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133103213133 = 311113161322129
BaseRepresentation
bin111101111110110010…
…0011101101001001101
3110201120012011210202120
41323331210131221031
54140043410310013
6141051411443153
712421264433652
oct1737544355115
9421505153676
10133103213133
11514a3326090
1221967bb64b9
13c722a86217
14662969bc29
1536e04e4123
hex1efd91da4d

133103213133 has 32 divisors (see below), whose sum is σ = 195447911040. Its totient is φ = 79901552640.

The previous prime is 133103213099. The next prime is 133103213179. The reversal of 133103213133 is 331312301331.

It is not a de Polignac number, because 133103213133 - 28 = 133103212877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133103213233) 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 31 ways as a sum of consecutive naturals, for example, 6003813 + ... + 6025941.

It is an arithmetic number, because the mean of its divisors is an integer number (6107747220).

Almost surely, 2133103213133 is an apocalyptic number.

It is an amenable number.

133103213133 is a deficient number, since it is larger than the sum of its proper divisors (62344697907).

133103213133 is a wasteful number, since it uses less digits than its factorization.

133103213133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23869.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 133103213133 its reverse (331312301331), we get a palindrome (464415514464).

The spelling of 133103213133 in words is "one hundred thirty-three billion, one hundred three million, two hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 3 11 33 113 339 1243 1613 3729 4839 17743 22129 53229 66387 182269 243419 546807 730257 2004959 2500577 6014877 7501731 27506347 35694077 82519041 107082231 392634847 1177904541 4033430701 12100292103 44367737711 133103213133