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13130541777146 = 2163731769126241
BaseRepresentation
bin1011111100010011000101…
…0001110100000011111010
31201111021020000212220102112
42333010301101310003322
53210112322143332041
643532030531532322
72523436031402063
oct277046121640372
951437200786375
1013130541777146
1142026a4580032
121580953a5a0a2
13743287b81731
1433574343d56a
1517b84ed66deb
hexbf1314740fa

13130541777146 has 16 divisors (see below), whose sum is σ = 19708620782760. Its totient is φ = 6561001835520.

The previous prime is 13130541777139. The next prime is 13130541777163. The reversal of 13130541777146 is 64177714503131.

It is a happy number.

13130541777146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2738048637025 + 10392493140121 = 1654705^2 + 3223739^2 .

It is a super-2 number, since 2×131305417771462 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13130541777094 and 13130541777103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103948586 + ... + 104074826.

Almost surely, 213130541777146 is an apocalyptic number.

13130541777146 is a deficient number, since it is larger than the sum of its proper divisors (6578079005614).

13130541777146 is a wasteful number, since it uses less digits than its factorization.

13130541777146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159649.

The product of its (nonzero) digits is 1481760, while the sum is 50.

The spelling of 13130541777146 in words is "thirteen trillion, one hundred thirty billion, five hundred forty-one million, seven hundred seventy-seven thousand, one hundred forty-six".

Divisors: 1 2 1637 3274 31769 63538 126241 252482 52005853 104011706 206656517 413313034 4010550329 8021100658 6565270888573 13130541777146