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10144131637 is a prime number
BaseRepresentation
bin10010111001010001…
…10010101000110101
3222011221222021120011
421130220302220311
5131233344203022
64354331540221
7506244460543
oct113450625065
928157867504
1010144131637
114336109272
121b712ba671
13c58813273
146c3360d93
153e587d977
hex25ca32a35

10144131637 has 2 divisors, whose sum is σ = 10144131638. Its totient is φ = 10144131636.

The previous prime is 10144131619. The next prime is 10144131661. The reversal of 10144131637 is 73613144101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7216672401 + 2927459236 = 84951^2 + 54106^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10144131637 is a prime.

It is a super-4 number, since 4×101441316374 (a number of 41 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10144131599 and 10144131608.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10144131337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5072065818 + 5072065819.

It is an arithmetic number, because the mean of its divisors is an integer number (5072065819).

Almost surely, 210144131637 is an apocalyptic number.

It is an amenable number.

10144131637 is a deficient number, since it is larger than the sum of its proper divisors (1).

10144131637 is an equidigital number, since it uses as much as digits as its factorization.

10144131637 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048, while the sum is 31.

Adding to 10144131637 its reverse (73613144101), we get a palindrome (83757275738).

The spelling of 10144131637 in words is "ten billion, one hundred forty-four million, one hundred thirty-one thousand, six hundred thirty-seven".