Search a number
-
+
121313010320 = 2451926916079
BaseRepresentation
bin111000011111011010…
…0011010001010010000
3102121010111211110001022
41300332310122022100
53441422112312240
6131421434455012
711523151400555
oct1607664321220
9377114743038
10121313010320
11474a3039217
121b617594468
13b594229158
145c2b892a2c
1532503b59b5
hex1c3ed1a290

121313010320 has 120 divisors (see below), whose sum is σ = 298158773760. Its totient is φ = 45897166080.

The previous prime is 121313010211. The next prime is 121313010419. The reversal of 121313010320 is 23010313121.

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, 19953041 + ... + 19959119.

It is an arithmetic number, because the mean of its divisors is an integer number (2484656448).

Almost surely, 2121313010320 is an apocalyptic number.

121313010320 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 121313010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149079386880).

121313010320 is an abundant number, since it is smaller than the sum of its proper divisors (176845763440).

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

121313010320 is a wasteful number, since it uses less digits than its factorization.

121313010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6821 (or 6796 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 121313010320 its reverse (23010313121), we get a palindrome (144323323441).

The spelling of 121313010320 in words is "one hundred twenty-one billion, three hundred thirteen million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 361 380 691 722 760 1382 1444 1520 1805 2764 2888 3455 3610 5528 5776 6079 6910 7220 11056 12158 13129 13820 14440 24316 26258 27640 28880 30395 48632 52516 55280 60790 65645 97264 105032 115501 121580 131290 210064 231002 243160 249451 262580 462004 486320 498902 525160 577505 924008 997804 1050320 1155010 1247255 1848016 1995608 2194519 2310020 2494510 3991216 4200589 4389038 4620040 4989020 8401178 8778076 9240080 9978040 10972595 16802356 17556152 19956080 21002945 21945190 33604712 35112304 42005890 43890380 67209424 79811191 84011780 87780760 159622382 168023560 175561520 319244764 336047120 399055955 638489528 798111910 1276979056 1516412629 1596223820 3032825258 3192447640 6065650516 6384895280 7582063145 12131301032 15164126290 24262602064 30328252580 60656505160 121313010320