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20220100212 = 223131012814567
BaseRepresentation
bin10010110101001101…
…100011111001110100
31221012011200111222110
4102311031203321310
5312402321201322
613142230531020
71314034005324
oct226515437164
957164614873
1020220100212
1186367a0624
123b03806a70
131ba317bb50
14d9b61b284
157d5245c0c
hex4b5363e74

20220100212 has 96 divisors (see below), whose sum is σ = 51506429184. Its totient is φ = 6136704000.

The previous prime is 20220100211. The next prime is 20220100223. The reversal of 20220100212 is 21200102202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20220100211) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4425153 + ... + 4429719.

It is an arithmetic number, because the mean of its divisors is an integer number (536525304).

Almost surely, 220220100212 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 20220100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25753214592).

20220100212 is an abundant number, since it is smaller than the sum of its proper divisors (31286328972).

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

20220100212 is a wasteful number, since it uses less digits than its factorization.

20220100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4969 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20220100212 its reverse (21200102202), we get a palindrome (41420202414).

The spelling of 20220100212 in words is "twenty billion, two hundred twenty million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 101 156 202 281 303 404 562 606 843 1124 1212 1313 1686 2626 3372 3653 3939 4567 5252 7306 7878 9134 10959 13701 14612 15756 18268 21918 27402 28381 43836 54804 56762 59371 85143 113524 118742 170286 178113 237484 340572 356226 368953 461267 712452 737906 922534 1106859 1283327 1383801 1475812 1845068 2213718 2566654 2767602 3849981 4427436 5133308 5535204 5996471 7699962 11992942 15399924 16683251 17989413 23985884 33366502 35978826 50049753 66733004 71957652 100099506 129616027 200199012 259232054 388848081 518464108 777696162 1555392324 1685008351 3370016702 5055025053 6740033404 10110050106 20220100212