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212112113229 = 32293768332159
BaseRepresentation
bin1100010110001011011…
…1011111111001001101
3202021111110100210021200
43011202313133321031
511433401200110404
6241235402420113
721216223133322
oct3054267377115
9667443323250
10212112113229
1181a57838135
1235137b01639
1317004778b93
14a3a2964b49
1557b698d839
hex3162ddfe4d

212112113229 has 48 divisors (see below), whose sum is σ = 326002060800. Its totient is φ = 132643260288.

The previous prime is 212112113201. The next prime is 212112113237. The reversal of 212112113229 is 922311211212.

212112113229 is a `hidden beast` number, since 2 + 121 + 1 + 211 + 322 + 9 = 666.

It is not a de Polignac number, because 212112113229 - 25 = 212112113197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112113729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6579652 + ... + 6611810.

It is an arithmetic number, because the mean of its divisors is an integer number (6791709600).

Almost surely, 2212112113229 is an apocalyptic number.

212112113229 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

212112113229 is a deficient number, since it is larger than the sum of its proper divisors (113889947571).

212112113229 is a wasteful number, since it uses less digits than its factorization.

212112113229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32914 (or 32911 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The spelling of 212112113229 in words is "two hundred twelve billion, one hundred twelve million, one hundred thirteen thousand, two hundred twenty-nine".

Divisors: 1 3 9 29 37 87 111 261 333 683 1073 2049 3219 6147 9657 19807 25271 32159 59421 75813 96477 178263 227439 289431 732859 932611 1189883 2198577 2797833 3569649 6595731 8393499 10708947 21964597 34506607 65893791 103519821 197681373 310559463 636973313 812690089 1910919939 2438070267 5732759817 7314210801 23568012581 70704037743 212112113229