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21221200102212 = 22331117862963049
BaseRepresentation
bin1001101001100111100100…
…00110000000001101000100
32210010201121220220101122000
410310303302012000031010
510240142004211232322
6113044515034305300
74320116056434045
oct464636206001504
983121556811560
1021221200102212
116841951249760
122468988b88230
13bac1c5aa5206
1453517c1c68cc
1526c02ad483ac
hex134cf2180344

21221200102212 has 48 divisors (see below), whose sum is σ = 60019555848000. Its totient is φ = 6430666697280.

The previous prime is 21221200102211. The next prime is 21221200102213. The reversal of 21221200102212 is 21220100212212.

It is a happy number.

21221200102212 is a `hidden beast` number, since 21 + 221 + 200 + 1 + 0 + 221 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (21221200102211) and next prime (21221200102213).

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

It is not an unprimeable number, because it can be changed into a prime (21221200102211) 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 15 ways as a sum of consecutive naturals, for example, 8931480337 + ... + 8931482712.

It is an arithmetic number, because the mean of its divisors is an integer number (1250407413500).

Almost surely, 221221200102212 is an apocalyptic number.

21221200102212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21221200102212 is an abundant number, since it is smaller than the sum of its proper divisors (38798355745788).

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

21221200102212 is a wasteful number, since it uses less digits than its factorization.

21221200102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17862963073 (or 17862963065 counting only the distinct ones).

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

Adding to 21221200102212 its reverse (21220100212212), we get a palindrome (42441300314424).

The spelling of 21221200102212 in words is "twenty-one trillion, two hundred twenty-one billion, two hundred million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 17862963049 35725926098 53588889147 71451852196 107177778294 160766667441 196492593539 214355556588 321533334882 392985187078 482300002323 589477780617 643066669764 785970374156 964600004646 1178955561234 1768433341851 1929200009292 2357911122468 3536866683702 5305300025553 7073733367404 10610600051106 21221200102212