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12132302133 = 375310900541
BaseRepresentation
bin10110100110010010…
…00011110100110101
31011022112001210202110
423103021003310311
5144321332132013
65323513201233
7606435603150
oct132311036465
934275053673
1012132302133
115166406186
122427100219
1311b46a8103
1483141ac97
154b01a62c3
hex2d3243d35

12132302133 has 16 divisors (see below), whose sum is σ = 18836136576. Its totient is φ = 6801936960.

The previous prime is 12132302129. The next prime is 12132302141. The reversal of 12132302133 is 33120323121.

12132302133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12132302133 - 22 = 12132302129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132302153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5449158 + ... + 5451383.

It is an arithmetic number, because the mean of its divisors is an integer number (1177258536).

Almost surely, 212132302133 is an apocalyptic number.

It is an amenable number.

12132302133 is a deficient number, since it is larger than the sum of its proper divisors (6703834443).

12132302133 is a wasteful number, since it uses less digits than its factorization.

12132302133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10900604.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12132302133 its reverse (33120323121), we get a palindrome (45252625254).

It can be divided in two parts, 121 and 32302133, that multiplied together give a palindrome (3908558093).

The spelling of 12132302133 in words is "twelve billion, one hundred thirty-two million, three hundred two thousand, one hundred thirty-three".

Divisors: 1 3 7 21 53 159 371 1113 10900541 32701623 76303787 228911361 577728673 1733186019 4044100711 12132302133