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220333300120 = 2351719156710883
BaseRepresentation
bin1100110100110011100…
…0110101100110011000
3210001201101222100120001
43031030320311212120
512102220311100440
6245115243142344
721630031102243
oct3151470654630
9701641870501
10220333300120
118549644956a
12368512149b4
1317a14a839cb
14a94276825a
155ae85cab9a
hex334ce35998

220333300120 has 128 divisors (see below), whose sum is σ = 552942028800. Its totient is φ = 78525904896.

The previous prime is 220333300043. The next prime is 220333300129. The reversal of 220333300120 is 21003333022.

It is a happy number.

220333300120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220333300129) 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, 20240199 + ... + 20251081.

It is an arithmetic number, because the mean of its divisors is an integer number (4319859600).

Almost surely, 2220333300120 is an apocalyptic number.

220333300120 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 220333300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276471014400).

220333300120 is an abundant number, since it is smaller than the sum of its proper divisors (332608728680).

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

220333300120 is a wasteful number, since it uses less digits than its factorization.

220333300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12497 (or 12493 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 220333300120 its reverse (21003333022), we get a palindrome (241336633142).

The spelling of 220333300120 in words is "two hundred twenty billion, three hundred thirty-three million, three hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 1292 1567 1615 2584 3134 3230 6268 6460 7835 10883 12536 12920 15670 21766 26639 29773 31340 43532 53278 54415 59546 62680 87064 106556 108830 119092 133195 148865 185011 206777 213112 217660 238184 266390 297730 370022 413554 435320 506141 532780 595460 740044 827108 925055 1012282 1033885 1065560 1190920 1480088 1654216 1850110 2024564 2067770 2530705 3515209 3700220 4049128 4135540 5061410 7030418 7400440 8271080 10122820 14060836 17053661 17576045 20245640 28121672 34107322 35152090 68214644 70304180 85268305 136429288 140608360 170536610 289912237 324019559 341073220 579824474 648039118 682146440 1159648948 1296078236 1449561185 1620097795 2319297896 2592156472 2899122370 3240195590 5508332503 5798244740 6480391180 11016665006 11596489480 12960782360 22033330012 27541662515 44066660024 55083325030 110166650060 220333300120