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132202133133 = 3721997487973
BaseRepresentation
bin111101100011111011…
…1000111011010001101
3110122020101122012101020
41323013313013122031
54131222221230013
6140422142304353
712360043406400
oct1730767073215
9418211565336
10132202133133
1151080726374
12217562880b9
13c60b1a20a5
146581b3dd37
15368b352623
hex1ec7dc768d

132202133133 has 48 divisors (see below), whose sum is σ = 218065821120. Its totient is φ = 70830111744.

The previous prime is 132202133101. The next prime is 132202133143. The reversal of 132202133133 is 331331202231.

It is not a de Polignac number, because 132202133133 - 25 = 132202133101 is a prime.

132202133133 is a modest number, since divided by 133133 gives 132202 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132202133143) 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 47 ways as a sum of consecutive naturals, for example, 26935 + ... + 514907.

It is an arithmetic number, because the mean of its divisors is an integer number (4543037940).

Almost surely, 2132202133133 is an apocalyptic number.

It is an amenable number.

132202133133 is a deficient number, since it is larger than the sum of its proper divisors (85863687987).

132202133133 is a wasteful number, since it uses less digits than its factorization.

132202133133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488106 (or 488099 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 132202133133 its reverse (331331202231), we get a palindrome (463533335364).

The spelling of 132202133133 in words is "one hundred thirty-two billion, two hundred two million, one hundred thirty-three thousand, one hundred thirty-three".

Divisors: 1 3 7 19 21 49 57 97 133 147 291 399 679 931 1843 2037 2793 4753 5529 12901 14259 38703 90307 270921 487973 1463919 3415811 9271487 10247433 23910677 27814461 47333381 64900409 71732031 142000143 194701227 331333667 454302863 899334239 994001001 1362908589 2319335669 2698002717 6295339673 6958007007 18886019019 44067377711 132202133133