Search a number
-
+
121303001232 = 24327149380603
BaseRepresentation
bin111000011111000111…
…0001110100010010000
3102121002210222221011100
41300332032032202100
53441412032014412
6131420440144400
711523000332550
oct1607616164220
9377083887140
10121303001232
1147498422246
121b614168100
13b59213340a
145c2a409160
15324e589edc
hex1c3e38e890

121303001232 has 120 divisors (see below), whose sum is σ = 388241740224. Its totient is φ = 34634356992.

The previous prime is 121303001227. The next prime is 121303001257. The reversal of 121303001232 is 232100303121.

121303001232 is a `hidden beast` number, since 1 + 2 + 130 + 300 + 1 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1464643 + ... + 1545245.

Almost surely, 2121303001232 is an apocalyptic number.

121303001232 is a gapful number since it is divisible by the number (12) 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 121303001232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194120870112).

121303001232 is an abundant number, since it is smaller than the sum of its proper divisors (266938738992).

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

121303001232 is a wasteful number, since it uses less digits than its factorization.

121303001232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82117 (or 82108 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 121303001232 its reverse (232100303121), we get a palindrome (353403304353).

The spelling of 121303001232 in words is "one hundred twenty-one billion, three hundred three million, one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1493 2986 4479 5972 8958 10451 11944 13437 17916 20902 23888 26874 31353 35832 41804 53748 62706 71664 80603 83608 94059 107496 125412 161206 167216 188118 214992 241809 250824 322412 376236 483618 501648 564221 644824 725427 752472 967236 1128442 1289648 1450854 1504944 1692663 1934472 2256884 2901708 3385326 3868944 4513768 5077989 5803416 6770652 9027536 10155978 11606832 13541304 20311956 27082608 40623912 81247824 120340279 240680558 361020837 481361116 722041674 842381953 962722232 1083062511 1444083348 1684763906 1925444464 2166125022 2527145859 2888166696 3369527812 4332250044 5054291718 5776333392 6739055624 7581437577 8664500088 10108583436 13478111248 15162875154 17329000176 20217166872 30325750308 40434333744 60651500616 121303001232