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42210112212 = 22324197294821
BaseRepresentation
bin100111010011111010…
…110011001011010100
311000221200202212111100
4213103322303023110
51142421242042322
631220245110100
73023002014432
oct472372631324
9130850685440
1042210112212
11169a0565064
1282200b8330
133c98c14878
142085d1bd52
151170a4edac
hex9d3eb32d4

42210112212 has 72 divisors (see below), whose sum is σ = 110427349032. Its totient is φ = 13585305600.

The previous prime is 42210112201. The next prime is 42210112223. The reversal of 42210112212 is 21221101224.

42210112212 is a `hidden beast` number, since 422 + 10 + 11 + 221 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (42210112201) and next prime (42210112223).

It can be written as a sum of positive squares in 4 ways, for example, as 938564496 + 41271547716 = 30636^2 + 203154^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4239 + ... + 290582.

It is an arithmetic number, because the mean of its divisors is an integer number (1533713181).

Almost surely, 242210112212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42210112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55213674516).

42210112212 is an abundant number, since it is smaller than the sum of its proper divisors (68217236820).

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

42210112212 is a wasteful number, since it uses less digits than its factorization.

42210112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294969 (or 294964 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 42210112212 its reverse (21221101224), we get a palindrome (63431213436).

The spelling of 42210112212 in words is "forty-two billion, two hundred ten million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 97 123 164 194 246 291 369 388 492 582 738 873 1164 1476 1746 3492 3977 7954 11931 15908 23862 35793 47724 71586 143172 294821 589642 884463 1179284 1768926 2653389 3537852 5306778 10613556 12087661 24175322 28597637 36262983 48350644 57195274 72525966 85792911 108788949 114390548 145051932 171585822 217577898 257378733 343171644 435155796 514757466 1029514932 1172503117 2345006234 3517509351 4690012468 7035018702 10552528053 14070037404 21105056106 42210112212