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213130420107 = 311401147110949
BaseRepresentation
bin1100011001111110010…
…0000001111110001011
3202101010102111010201020
43012133210001332023
511442442341420412
6241524420323523
721253366452123
oct3063744017613
9671112433636
10213130420107
118242a625170
1235380b435a3
1317137725927
14a45bcb9c83
15582608918c
hex319f901f8b

213130420107 has 32 divisors (see below), whose sum is σ = 311020646400. Its totient is φ = 128748480000.

The previous prime is 213130420103. The next prime is 213130420141. The reversal of 213130420107 is 701024031312.

It is a happy number.

It is not a de Polignac number, because 213130420107 - 22 = 213130420103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213130420103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19460269 + ... + 19471217.

It is an arithmetic number, because the mean of its divisors is an integer number (9719395200).

Almost surely, 2213130420107 is an apocalyptic number.

213130420107 is a deficient number, since it is larger than the sum of its proper divisors (97890226293).

213130420107 is a wasteful number, since it uses less digits than its factorization.

213130420107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12835.

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 213130420107 its reverse (701024031312), we get a palindrome (914154451419).

The spelling of 213130420107 in words is "two hundred thirteen billion, one hundred thirty million, four hundred twenty thousand, one hundred seven".

Divisors: 1 3 11 33 401 1203 1471 4411 4413 10949 13233 16181 32847 48543 120439 361317 589871 1769613 4390549 6488581 13171647 16105979 19465743 48296039 48317937 144888117 177165769 531497307 6458497579 19375492737 71043473369 213130420107