Search a number
-
+
12023100240 = 2435597111959
BaseRepresentation
bin10110011001010000…
…11111001101010000
31011000220120202220220
423030220133031100
5144110403201430
65305012433040
7603641444244
oct131450371520
934026522826
1012023100240
11510a7aa188
1223b6618780
131197b920c8
14820b12424
154a57d5110
hex2cca1f350

12023100240 has 160 divisors (see below), whose sum is σ = 38440396800. Its totient is φ = 3107166720.

The previous prime is 12023100223. The next prime is 12023100319. The reversal of 12023100240 is 4200132021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 999381 + ... + 1011339.

It is an arithmetic number, because the mean of its divisors is an integer number (240252480).

Almost surely, 212023100240 is an apocalyptic number.

12023100240 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 12023100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19220198400).

12023100240 is an abundant number, since it is smaller than the sum of its proper divisors (26417296560).

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

12023100240 is a wasteful number, since it uses less digits than its factorization.

12023100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12105 (or 12099 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12023100240 its reverse (4200132021), we get a palindrome (16223232261).

The spelling of 12023100240 in words is "twelve billion, twenty-three million, one hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 71 80 118 120 142 177 213 236 240 284 295 354 355 426 472 568 590 708 710 852 885 944 1065 1136 1180 1416 1420 1704 1770 2130 2360 2832 2840 3408 3540 4189 4260 4720 5680 7080 8378 8520 11959 12567 14160 16756 17040 20945 23918 25134 33512 35877 41890 47836 50268 59795 62835 67024 71754 83780 95672 100536 119590 125670 143508 167560 179385 191344 201072 239180 251340 287016 335120 358770 478360 502680 574032 705581 717540 849089 956720 1005360 1411162 1435080 1698178 2116743 2547267 2822324 2870160 3396356 3527905 4233486 4245445 5094534 5644648 6792712 7055810 8466972 8490890 10189068 10583715 11289296 12736335 13585424 14111620 16933944 16981780 20378136 21167430 25472670 28223240 33867888 33963560 40756272 42334860 50096251 50945340 56446480 67927120 84669720 100192502 101890680 150288753 169339440 200385004 203781360 250481255 300577506 400770008 500962510 601155012 751443765 801540016 1001925020 1202310024 1502887530 2003850040 2404620048 3005775060 4007700080 6011550120 12023100240