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123303330020 = 225131771392911
BaseRepresentation
bin111001011010101110…
…0111000000011100100
3102210021012222011101202
41302311130320003210
54010011123030040
6132351134142032
711623400004113
oct1626534700344
9383235864352
10123303330020
1148324573932
121ba92051918
13b820694310
145d79d4bc7a
153319eb5015
hex1cb57380e4

123303330020 has 96 divisors (see below), whose sum is σ = 299417803776. Its totient is φ = 42245683200.

The previous prime is 123303329957. The next prime is 123303330023. The reversal of 123303330020 is 20033303321.

It is a super-2 number, since 2×1233033300202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 123303329974 and 123303330001.

It is not an unprimeable number, because it can be changed into a prime (123303330023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117365 + ... + 510275.

It is an arithmetic number, because the mean of its divisors is an integer number (3118935456).

Almost surely, 2123303330020 is an apocalyptic number.

123303330020 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 123303330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149708901888).

123303330020 is an abundant number, since it is smaller than the sum of its proper divisors (176114473756).

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

123303330020 is a wasteful number, since it uses less digits than its factorization.

123303330020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393021 (or 393019 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 123303330020 its reverse (20033303321), we get a palindrome (143336633341).

The spelling of 123303330020 in words is "one hundred twenty-three billion, three hundred three million, three hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 71 85 130 142 170 221 260 284 340 355 442 710 884 923 1105 1207 1420 1846 2210 2414 3692 4420 4615 4828 6035 9230 12070 15691 18460 24140 31382 62764 78455 156910 313820 392911 785822 1571644 1964555 3929110 5107843 6679487 7858220 10215686 13358974 20431372 25539215 26717948 27896681 33397435 51078430 55793362 66794870 86833331 102156860 111586724 133589740 139483405 173666662 278966810 347333324 362656853 434166655 474243577 557933620 725313706 868333310 948487154 1450627412 1736666620 1813284265 1896974308 2371217885 3626568530 4742435770 6165166501 7253137060 9484871540 12330333002 24660666004 30825832505 61651665010 123303330020