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105515770813 is a prime number
BaseRepresentation
bin110001001000100111…
…0101110001110111101
3101002100120112112100121
41202101032232032331
53212044014131223
6120250121054541
710423531152655
oct1422116561675
9332316475317
10105515770813
11408269a1382
1218549027451
139c4748585b
14516d821365
152b285c215d
hex18913ae3bd

105515770813 has 2 divisors, whose sum is σ = 105515770814. Its totient is φ = 105515770812.

The previous prime is 105515770783. The next prime is 105515770819. The reversal of 105515770813 is 318077515501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65804049529 + 39711721284 = 256523^2 + 199278^2 .

It is a cyclic number.

It is not a de Polignac number, because 105515770813 - 25 = 105515770781 is a prime.

It is a super-2 number, since 2×1055157708132 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105515770813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105515770819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52757885406 + 52757885407.

It is an arithmetic number, because the mean of its divisors is an integer number (52757885407).

Almost surely, 2105515770813 is an apocalyptic number.

It is an amenable number.

105515770813 is a deficient number, since it is larger than the sum of its proper divisors (1).

105515770813 is an equidigital number, since it uses as much as digits as its factorization.

105515770813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 147000, while the sum is 43.

The spelling of 105515770813 in words is "one hundred five billion, five hundred fifteen million, seven hundred seventy thousand, eight hundred thirteen".