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120223320030 = 232511557218021
BaseRepresentation
bin110111111110111011…
…1100100011111011110
3102111022120101102222200
41233331313210133132
53432204132220110
6131121350552330
711454150234132
oct1577567443736
9374276342880
10120223320030
1146a93a25830
121b3726686a6
13b44c547cb8
145b66c793c2
1531d98b96c0
hex1bfdde47de

120223320030 has 96 divisors (see below), whose sum is σ = 341610823008. Its totient is φ = 29092588800.

The previous prime is 120223319963. The next prime is 120223320047. The reversal of 120223320030 is 30023322021.

It is a happy number.

120223320030 is a `hidden beast` number, since 1 + 202 + 233 + 200 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120223319985 and 120223320012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442420 + ... + 660440.

It is an arithmetic number, because the mean of its divisors is an integer number (3558446073).

Almost surely, 2120223320030 is an apocalyptic number.

120223320030 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 120223320030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170805411504).

120223320030 is an abundant number, since it is smaller than the sum of its proper divisors (221387502978).

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

120223320030 is a wasteful number, since it uses less digits than its factorization.

120223320030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218602 (or 218599 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 120223320030 its reverse (30023322021), we get a palindrome (150246642051).

The spelling of 120223320030 in words is "one hundred twenty billion, two hundred twenty-three million, three hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 557 990 1114 1671 2785 3342 5013 5570 6127 8355 10026 12254 16710 18381 25065 30635 36762 50130 55143 61270 91905 110286 183810 218021 275715 436042 551430 654063 1090105 1308126 1962189 2180210 2398231 3270315 3924378 4796462 6540630 7194693 9810945 11991155 14389386 19621890 21584079 23982310 35973465 43168158 71946930 107920395 121437697 215840790 242875394 364313091 607188485 728626182 1092939273 1214376970 1335814667 1821565455 2185878546 2671629334 3643130910 4007444001 5464696365 6679073335 8014888002 10929392730 12022332003 13358146670 20037220005 24044664006 40074440010 60111660015 120223320030