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10144141037 is a prime number
BaseRepresentation
bin10010111001010001…
…10100111011101101
3222011221222202110022
421130220310323231
5131233400003122
64354332051525
7506244530132
oct113450647355
928157882408
1010144141037
114336115338
121b71303ba5
13c58817624
146c3364589
153e5881642
hex25ca34eed

10144141037 has 2 divisors, whose sum is σ = 10144141038. Its totient is φ = 10144141036.

The previous prime is 10144141031. The next prime is 10144141039. The reversal of 10144141037 is 73014144101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10129617316 + 14523721 = 100646^2 + 3811^2 .

It is a cyclic number.

It is not a de Polignac number, because 10144141037 - 224 = 10127363821 is a prime.

It is a super-3 number, since 3×101441410373 (a number of 31 digits) contains 333 as substring.

Together with 10144141039, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10144140997 and 10144141015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10144141031) 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 as a sum of consecutive naturals, namely, 5072070518 + 5072070519.

It is an arithmetic number, because the mean of its divisors is an integer number (5072070519).

Almost surely, 210144141037 is an apocalyptic number.

It is an amenable number.

10144141037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10144141037 is an equidigital number, since it uses as much as digits as its factorization.

10144141037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

Adding to 10144141037 its reverse (73014144101), we get a palindrome (83158285138).

The spelling of 10144141037 in words is "ten billion, one hundred forty-four million, one hundred forty-one thousand, thirty-seven".