Search a number
-
+
121313122320 = 243513199195389
BaseRepresentation
bin111000011111011010…
…0110101100000010000
3102121010112001010200110
41300332310311200100
53441422124403240
6131421441121320
711523152345235
oct1607664654020
9377115033613
10121313122320
11474a3105385
121b617629240
13b594268120
145c2b8c178c
1532503d8c80
hex1c3ed35810

121313122320 has 160 divisors (see below), whose sum is σ = 407036448000. Its totient is φ = 29711480832.

The previous prime is 121313122319. The next prime is 121313122327. The reversal of 121313122320 is 23221313121.

It is not an unprimeable number, because it can be changed into a prime (121313122327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 523186 + ... + 718574.

It is an arithmetic number, because the mean of its divisors is an integer number (2543977800).

Almost surely, 2121313122320 is an apocalyptic number.

121313122320 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 121313122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203518224000).

121313122320 is an abundant number, since it is smaller than the sum of its proper divisors (285723325680).

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

121313122320 is a wasteful number, since it uses less digits than its factorization.

121313122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195617 (or 195611 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 121313122320 its reverse (23221313121), we get a palindrome (144534435441).

The spelling of 121313122320 in words is "one hundred twenty-one billion, three hundred thirteen million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 199 208 240 260 312 390 398 520 597 624 780 796 995 1040 1194 1560 1592 1990 2388 2587 2985 3120 3184 3980 4776 5174 5970 7761 7960 9552 10348 11940 12935 15522 15920 20696 23880 25870 31044 38805 41392 47760 51740 62088 77610 103480 124176 155220 195389 206960 310440 390778 586167 620880 781556 976945 1172334 1563112 1953890 2344668 2540057 2930835 3126224 3907780 4689336 5080114 5861670 7620171 7815560 9378672 10160228 11723340 12700285 15240342 15631120 20320456 23446680 25400570 30480684 38100855 38882411 40640912 46893360 50801140 60961368 76201710 77764822 101602280 116647233 121922736 152403420 155529644 194412055 203204560 233294466 304806840 311059288 388824110 466588932 505471343 583236165 609613680 622118576 777648220 933177864 1010942686 1166472330 1516414029 1555296440 1866355728 2021885372 2332944660 2527356715 3032828058 3110592880 4043770744 4665889320 5054713430 6065656116 7582070145 8087541488 9331778640 10109426860 12131312232 15164140290 20218853720 24262624464 30328280580 40437707440 60656561160 121313122320