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133044214131 = 32173134216599
BaseRepresentation
bin111101111101000001…
…1011001100101110011
3110201102002011100100100
41323322003121211303
54134433304323011
6141041503123443
712416650106133
oct1737203314563
9421362140310
10133044214131
1151472a99284
12219502a3583
13c713799a7a
146621900ac3
1536da23cd56
hex1efa0d9973

133044214131 has 48 divisors (see below), whose sum is σ = 204645355200. Its totient is φ = 83001784320.

The previous prime is 133044214117. The next prime is 133044214139. The reversal of 133044214131 is 131412440331.

133044214131 is a `hidden beast` number, since 13 + 304 + 4 + 214 + 131 = 666.

It is not a de Polignac number, because 133044214131 - 29 = 133044213619 is a prime.

It is a super-2 number, since 2×1330442141312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133044214095 and 133044214104.

It is not an unprimeable number, because it can be changed into a prime (133044214139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20157970 + ... + 20164568.

It is an arithmetic number, because the mean of its divisors is an integer number (4263444900).

Almost surely, 2133044214131 is an apocalyptic number.

133044214131 is a deficient number, since it is larger than the sum of its proper divisors (71601141069).

133044214131 is a wasteful number, since it uses less digits than its factorization.

133044214131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7356 (or 7353 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 133044214131 its reverse (131412440331), we get a palindrome (264456654462).

The spelling of 133044214131 in words is "one hundred thirty-three billion, forty-four million, two hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 3 9 17 51 153 313 421 939 1263 2817 3789 5321 6599 7157 15963 19797 21471 47889 59391 64413 112183 131773 336549 395319 1009647 1185957 2065487 2240141 2778179 6196461 6720423 8334537 18589383 20161269 25003611 35113279 47229043 105339837 141687129 316019511 425061387 869570027 2608710081 7826130243 14782690459 44348071377 133044214131