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133130524131 = 3311448250923
BaseRepresentation
bin111101111111100110…
…0101001010111100011
3110201122002120100102000
41323333030221113203
54140122403233011
6141054225055043
712422045532603
oct1737714512743
9421562510360
10133130524131
115150778a260
1221975187483
13c728629287
14662d16ac03
1536e2adb356
hex1eff3295e3

133130524131 has 16 divisors (see below), whose sum is σ = 215160443520. Its totient is φ = 80685165960.

The previous prime is 133130524123. The next prime is 133130524171. The reversal of 133130524131 is 131425031331.

133130524131 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 0 + 524 + 131 = 666.

It is not a de Polignac number, because 133130524131 - 23 = 133130524123 is a prime.

It is a super-2 number, since 2×1331305241312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133130524095 and 133130524104.

It is not an unprimeable number, because it can be changed into a prime (133130524171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224125165 + ... + 224125758.

It is an arithmetic number, because the mean of its divisors is an integer number (13447527720).

Almost surely, 2133130524131 is an apocalyptic number.

133130524131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133130524131 is a deficient number, since it is larger than the sum of its proper divisors (82029919389).

133130524131 is a wasteful number, since it uses less digits than its factorization.

133130524131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448250943 (or 448250937 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 133130524131 its reverse (131425031331), we get a palindrome (264555555462).

The spelling of 133130524131 in words is "one hundred thirty-three billion, one hundred thirty million, five hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 448250923 1344752769 4034258307 4930760153 12102774921 14792280459 44376841377 133130524131