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132120214432410 = 23510373957858391
BaseRepresentation
bin11110000010100110100010…
…011100101110101010011010
3122022210120100220112001012110
4132002212202130232222122
5114304124144343314120
61144555104423253150
736554241036056361
oct3602464234565232
9568716326461173
10132120214432410
11391089607533a6
12129999485aa1b6
135894b625720a9
14248a91c6527d8
151041b3b2872e0
hex7829a272ea9a

132120214432410 has 64 divisors (see below), whose sum is σ = 320600293079040. Its totient is φ = 34842785325120.

The previous prime is 132120214432391. The next prime is 132120214432411. The reversal of 132120214432410 is 14234412021231.

It is a happy number.

132120214432410 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (132120214432411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26645686 + ... + 31212705.

It is an arithmetic number, because the mean of its divisors is an integer number (5009379579360).

Almost surely, 2132120214432410 is an apocalyptic number.

132120214432410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132120214432410 is an abundant number, since it is smaller than the sum of its proper divisors (188480078646630).

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

132120214432410 is a wasteful number, since it uses less digits than its factorization.

132120214432410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57859243.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 132120214432410 its reverse (14234412021231), we get a palindrome (146354626453641).

The spelling of 132120214432410 in words is "one hundred thirty-two trillion, one hundred twenty billion, two hundred fourteen million, four hundred thirty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 103 206 309 515 618 739 1030 1478 1545 2217 3090 3695 4434 7390 11085 22170 76117 152234 228351 380585 456702 761170 1141755 2283510 57858391 115716782 173575173 289291955 347150346 578583910 867875865 1735751730 5959414273 11918828546 17878242819 29797071365 35756485638 42757350949 59594142730 85514701898 89391214095 128272052847 178782428190 213786754745 256544105694 427573509490 641360264235 1282720528470 4404007147747 8808014295494 13212021443241 22020035738735 26424042886482 44040071477470 66060107216205 132120214432410