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105513002381 is a prime number
BaseRepresentation
bin110001001000100010…
…0001010010110001101
3101002100101022212210002
41202101010022112031
53212042312034011
6120245541454045
710423465502513
oct1422104122615
9332311285702
10105513002381
1140825380416
1218548111325
139c46a26727
14516d3004b3
152b28226c3b
hex189110a58d

105513002381 has 2 divisors, whose sum is σ = 105513002382. Its totient is φ = 105513002380.

The previous prime is 105513002369. The next prime is 105513002429. The reversal of 105513002381 is 183200315501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104905379881 + 607622500 = 323891^2 + 24650^2 .

It is a cyclic number.

It is not a de Polignac number, because 105513002381 - 210 = 105513001357 is a prime.

It is a super-2 number, since 2×1055130023812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105513002321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52756501190 + 52756501191.

It is an arithmetic number, because the mean of its divisors is an integer number (52756501191).

Almost surely, 2105513002381 is an apocalyptic number.

It is an amenable number.

105513002381 is a deficient number, since it is larger than the sum of its proper divisors (1).

105513002381 is an equidigital number, since it uses as much as digits as its factorization.

105513002381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3600, while the sum is 29.

Adding to 105513002381 its reverse (183200315501), we get a palindrome (288713317882).

The spelling of 105513002381 in words is "one hundred five billion, five hundred thirteen million, two thousand, three hundred eighty-one".