441221111025533
736544111550522643
oct3601115464574741
9568401052563273
10132020530510305
113907a6577832a8
121298256866b2a9
13588863739c5b8
142485b8358c893
15103e254b85420
hex78126cd2f9e1

132020530510305 has 32 divisors (see below), whose sum is σ = 218113884868608. Its totient is φ = 68118668280000.

The previous prime is 132020530510301. The next prime is 132020530510369. The reversal of 132020530510305 is 503015035020231.

132020530510305 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 132020530510305 - 22 = 132020530510301 is a prime.

It is a super-2 number, since 2×1320205305103052 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132020530510301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42154099 + ... + 45177528.

It is an arithmetic number, because the mean of its divisors is an integer number (6816058902144).

Almost surely, 2132020530510305 is an apocalyptic number.

132020530510305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132020530510305 is a deficient number, since it is larger than the sum of its proper divisors (86093354358303).

132020530510305 is a wasteful number, since it uses less digits than its factorization.

132020530510305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87334917.

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 132020530510305 its reverse (503015035020231), we get a palindrome (635035565530536).

The spelling of 132020530510305 in words is "one hundred thirty-two trillion, twenty billion, five hundred thirty million, five hundred ten thousand, three hundred five".

Divisors: 1 3 5 15 31 93 155 465 3251 9753 16255 48765 100781 302343 503905 1511715 87331627 261994881 436658135 1309974405 2707280437 8121841311 13536402185 40609206555 283915119377 851745358131 1419575596885 4258726790655 8801368700687 26404106102061 44006843503435 132020530510305