Search a number
-
+
123112303000 = 2353978291531
BaseRepresentation
bin111001010101000010…
…0001010100110011000
3102202202220111222120221
41302222010022212120
54004113222144000
6132320151525424
711615560211041
oct1625204124630
9382686458527
10123112303000
114823675a465
121ba3a089874
13b7bcc2c28b
145d5c8238c8
15330832e61a
hex1caa10a998

123112303000 has 128 divisors (see below), whose sum is σ = 291594139200. Its totient is φ = 48646656000.

The previous prime is 123112302961. The next prime is 123112303001. The reversal of 123112303000 is 303211321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123112303001) 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, 80412235 + ... + 80413765.

Almost surely, 2123112303000 is an apocalyptic number.

123112303000 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 123112303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145797069600).

123112303000 is an abundant number, since it is smaller than the sum of its proper divisors (168481836200).

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

123112303000 is a wasteful number, since it uses less digits than its factorization.

123112303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 123112303000 its reverse (303211321), we get a palindrome (123415514321).

The spelling of 123112303000 in words is "one hundred twenty-three billion, one hundred twelve million, three hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 125 194 200 250 388 485 500 776 829 970 1000 1531 1658 1940 2425 3062 3316 3880 4145 4850 6124 6632 7655 8290 9700 12125 12248 15310 16580 19400 20725 24250 30620 33160 38275 41450 48500 61240 76550 80413 82900 97000 103625 148507 153100 160826 165800 191375 207250 297014 306200 321652 382750 402065 414500 594028 643304 742535 765500 804130 829000 1188056 1269199 1485070 1531000 1608260 2010325 2538398 2970140 3216520 3712675 4020650 5076796 5940280 6345995 7425350 8041300 10051625 10153592 12691990 14850700 16082600 18563375 20103250 25383980 29701400 31729975 37126750 40206500 50767960 63459950 74253500 80413000 123112303 126919900 148507000 158649875 246224606 253839800 317299750 492449212 615561515 634599500 984898424 1231123030 1269199000 2462246060 3077807575 4924492120 6155615150 12311230300 15389037875 24622460600 30778075750 61556151500 123112303000