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132120204043242 = 231713018831112741
BaseRepresentation
bin11110000010100110100001…
…110101000110001111101010
3122022210120100011222012221110
4132002212201311012033222
5114304124134213340432
61144555103412451150
736554240551546302
oct3602464165061752
9568716304865843
10132120204043242
11391089558a7908
1212999945019ab6
135894b6037535c
14248a91b10a602
151041b3a3d3dcc
hex7829a1d463ea

132120204043242 has 64 divisors (see below), whose sum is σ = 280033204727808. Its totient is φ = 41412558720000.

The previous prime is 132120204043183. The next prime is 132120204043279. The reversal of 132120204043242 is 242340402021231.

It is an unprimeable number.

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, 1171834992 + ... + 1171947732.

It is an arithmetic number, because the mean of its divisors is an integer number (4375518823872).

Almost surely, 2132120204043242 is an apocalyptic number.

132120204043242 is an abundant number, since it is smaller than the sum of its proper divisors (147913000684566).

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

132120204043242 is a wasteful number, since it uses less digits than its factorization.

132120204043242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122895.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 132120204043242 its reverse (242340402021231), we get a palindrome (374460606064473).

The spelling of 132120204043242 in words is "one hundred thirty-two trillion, one hundred twenty billion, two hundred four million, forty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 17 34 51 102 1301 2602 3903 7806 8831 17662 22117 26493 44234 52986 66351 112741 132702 150127 225482 300254 338223 450381 676446 900762 1916597 3833194 5749791 11489131 11499582 22978262 34467393 68934786 146676041 195315227 293352082 390630454 440028123 585945681 880056246 995615771 1171891362 1991231542 2493492697 2986847313 4986985394 5973694626 7480478091 14960956182 16925468107 33850936214 50776404321 101552808642 1295296118071 2590592236142 3885888354213 7771776708426 22020034007207 44040068014414 66060102021621 132120204043242