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141125303331 = 32101642124179
BaseRepresentation
bin1000001101101110111…
…0010011110000100011
3111111021021011012201100
42003123232103300203
54303011034201311
6144455421005443
713124134200015
oct2033356236043
9444237135640
10141125303331
115493a6111a1
12234266b3883
1310400a61c5c
146b8ac761b5
153a0e904a56
hex20dbb93c23

141125303331 has 24 divisors (see below), whose sum is σ = 205906530960. Its totient is φ = 93133656000.

The previous prime is 141125303251. The next prime is 141125303339. The reversal of 141125303331 is 133303521141.

141125303331 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 25 + 303 + 331 = 666.

141125303331 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 141125303331 - 214 = 141125286947 is a prime.

It is a super-3 number, since 3×1411253033313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 141125303295 and 141125303304.

It is not an unprimeable number, because it can be changed into a prime (141125303339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5824600 + ... + 5848778.

It is an arithmetic number, because the mean of its divisors is an integer number (8579438790).

Almost surely, 2141125303331 is an apocalyptic number.

141125303331 is a deficient number, since it is larger than the sum of its proper divisors (64781227629).

141125303331 is a wasteful number, since it uses less digits than its factorization.

141125303331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30707 (or 30704 counting only the distinct ones).

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

Adding to 141125303331 its reverse (133303521141), we get a palindrome (274428824472).

The spelling of 141125303331 in words is "one hundred forty-one billion, one hundred twenty-five million, three hundred three thousand, three hundred thirty-one".

Divisors: 1 3 9 101 303 909 6421 19263 24179 57789 72537 217611 648521 1945563 2442079 5836689 7326237 21978711 155253359 465760077 1397280231 15680589259 47041767777 141125303331