Search a number
-
+
123203130200 = 235229197107827
BaseRepresentation
bin111001010111101111…
…0101001001101011000
3102210000020102111002022
41302233132221031120
54004310000131300
6132333154354012
711621042220263
oct1625736511530
9383006374068
10123203130200
1148282a56267
121ba6458b908
13b8059b0897
145d6a907cda
1533112c1285
hex1caf7a9358

123203130200 has 96 divisors (see below), whose sum is σ = 297831718800. Its totient is φ = 47339927040.

The previous prime is 123203130199. The next prime is 123203130203. The reversal of 123203130200 is 2031302321.

It is a super-2 number, since 2×1232031302002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123203130203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1088687 + ... + 1196513.

Almost surely, 2123203130200 is an apocalyptic number.

123203130200 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 123203130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148915859400).

123203130200 is an abundant number, since it is smaller than the sum of its proper divisors (174628588600).

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

123203130200 is a wasteful number, since it uses less digits than its factorization.

123203130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108069 (or 108060 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 123203130200 its reverse (2031302321), we get a palindrome (125234432521).

The spelling of 123203130200 in words is "one hundred twenty-three billion, two hundred three million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 197 200 232 290 394 580 725 788 985 1160 1450 1576 1970 2900 3940 4925 5713 5800 7880 9850 11426 19700 22852 28565 39400 45704 57130 107827 114260 142825 215654 228520 285650 431308 539135 571300 862616 1078270 1142600 2156540 2695675 3126983 4313080 5391350 6253966 10782700 12507932 15634915 21241919 21565400 25015864 31269830 42483838 62539660 78174575 84967676 106209595 125079320 156349150 169935352 212419190 312698300 424838380 531047975 616015651 625396600 849676760 1062095950 1232031302 2124191900 2464062604 3080078255 4248383800 4928125208 6160156510 12320313020 15400391275 24640626040 30800782550 61601565100 123203130200