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213428824312 = 23112425327549
BaseRepresentation
bin1100011011000101011…
…0010110100011111000
3202101220012222122022211
43012301112112203320
511444100234334222
6242014200224504
721263652034204
oct3066126264370
9671805878284
10213428824312
1182573009710
1235444a6b134
13171844b5272
14a489795b04
155842380277
hex31b15968f8

213428824312 has 16 divisors (see below), whose sum is σ = 436558959000. Its totient is φ = 97013101920.

The previous prime is 213428824307. The next prime is 213428824327.

213428824312 is nontrivially palindromic in base 10.

213428824312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 1212663687 + ... + 1212663862.

Almost surely, 2213428824312 is an apocalyptic number.

213428824312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213428824312 is an abundant number, since it is smaller than the sum of its proper divisors (223130134688).

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

213428824312 is a wasteful number, since it uses less digits than its factorization.

213428824312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425327566 (or 2425327562 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The spelling of 213428824312 in words is "two hundred thirteen billion, four hundred twenty-eight million, eight hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 2425327549 4850655098 9701310196 19402620392 26678603039 53357206078 106714412156 213428824312