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132220122415240 = 23517724692683097
BaseRepresentation
bin11110000100000011100101…
…011011011100000010001000
3122100011010020200000102121211
4132010003211123130002020
5114312243302314241430
61145113030302142504
736564405614651266
oct3604034533340210
9570133220012554
10132220122415240
113914726a14a652
12129b518b581a34
1358a13c4ca46b2
1424916b939d436
15104453739772a
hex7840e56dc088

132220122415240 has 64 divisors (see below), whose sum is σ = 314999461537200. Its totient is φ = 49776281837568.

The previous prime is 132220122415201. The next prime is 132220122415379. The reversal of 132220122415240 is 42514221022231.

It can be written as a sum of positive squares in 8 ways, for example, as 23156479645924 + 109063642769316 = 4812118^2 + 10443354^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47937372 + ... + 50620468.

Almost surely, 2132220122415240 is an apocalyptic number.

132220122415240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132220122415240 is an abundant number, since it is smaller than the sum of its proper divisors (182779339121960).

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

132220122415240 is a wasteful number, since it uses less digits than its factorization.

132220122415240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755594 (or 2755590 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 132220122415240 its reverse (42514221022231), we get a palindrome (174734343437471).

The spelling of 132220122415240 in words is "one hundred thirty-two trillion, two hundred twenty billion, one hundred twenty-two million, four hundred fifteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 72469 144938 289876 362345 579752 724690 1231973 1449380 2463946 2683097 2898760 4927892 5366194 6159865 9855784 10732388 12319730 13415485 21464776 24639460 26830970 45612649 49278920 53661940 91225298 107323880 182450596 228063245 364901192 456126490 912252980 1824505960 194441356493 388882712986 777765425972 972206782465 1555530851944 1944413564930 3305503060381 3888827129860 6611006120762 7777654259720 13222012241524 16527515301905 26444024483048 33055030603810 66110061207620 132220122415240