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141124000331 = 2959157525353
BaseRepresentation
bin1000001101101110100…
…1010101101001001011
3111111021011201000100002
42003123221111221023
54303010221002311
6144455333033215
713124120132126
oct2033351255113
9444234630302
10141124000331
1154939901236
122342618580b
13104006c6b52
146b8aa173bd
153a0e74893b
hex20dba55a4b

141124000331 has 16 divisors (see below), whose sum is σ = 149410677600. Its totient is φ = 133094777088.

The previous prime is 141124000309. The next prime is 141124000333. The reversal of 141124000331 is 133000421141.

141124000331 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 141124000331 - 210 = 141123999307 is a prime.

It is a super-2 number, since 2×1411240003312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (141124000333) 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 15 ways as a sum of consecutive naturals, for example, 5951 + ... + 531303.

It is an arithmetic number, because the mean of its divisors is an integer number (9338167350).

Almost surely, 2141124000331 is an apocalyptic number.

141124000331 is a deficient number, since it is larger than the sum of its proper divisors (8286677269).

141124000331 is a wasteful number, since it uses less digits than its factorization.

141124000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525598.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 141124000331 its reverse (133000421141), we get a palindrome (274124421472).

The spelling of 141124000331 in words is "one hundred forty-one billion, one hundred twenty-four million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 29 59 157 1711 4553 9263 268627 525353 15235237 30995827 82480421 898878983 2391932209 4866344839 141124000331