Search a number
-
+
123213222200 = 235217291249627
BaseRepresentation
bin111001011000000010…
…1001001000100111000
3102210000221102012201002
41302300011021010320
54004320041102300
6132334154544132
711621224052105
oct1626005110470
9383027365632
10123213222200
1148288719562
121ba67a38048
13b807b05293
145d6bdb3aac
1533121165d5
hex1cb0149138

123213222200 has 96 divisors (see below), whose sum is σ = 313781590800. Its totient is φ = 44786595840.

The previous prime is 123213222179. The next prime is 123213222233. The reversal of 123213222200 is 2222312321.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526214 + ... + 723413.

Almost surely, 2123213222200 is an apocalyptic number.

123213222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123213222200 is an abundant number, since it is smaller than the sum of its proper divisors (190568368600).

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

123213222200 is a wasteful number, since it uses less digits than its factorization.

123213222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249689 (or 1249680 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 123213222200 its reverse (2222312321), we get a palindrome (125435534521).

The spelling of 123213222200 in words is "one hundred twenty-three billion, two hundred thirteen million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 29 34 40 50 58 68 85 100 116 136 145 170 200 232 290 340 425 493 580 680 725 850 986 1160 1450 1700 1972 2465 2900 3400 3944 4930 5800 9860 12325 19720 24650 49300 98600 1249627 2499254 4998508 6248135 9997016 12496270 21243659 24992540 31240675 36239183 42487318 49985080 62481350 72478366 84974636 106218295 124962700 144956732 169949272 181195915 212436590 249925400 289913464 362391830 424873180 531091475 616066111 724783660 849746360 905979575 1062182950 1232132222 1449567320 1811959150 2124365900 2464264444 3080330555 3623918300 4248731800 4928528888 6160661110 7247836600 12321322220 15401652775 24642644440 30803305550 61606611100 123213222200