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21201210212 = 2271327875693
BaseRepresentation
bin10011101111101100…
…001100101101100100
32000201112211001212212
4103233230030231210
5321410002211322
613423435302552
71350246212330
oct235754145544
960645731785
1021201210212
118a9a592036
1241382aaa58
131ccb503c00
141051a4c7c0
158414450e2
hex4efb0cb64

21201210212 has 72 divisors (see below), whose sum is σ = 45981464256. Its totient is φ = 8375163264.

The previous prime is 21201210143. The next prime is 21201210257.

21201210212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3721238 + ... + 3726930.

It is an arithmetic number, because the mean of its divisors is an integer number (638631448).

Almost surely, 221201210212 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 21201210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22990732128).

21201210212 is an abundant number, since it is smaller than the sum of its proper divisors (24780254044).

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

21201210212 is a wasteful number, since it uses less digits than its factorization.

21201210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6517 (or 6502 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The spelling of 21201210212 in words is "twenty-one billion, two hundred one million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 676 787 1183 1574 2366 3148 4732 5509 5693 10231 11018 11386 20462 22036 22772 39851 40924 71617 74009 79702 133003 143234 148018 159404 266006 286468 296036 518063 532012 931021 962117 1036126 1862042 1924234 2072252 3724084 3848468 4480391 6734819 8960782 13469638 17921564 26939276 31362737 58245083 62725474 116490166 125450948 232980332 407715581 757186079 815431162 1514372158 1630862324 3028744316 5300302553 10600605106 21201210212