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132121610471 = 7927714274231
BaseRepresentation
bin111101100001100001…
…1111100100011100111
3110122000210010020001102
41323003003330203213
54131041113013341
6140410144350315
712355045105424
oct1730303744347
9418023106042
10132121610471
115103a228514
122173331539b
13c5c75bab46
14657517cd4b
153684248c9b
hex1ec30fc8e7

132121610471 has 16 divisors (see below), whose sum is σ = 134402903040. Its totient is φ = 129856465440.

The previous prime is 132121610419. The next prime is 132121610507. The reversal of 132121610471 is 174016121231.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132121610471 is a prime.

It is a super-3 number, since 3×1321216104713 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132121310471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31224926 + ... + 31229156.

It is an arithmetic number, because the mean of its divisors is an integer number (8400181440).

Almost surely, 2132121610471 is an apocalyptic number.

132121610471 is a deficient number, since it is larger than the sum of its proper divisors (2281292569).

132121610471 is a wasteful number, since it uses less digits than its factorization.

132121610471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6014.

The product of its (nonzero) digits is 2016, while the sum is 29.

The spelling of 132121610471 in words is "one hundred thirty-two billion, one hundred twenty-one million, six hundred ten thousand, four hundred seventy-one".

Divisors: 1 79 277 1427 4231 21883 112733 334249 395279 1171987 6037637 31227041 92586973 476973323 1672425449 132121610471