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213229922312 = 23113421370823
BaseRepresentation
bin1100011010010101111…
…1100110100000001000
3202101101100201101002002
43012211133212200020
511443143330003222
6241542333130132
721256015302041
oct3064537464010
9671340641062
10213229922312
11824808066a0
12353aa329948
1317152223984
14a46b1bb8c8
15582eb91392
hex31a57e6808

213229922312 has 32 divisors (see below), whose sum is σ = 436171020480. Its totient is φ = 96918490560.

The previous prime is 213229922281. The next prime is 213229922351.

213229922312 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2975333 + ... + 3046155.

It is an arithmetic number, because the mean of its divisors is an integer number (13630344390).

Almost surely, 2213229922312 is an apocalyptic number.

213229922312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213229922312 is an abundant number, since it is smaller than the sum of its proper divisors (222941098168).

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

213229922312 is a wasteful number, since it uses less digits than its factorization.

213229922312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105053 (or 105049 counting only the distinct ones).

The product of its digits is 46656, while the sum is 38.

The spelling of 213229922312 in words is "two hundred thirteen billion, two hundred twenty-nine million, nine hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 34213 68426 70823 136852 141646 273704 283292 376343 566584 752686 779053 1505372 1558106 3010744 3116212 6232424 2423067299 4846134598 9692269196 19384538392 26653740289 53307480578 106614961156 213229922312