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120320110222230 = 23553149683743591
BaseRepresentation
bin11011010110111000110101…
…011011011101101110010110
3120210000111020100122012102010
4123112320311123131232112
5111232311041204102410
61103522143501525050
734225561332162162
oct3326706533355626
9523014210565363
10120320110222230
1135379521533086
12115b2a15573786
13521a1a3715759
14219d74ad89ca2
15dd9c075a3c20
hex6d6e356ddb96

120320110222230 has 128 divisors (see below), whose sum is σ = 296625392409600. Its totient is φ = 31222880099840.

The previous prime is 120320110222141. The next prime is 120320110222237. The reversal of 120320110222230 is 32222011023021.

It is a super-2 number, since 2×1203201102222302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120320110222197 and 120320110222206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120320110222237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161437735 + ... + 162181325.

It is an arithmetic number, because the mean of its divisors is an integer number (2317385878200).

Almost surely, 2120320110222230 is an apocalyptic number.

120320110222230 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 120320110222230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148312696204800).

120320110222230 is an abundant number, since it is smaller than the sum of its proper divisors (176305282187370).

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

120320110222230 is a wasteful number, since it uses less digits than its factorization.

120320110222230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744486.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 120320110222230 its reverse (32222011023021), we get a palindrome (152542121245251).

The spelling of 120320110222230 in words is "one hundred twenty trillion, three hundred twenty billion, one hundred ten million, two hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 149 159 265 298 318 447 530 683 745 795 894 1366 1490 1590 2049 2235 3415 4098 4470 6830 7897 10245 15794 20490 23691 36199 39485 47382 72398 78970 101767 108597 118455 180995 203534 217194 236910 305301 361990 508835 542985 610602 743591 1017670 1085970 1487182 1526505 2230773 3053010 3717955 4461546 5393651 7435910 10787302 11153865 16180953 22307730 26968255 32361906 39410323 53936510 78820646 80904765 110795059 118230969 161809530 197051615 221590118 236461938 332385177 394103230 507872653 553975295 591154845 664770354 1015745306 1107950590 1182309690 1523617959 1661925885 2539363265 3047235918 3323851770 5078726530 5872138127 7618089795 11744276254 15236179590 17616414381 26917250609 29360690635 35232828762 53834501218 58721381270 75673025297 80751751827 88082071905 134586253045 151346050594 161503503654 176164143810 227019075891 269172506090 378365126485 403758759135 454038151782 756730252970 807517518270 1135095379455 2270190758910 4010670340741 8021340681482 12032011022223 20053351703705 24064022044446 40106703407410 60160055111115 120320110222230