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120223221330 = 23531839154079
BaseRepresentation
bin110111111110111011…
…1001100011001010010
3102111022120012102121010
41233331313030121102
53432204121040310
6131121344511350
711454146343312
oct1577567143122
9374276172533
10120223221330
1146a93968663
121b37261b556
13b44c5120b4
145b66c51442
1531d989a320
hex1bfddcc652

120223221330 has 64 divisors (see below), whose sum is σ = 298200268800. Its totient is φ = 30988167360.

The previous prime is 120223221301. The next prime is 120223221353. The reversal of 120223221330 is 33122322021.

It is a happy number.

It is a super-3 number, since 3×1202232213303 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120223221297 and 120223221306.

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 31 ways as a sum of consecutive naturals, for example, 703231 + ... + 857309.

It is an arithmetic number, because the mean of its divisors is an integer number (4659379200).

Almost surely, 2120223221330 is an apocalyptic number.

120223221330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120223221330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149100134400).

120223221330 is an abundant number, since it is smaller than the sum of its proper divisors (177977047470).

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

120223221330 is a wasteful number, since it uses less digits than its factorization.

120223221330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154959.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 120223221330 its reverse (33122322021), we get a palindrome (153345543351).

The spelling of 120223221330 in words is "one hundred twenty billion, two hundred twenty-three million, two hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 839 930 1678 2517 4195 5034 8390 12585 25170 26009 52018 78027 130045 154079 156054 260090 308158 390135 462237 770395 780270 924474 1540790 2311185 4622370 4776449 9552898 14329347 23882245 28658694 47764490 71646735 129272281 143293470 258544562 387816843 646361405 775633686 1292722810 1939084215 3878168430 4007440711 8014881422 12022322133 20037203555 24044644266 40074407110 60111610665 120223221330