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212133114224 = 24149602914759
BaseRepresentation
bin1100010110010000011…
…1100111000101110000
3202021112220212202020022
43011210013213011300
511433422034123344
6241241432503012
721216566501603
oct3054407470560
9667486782208
10212133114224
1181a68681529
1235142b4aa68
1317008c1cac5
14a3a567033a
1557b873b0ee
hex31641e7170

212133114224 has 40 divisors (see below), whose sum is σ = 413863020000. Its totient is φ = 105330089216.

The previous prime is 212133114203. The next prime is 212133114229. The reversal of 212133114224 is 422411331212.

It is a happy number.

It is a super-2 number, since 2×2121331142242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212133114193 and 212133114202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212133114229) by changing a digit.

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, 14365757 + ... + 14380515.

It is an arithmetic number, because the mean of its divisors is an integer number (10346575500).

Almost surely, 2212133114224 is an apocalyptic number.

It is an amenable number.

212133114224 is a deficient number, since it is larger than the sum of its proper divisors (201729905776).

212133114224 is a wasteful number, since it uses less digits than its factorization.

212133114224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20945 (or 20939 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

Adding to 212133114224 its reverse (422411331212), we get a palindrome (634544445436).

The spelling of 212133114224 in words is "two hundred twelve billion, one hundred thirty-three million, one hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 149 298 596 1192 2384 6029 12058 14759 24116 29518 48232 59036 96464 118072 236144 898321 1796642 2199091 3593284 4398182 7186568 8796364 14373136 17592728 35185456 88982011 177964022 355928044 711856088 1423712176 13258319639 26516639278 53033278556 106066557112 212133114224