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144130121031 = 31335471041907
BaseRepresentation
bin1000011000111011010…
…0110001110101000111
3111210000200020202200210
42012032310301311013
54330134302333111
6150113520410503
713261451546331
oct2061664616507
9453020222623
10144130121031
1156141772206
1223b24a76a33
131078c4422b0
146d93d74451
153b385eb0a6
hex218ed31d47

144130121031 has 16 divisors (see below), whose sum is σ = 207014616704. Its totient is φ = 88670368224.

The previous prime is 144130121027. The next prime is 144130121071. The reversal of 144130121031 is 130121031441.

144130121031 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 144130121031 - 22 = 144130121027 is a prime.

It is a super-2 number, since 2×1441301210312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144130120989 and 144130121007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144130121071) 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, 382621 + ... + 659286.

It is an arithmetic number, because the mean of its divisors is an integer number (12938413544).

Almost surely, 2144130121031 is an apocalyptic number.

144130121031 is a deficient number, since it is larger than the sum of its proper divisors (62884495673).

144130121031 is a wasteful number, since it uses less digits than its factorization.

144130121031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045470.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 144130121031 its reverse (130121031441), we get a palindrome (274251152472).

The spelling of 144130121031 in words is "one hundred forty-four billion, one hundred thirty million, one hundred twenty-one thousand, thirty-one".

Divisors: 1 3 13 39 3547 10641 46111 138333 1041907 3125721 13544791 40634373 3695644129 11086932387 48043373677 144130121031