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123303213220 = 225112233218677
BaseRepresentation
bin111001011010101110…
…0011011100010100100
3102210021012202020011211
41302311130123202210
54010011110310340
6132351131441204
711623366006435
oct1626534334244
9383235666154
10123303213220
11483244a4100
121ba91bb6204
13b8206530c5
145d79d1b48c
153319e905ea
hex1cb571b8a4

123303213220 has 72 divisors (see below), whose sum is σ = 285839262072. Its totient is φ = 44644892160.

The previous prime is 123303213199. The next prime is 123303213223. The reversal of 123303213220 is 22312303321.

123303213220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25489399716 + 97813813504 = 159654^2 + 312752^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 123303213191 and 123303213200.

It is not an unprimeable number, because it can be changed into a prime (123303213223) 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 23 ways as a sum of consecutive naturals, for example, 454522 + ... + 673198.

It is an arithmetic number, because the mean of its divisors is an integer number (3969989751).

Almost surely, 2123303213220 is an apocalyptic number.

123303213220 is a gapful number since it is divisible by the number (10) 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 123303213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142919631036).

123303213220 is an abundant number, since it is smaller than the sum of its proper divisors (162536048852).

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

123303213220 is a wasteful number, since it uses less digits than its factorization.

123303213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218941 (or 218928 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 123303213220 its reverse (22312303321), we get a palindrome (145615516541).

The spelling of 123303213220 in words is "one hundred twenty-three billion, three hundred three million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 233 242 466 484 605 932 1165 1210 2330 2420 2563 4660 5126 10252 12815 25630 28193 51260 56386 112772 140965 218677 281930 437354 563860 874708 1093385 2186770 2405447 4373540 4810894 9621788 12027235 24054470 26459917 48108940 50951741 52919834 101903482 105839668 132299585 203806964 254758705 264599170 509517410 529198340 560469151 1019034820 1120938302 2241876604 2802345755 5604691510 6165160661 11209383020 12330321322 24660642644 30825803305 61651606610 123303213220