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120223312100 = 22521202233121
BaseRepresentation
bin110111111110111011…
…1100010100011100100
3102111022120101001002222
41233331313202203210
53432204131441400
6131121350451512
711454150202043
oct1577567424344
9374276331088
10120223312100
1146a93a1a881
121b372663b98
13b44c5444c8
145b66c7655a
1531d98b7185
hex1bfdde28e4

120223312100 has 18 divisors (see below), whose sum is σ = 260884587474. Its totient is φ = 48089324800.

The previous prime is 120223312093. The next prime is 120223312201. The reversal of 120223312100 is 1213322021.

120223312100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 359178304 + 119864133796 = 18952^2 + 346214^2 .

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 5 ways as a sum of consecutive naturals, for example, 601116461 + ... + 601116660.

It is an arithmetic number, because the mean of its divisors is an integer number (14493588193).

Almost surely, 2120223312100 is an apocalyptic number.

120223312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120223312100 is an abundant number, since it is smaller than the sum of its proper divisors (140661275374).

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

120223312100 is a wasteful number, since it uses less digits than its factorization.

120223312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202233135 (or 1202233128 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 120223312100 its reverse (1213322021), we get a palindrome (121436634121).

The spelling of 120223312100 in words is "one hundred twenty billion, two hundred twenty-three million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1202233121 2404466242 4808932484 6011165605 12022331210 24044662420 30055828025 60111656050 120223312100