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212340213234 = 2353711808487
BaseRepresentation
bin1100010111000001110…
…1101000010111110010
3202022002100120110200000
43011300131220113302
511434333043310414
6241314151410430
721224663014032
oct3056035502762
9668070513600
10212340213234
1182064573036
12351a0383a16
131703cac13b6
14a3c4d7d8c2
1557cb9e8b09
hex31707685f2

212340213234 has 48 divisors (see below), whose sum is σ = 490005018048. Its totient is φ = 68867090352.

The previous prime is 212340213233. The next prime is 212340213263. The reversal of 212340213234 is 432312043212.

212340213234 is a `hidden beast` number, since 2 + 1 + 23 + 402 + 1 + 3 + 234 = 666.

212340213234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212340213198 and 212340213207.

It is not an unprimeable number, because it can be changed into a prime (212340213233) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5886262 + ... + 5922225.

It is an arithmetic number, because the mean of its divisors is an integer number (10208437876).

Almost surely, 2212340213234 is an apocalyptic number.

212340213234 is an abundant number, since it is smaller than the sum of its proper divisors (277664804814).

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

212340213234 is a wasteful number, since it uses less digits than its factorization.

212340213234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11808541 (or 11808529 counting only the distinct ones).

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

Adding to 212340213234 its reverse (432312043212), we get a palindrome (644652256446).

The spelling of 212340213234 in words is "two hundred twelve billion, three hundred forty million, two hundred thirteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 666 999 1998 2997 5994 8991 17982 11808487 23616974 35425461 70850922 106276383 212552766 318829149 436914019 637658298 873828038 956487447 1310742057 1912974894 2621484114 2869462341 3932226171 5738924682 7864452342 11796678513 23593357026 35390035539 70780071078 106170106617 212340213234