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132112123103322 = 23231323449081133
BaseRepresentation
bin11110000010011111000000…
…001010110000100001011010
3122022202210111000020221100100
4132002133000022300201122
5114304011112003301242
61144551245502120230
736553533365646555
oct3602370012604132
9568683430227310
10132112123103322
113910548937706a
121299826a880076
1358941731330bb
14248a391bb369c
151041815c4b54c
hex7827c02b085a

132112123103322 has 24 divisors (see below), whose sum is σ = 287157447566964. Its totient is φ = 43896679879104.

The previous prime is 132112123103321. The next prime is 132112123103369. The reversal of 132112123103322 is 223301321211231.

132112123103322 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 1 + 2 + 12 + 310 + 332 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 123169577116041 + 8942545987281 = 11098179^2 + 2990409^2 .

It is a super-2 number, since 2×1321121231033222 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132112123103321) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 11724534933 + ... + 11724546200.

Almost surely, 2132112123103322 is an apocalyptic number.

132112123103322 is an abundant number, since it is smaller than the sum of its proper divisors (155045324463642).

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

132112123103322 is a wasteful number, since it uses less digits than its factorization.

132112123103322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23449081454 (or 23449081451 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 132112123103322 its reverse (223301321211231), we get a palindrome (355413444314553).

The spelling of 132112123103322 in words is "one hundred thirty-two trillion, one hundred twelve billion, one hundred twenty-three million, one hundred three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 313 626 939 1878 2817 5634 23449081133 46898162266 70347243399 140694486798 211041730197 422083460394 7339562394629 14679124789258 22018687183887 44037374367774 66056061551661 132112123103322