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132200333133 = 31123292712917
BaseRepresentation
bin111101100011111000…
…0001111111101001101
3110122020021020202020120
41323013300033331031
54131221241130013
6140422035535153
712360022201521
oct1730760177515
9418207222216
10132200333133
115107a706a70
122175575a4b9
13c60a9c19bb
1465817d1d81
15368b0e9123
hex1ec7c0ff4d

132200333133 has 96 divisors (see below), whose sum is σ = 210808645632. Its totient is φ = 72927993600.

The previous prime is 132200333119. The next prime is 132200333147. The reversal of 132200333133 is 331333002231.

It is an interprime number because it is at equal distance from previous prime (132200333119) and next prime (132200333147).

It is not a de Polignac number, because 132200333133 - 24 = 132200333117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132200333333) 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 95 ways as a sum of consecutive naturals, for example, 45319191 + ... + 45322107.

It is an arithmetic number, because the mean of its divisors is an integer number (2195923392).

Almost surely, 2132200333133 is an apocalyptic number.

It is an amenable number.

132200333133 is a deficient number, since it is larger than the sum of its proper divisors (78608312499).

132200333133 is a wasteful number, since it uses less digits than its factorization.

132200333133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 132200333133 its reverse (331333002231), we get a palindrome (463533335364).

The spelling of 132200333133 in words is "one hundred thirty-two billion, two hundred million, three hundred thirty-three thousand, one hundred thirty-three".

Divisors: 1 3 11 23 29 33 69 71 87 213 253 319 667 759 781 841 957 1633 2001 2059 2343 2523 2917 4899 6177 7337 8751 9251 17963 19343 22011 22649 27753 32087 47357 53889 58029 59711 67091 67947 84593 96261 142071 179133 201273 207107 212773 253779 520927 621321 638319 656821 738001 930523 1373353 1562781 1945639 1970463 2214003 2278177 2453197 2791569 4120059 4763461 5836917 6006103 6834531 7359591 14290383 15106883 18018309 21402029 26985167 45320649 52398071 56423531 64206087 66067133 80955501 138140369 157194213 169270593 174176987 198201399 414421107 522530961 620658841 1519544059 1861976523 1915946857 4006070701 4558632177 5747840571 12018212103 44066777711 132200333133