Search a number
-
+
121323020 = 225721389107
BaseRepresentation
bin1110011101100…
…11111000001100
322110021211220012
413032303320030
5222024314040
620012212352
73002141300
oct716637014
9273254805
10121323020
1162535865
123476a0b8
131c19b190
1412181d00
15a9b7865
hex73b3e0c

121323020 has 144 divisors (see below), whose sum is σ = 325775520. Its totient is φ = 37610496.

The previous prime is 121323017. The next prime is 121323029. The reversal of 121323020 is 20323121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 121322986 and 121323004.

It is not an unprimeable number, because it can be changed into a prime (121323029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1133807 + ... + 1133913.

It is an arithmetic number, because the mean of its divisors is an integer number (2262330).

Almost surely, 2121323020 is an apocalyptic number.

121323020 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 121323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162887760).

121323020 is an abundant number, since it is smaller than the sum of its proper divisors (204452500).

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

121323020 is a wasteful number, since it uses less digits than its factorization.

121323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 121323020 is about 11014.6729411272. The cubic root of 121323020 is about 495.0484869009.

Adding to 121323020 its reverse (20323121), we get a palindrome (141646141).

The spelling of 121323020 in words is "one hundred twenty-one million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 89 91 98 107 130 140 178 182 196 214 245 260 356 364 428 445 455 490 535 623 637 749 890 910 980 1070 1157 1246 1274 1391 1498 1780 1820 2140 2314 2492 2548 2782 2996 3115 3185 3745 4361 4628 5243 5564 5785 6230 6370 6955 7490 8099 8722 9523 9737 10486 11570 12460 12740 13910 14980 16198 17444 19046 19474 20972 21805 23140 26215 27820 32396 38092 38948 40495 43610 47615 48685 52430 56693 66661 68159 80990 87220 95230 97370 104860 113386 123799 133322 136318 161980 190460 194740 226772 247598 266644 272636 283465 333305 340795 466627 495196 566930 618995 666610 681590 866593 933254 1133860 1237990 1333220 1363180 1733186 1866508 2333135 2475980 3466372 4332965 4666270 6066151 8665930 9332540 12132302 17331860 24264604 30330755 60661510 121323020