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212022101220212 = 222967163716664783
BaseRepresentation
bin110000001101010100111110…
…000001110001101101110100
31000210201010002210001110212102
4300031110332001301231310
5210242232230403021322
62030533335245241232
762442043214522423
oct6015247601615564
91023633083043772
10212022101220212
1161614082808aa8
121b943378863218
13913c7a178075a
143a4dcd29b12ba
15197a2ac434792
hexc0d53e071b74

212022101220212 has 48 divisors (see below), whose sum is σ = 389799963221760. Its totient is φ = 100766204068992.

The previous prime is 212022101220199. The next prime is 212022101220239.

212022101220212 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4390373 + ... + 21055155.

It is an arithmetic number, because the mean of its divisors is an integer number (8120832567120).

Almost surely, 2212022101220212 is an apocalyptic number.

It is an amenable number.

212022101220212 is a deficient number, since it is larger than the sum of its proper divisors (177777862001548).

212022101220212 is a wasteful number, since it uses less digits than its factorization.

212022101220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16666520 (or 16666518 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 21202210 and 1220212, that added together give a palindrome (22422422).

The spelling of 212022101220212 in words is "two hundred twelve trillion, twenty-two billion, one hundred one million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 29 58 67 116 134 268 1637 1943 3274 3886 6548 7772 47473 94946 109679 189892 219358 438716 3180691 6361382 12722764 16664783 33329566 66659132 483278707 966557414 1116540461 1933114828 2233080922 4466161844 27280249771 32379673369 54560499542 64759346738 109120999084 129518693476 791127243359 1582254486718 1827776734657 3164508973436 3655553469314 7311106938628 53005525305053 106011050610106 212022101220212