Search a number
-
+
213431030442 = 232737310134483
BaseRepresentation
bin1100011011000101111…
…0110001001010101010
3202101220101010201120100
43012301132301022222
511444101320433232
6242014315410230
721264006553110
oct3066136611252
9671811121510
10213431030442
1182574286163
1235445753976
1317184aa8476
14a489babab0
155842668c7c
hex31b17b12aa

213431030442 has 96 divisors (see below), whose sum is σ = 530554197888. Its totient is φ = 60743219328.

The previous prime is 213431030431. The next prime is 213431030467. The reversal of 213431030442 is 244030134312.

213431030442 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 310 + 304 + 42 = 666.

213431030442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2134310304423 (a number of 35 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 47606733 + ... + 47611215.

It is an arithmetic number, because the mean of its divisors is an integer number (5526606228).

Almost surely, 2213431030442 is an apocalyptic number.

213431030442 is an abundant number, since it is smaller than the sum of its proper divisors (317123167446).

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

213431030442 is a wasteful number, since it uses less digits than its factorization.

213431030442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 213431030442 its reverse (244030134312), we get a palindrome (457461164754).

The spelling of 213431030442 in words is "two hundred thirteen billion, four hundred thirty-one million, thirty thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 373 746 1013 1119 2026 2238 2611 3039 3357 4483 5222 6078 6714 7091 7833 8966 9117 13449 14182 15666 18234 21273 23499 26898 31381 40347 42546 46998 62762 63819 80694 94143 127638 188286 282429 377849 564858 755698 1133547 1672159 2267094 2644943 3344318 3400641 4541279 5016477 5289886 6801282 7934829 9082558 10032954 11705113 13623837 15049431 15869658 23410226 23804487 27247674 30098862 31788953 35115339 40871511 47608974 63577906 70230678 81743022 95366859 105346017 190733718 210692034 286100577 572201154 1693897067 3387794134 5081691201 10163382402 11857279469 15245073603 23714558938 30490147206 35571838407 71143676814 106715515221 213431030442