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213130420132 = 227131132743787
BaseRepresentation
bin1100011001111110010…
…0000001111110100100
3202101010102111010202011
43012133210001332210
511442442341421012
6241524420324004
721253366452160
oct3063744017644
9671112433664
10213130420132
118242a625193
1235380b43604
1317137725946
14a45bcb9ca0
1558260891a7
hex319f901fa4

213130420132 has 48 divisors (see below), whose sum is σ = 429848229888. Its totient is φ = 90573968160.

The previous prime is 213130420103. The next prime is 213130420141. The reversal of 213130420132 is 231024031312.

213130420132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4845543 + ... + 4889329.

It is an arithmetic number, because the mean of its divisors is an integer number (8955171456).

Almost surely, 2213130420132 is an apocalyptic number.

It is an amenable number.

213130420132 is an abundant number, since it is smaller than the sum of its proper divisors (216717809756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213130420132 is a wasteful number, since it uses less digits than its factorization.

213130420132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45256 (or 45254 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 213130420132 its reverse (231024031312), we get a palindrome (444154451444).

The spelling of 213130420132 in words is "two hundred thirteen billion, one hundred thirty million, four hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 131 262 524 917 1327 1834 2654 3668 5308 9289 18578 37156 43787 87574 173837 175148 306509 347674 613018 695348 1216859 1226036 2433718 4867436 5736097 11472194 22944388 40152679 58105349 80305358 116210698 160610716 232421396 406737443 813474886 1626949772 7611800719 15223601438 30447202876 53282605033 106565210066 213130420132