Search a number
-
+
12233131232100 = 22352577641110251
BaseRepresentation
bin1011001000000011111101…
…1100010000101101100100
31121022110211221121202121020
42302000333130100231210
53100411423043411400
642003453425251140
72401546252542642
oct262007734205544
947273757552536
1012233131232100
113997050733059
121456a42a93ab0
136a976ba158bc
1430412dd12192
15163329d362a0
hexb203f710b64

12233131232100 has 144 divisors (see below), whose sum is σ = 35511504159936. Its totient is φ = 3251404800000.

The previous prime is 12233131232083. The next prime is 12233131232107. The reversal of 12233131232100 is 123213133221.

It is not an unprimeable number, because it can be changed into a prime (12233131232107) 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, 110901975 + ... + 111012225.

Almost surely, 212233131232100 is an apocalyptic number.

12233131232100 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 12233131232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17755752079968).

12233131232100 is an abundant number, since it is smaller than the sum of its proper divisors (23278372927836).

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

12233131232100 is a wasteful number, since it uses less digits than its factorization.

12233131232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111486 (or 111479 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12233131232100 its reverse (123213133221), we get a palindrome (12356344365321).

The spelling of 12233131232100 in words is "twelve trillion, two hundred thirty-three billion, one hundred thirty-one million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 577 641 1154 1282 1731 1923 2308 2564 2885 3205 3462 3846 5770 6410 6924 7692 8655 9615 11540 12820 14425 16025 17310 19230 28850 32050 34620 38460 43275 48075 57700 64100 86550 96150 110251 173100 192300 220502 330753 369857 441004 551255 661506 739714 1102510 1109571 1323012 1479428 1653765 1849285 2205020 2219142 2756275 3307530 3698570 4438284 5512550 5547855 6615060 7397140 8268825 9246425 11025100 11095710 16537650 18492850 22191420 27739275 33075300 36985700 55478550 63614827 70670891 110957100 127229654 141341782 190844481 212012673 254459308 282683564 318074135 353354455 381688962 424025346 636148270 706708910 763377924 848050692 954222405 1060063365 1272296540 1413417820 1590370675 1766772275 1908444810 2120126730 3180741350 3533544550 3816889620 4240253460 4771112025 5300316825 6361482700 7067089100 9542224050 10600633650 19084448100 21201267300 40777104107 81554208214 122331312321 163108416428 203885520535 244662624642 407771041070 489325249284 611656561605 815542082140 1019427602675 1223313123210 2038855205350 2446626246420 3058282808025 4077710410700 6116565616050 12233131232100