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10034438077 is a prime number
BaseRepresentation
bin10010101100001100…
…10101111110111101
3221220022120021021201
421112012111332331
5131022304004302
64335412455501
7503443213336
oct112606257675
927808507251
1010034438077
11428a1a6934
121b4061a591
13c3bb87531
146b296928d
153dae11c87
hex256195fbd

10034438077 has 2 divisors, whose sum is σ = 10034438078. Its totient is φ = 10034438076.

The previous prime is 10034438059. The next prime is 10034438119. The reversal of 10034438077 is 77083443001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6701223321 + 3333214756 = 81861^2 + 57734^2 .

It is a cyclic number.

It is not a de Polignac number, because 10034438077 - 223 = 10026049469 is a prime.

It is a super-2 number, since 2×100344380772 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10034438047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5017219038 + 5017219039.

It is an arithmetic number, because the mean of its divisors is an integer number (5017219039).

Almost surely, 210034438077 is an apocalyptic number.

It is an amenable number.

10034438077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10034438077 is an equidigital number, since it uses as much as digits as its factorization.

10034438077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56448, while the sum is 37.

The spelling of 10034438077 in words is "ten billion, thirty-four million, four hundred thirty-eight thousand, seventy-seven".