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10135241377 is a prime number
BaseRepresentation
bin10010111000001101…
…11000001010100001
3222011100020121102021
421130012320022201
5131224110211002
64353413221441
7506106062452
oct113406701241
928140217367
1010135241377
114331096948
121b6a331881
13c56a1c861
146c20c9129
153e4bc4737
hex25c1b82a1

10135241377 has 2 divisors, whose sum is σ = 10135241378. Its totient is φ = 10135241376.

The previous prime is 10135241321. The next prime is 10135241393. The reversal of 10135241377 is 77314253101.

10135241377 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9100396816 + 1034844561 = 95396^2 + 32169^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10135241377 is a prime.

It is a super-2 number, since 2×101352413772 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10135245377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5067620688 + 5067620689.

It is an arithmetic number, because the mean of its divisors is an integer number (5067620689).

Almost surely, 210135241377 is an apocalyptic number.

It is an amenable number.

10135241377 is a deficient number, since it is larger than the sum of its proper divisors (1).

10135241377 is an equidigital number, since it uses as much as digits as its factorization.

10135241377 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17640, while the sum is 34.

Adding to 10135241377 its reverse (77314253101), we get a palindrome (87449494478).

The spelling of 10135241377 in words is "ten billion, one hundred thirty-five million, two hundred forty-one thousand, three hundred seventy-seven".