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220123311012 = 2232113719977523
BaseRepresentation
bin1100110100000001011…
…1110010101110100100
3210001011202211210122200
43031000113302232210
512101303031423022
6245042342254500
721621601162143
oct3150027625644
9701152753580
10220123311012
1185398963650
12367b2a27430
13179b040cab7
14a92290575a
155ad4e4bbac
hex33405f2ba4

220123311012 has 144 divisors (see below), whose sum is σ = 623807376192. Its totient is φ = 64860099840.

The previous prime is 220123311011. The next prime is 220123311017. The reversal of 220123311012 is 210113321022.

220123311012 is a `hidden beast` number, since 220 + 12 + 331 + 101 + 2 = 666.

220123311012 is digitally balanced in base 3, 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 (18).

It is not an unprimeable number, because it can be changed into a prime (220123311011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29256283 + ... + 29263805.

It is an arithmetic number, because the mean of its divisors is an integer number (4331995668).

Almost surely, 2220123311012 is an apocalyptic number.

220123311012 is a gapful number since it is divisible by the number (22) 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 220123311012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311903688096).

220123311012 is an abundant number, since it is smaller than the sum of its proper divisors (403684065180).

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

220123311012 is a wasteful number, since it uses less digits than its factorization.

220123311012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9578 (or 9573 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 220123311012 its reverse (210113321022), we get a palindrome (430236632034).

It can be divided in two parts, 220123 and 311012, that added together give a palindrome (531135).

The spelling of 220123311012 in words is "two hundred twenty billion, one hundred twenty-three million, three hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 1997 2442 3663 3994 4884 5991 7326 7523 7988 11982 14652 15046 17973 21967 22569 23964 30092 35946 43934 45138 65901 67707 71892 73889 82753 87868 90276 131802 135414 147778 165506 197703 221667 248259 263604 270828 278351 295556 331012 395406 443334 496518 556702 665001 744777 790812 812779 835053 886668 993036 1113404 1330002 1489554 1625558 1670106 2438337 2505159 2660004 2979108 3061861 3251116 3340212 4876674 5010318 6123722 7315011 9185583 9753348 10020636 12247444 14630022 15023431 18371166 27556749 29260044 30046862 36742332 45070293 55113498 60093724 90140586 110226996 135210879 165257741 180281172 270421758 330515482 495773223 540843516 555866947 661030964 991546446 1111733894 1487319669 1667600841 1983092892 2223467788 2974639338 3335201682 5002802523 5949278676 6114536417 6670403364 10005605046 12229072834 18343609251 20011210092 24458145668 36687218502 55030827753 73374437004 110061655506 220123311012