Search a number
-
+
10077180741 = 321119686749
BaseRepresentation
bin10010110001010010…
…11001001101000101
3222000021222211012100
421120221121031011
5131114224240431
64343540542313
7504502423455
oct113051311505
928007884170
1010077180741
114301340051
121b529b1999
13c479a1554
146b84d3d65
153dea564e6
hex258a59345

10077180741 has 6 divisors (see below), whose sum is σ = 14555927750. Its totient is φ = 6718120488.

The previous prime is 10077180731. The next prime is 10077180823. The reversal of 10077180741 is 14708177001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5391230625 + 4685950116 = 73425^2 + 68454^2 .

It is not a de Polignac number, because 10077180741 - 211 = 10077178693 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10077180696 and 10077180705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10077180731) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 559843366 + ... + 559843383.

Almost surely, 210077180741 is an apocalyptic number.

It is an amenable number.

10077180741 is a deficient number, since it is larger than the sum of its proper divisors (4478747009).

10077180741 is a wasteful number, since it uses less digits than its factorization.

10077180741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119686755 (or 1119686752 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 36.

The spelling of 10077180741 in words is "ten billion, seventy-seven million, one hundred eighty thousand, seven hundred forty-one".

Divisors: 1 3 9 1119686749 3359060247 10077180741