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105426213401 = 292263476647
BaseRepresentation
bin110001000101111100…
…1000101101000011001
3101002010100000112200102
41202023321011220121
53211403102312101
6120233201345145
710421363012435
oct1421371055031
9332110015612
10105426213401
1140790392593
12185230381b5
139c31a5a1c2
14516198b9c5
152b207d186b
hex188be45a19

105426213401 has 12 divisors (see below), whose sum is σ = 109602347712. Its totient is φ = 101403576624.

The previous prime is 105426213341. The next prime is 105426213457. The reversal of 105426213401 is 104312624501.

It is a de Polignac number, because none of the positive numbers 2k-105426213401 is a prime.

It is a super-2 number, since 2×1054262134012 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105426213461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17141 + ... + 459506.

It is an arithmetic number, because the mean of its divisors is an integer number (9133528976).

Almost surely, 2105426213401 is an apocalyptic number.

It is an amenable number.

105426213401 is a deficient number, since it is larger than the sum of its proper divisors (4176134311).

105426213401 is an equidigital number, since it uses as much as digits as its factorization.

105426213401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476968 (or 476939 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 105426213401 its reverse (104312624501), we get a palindrome (209738837902).

The spelling of 105426213401 in words is "one hundred five billion, four hundred twenty-six million, two hundred thirteen thousand, four hundred one".

Divisors: 1 29 263 841 7627 221183 476647 13822763 125358161 400860127 3635386669 105426213401