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220023121100 = 225289191312923
BaseRepresentation
bin1100110011101001100…
…1100110010011001100
3210000220210022121221012
43030322121212103030
512101101404333400
6245024403024352
721616243446236
oct3147231462314
9700823277835
10220023121100
1185347352472
123678536b0b8
1317995730a23
14a9134a5256
155acb25ad35
hex333a6664cc

220023121100 has 72 divisors (see below), whose sum is σ = 483104548080. Its totient is φ = 86968161280.

The previous prime is 220023121099. The next prime is 220023121139. The reversal of 220023121100 is 1121320022.

It is a happy number.

220023121100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 17019239 + ... + 17032161.

It is an arithmetic number, because the mean of its divisors is an integer number (6709785390).

Almost surely, 2220023121100 is an apocalyptic number.

220023121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220023121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241552274040).

220023121100 is an abundant number, since it is smaller than the sum of its proper divisors (263081426980).

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

220023121100 is a wasteful number, since it uses less digits than its factorization.

220023121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14939 (or 14932 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 220023121100 its reverse (1121320022), we get a palindrome (221144441122).

The spelling of 220023121100 in words is "two hundred twenty billion, twenty-three million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1780 1913 2225 3826 4450 7652 8900 9565 12923 19130 25846 38260 47825 51692 64615 95650 129230 170257 191300 258460 323075 340514 646150 681028 851285 1150147 1292300 1702570 2300294 3405140 4256425 4600588 5750735 8512850 11501470 17025700 23002940 24721699 28753675 49443398 57507350 98886796 115014700 123608495 247216990 494433980 618042475 1236084950 2200231211 2472169900 4400462422 8800924844 11001156055 22002312110 44004624220 55005780275 110011560550 220023121100