Search a number
-
+
121022320 = 24517235373
BaseRepresentation
bin1110011011010…
…10011101110000
322102201120102011
413031222131300
5221440203240
620001532304
72666446516
oct715523560
9272646364
10121022320
116234a951
1234644094
131c0c4353
14121044b6
15a9586ea
hex736a770

121022320 has 160 divisors (see below), whose sum is σ = 321086592. Its totient is φ = 42172416.

The previous prime is 121022311. The next prime is 121022327. The reversal of 121022320 is 23220121.

It is a self number, because there is not a number n which added to its sum of digits gives 121022320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121022327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1657804 + ... + 1657876.

Almost surely, 2121022320 is an apocalyptic number.

121022320 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 121022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160543296).

121022320 is an abundant number, since it is smaller than the sum of its proper divisors (200064272).

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

121022320 is a wasteful number, since it uses less digits than its factorization.

121022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 121022320 is about 11001.0144986724. The cubic root of 121022320 is about 494.6391547613.

Adding to 121022320 its reverse (23220121), we get a palindrome (144242441).

The spelling of 121022320 in words is "one hundred twenty-one million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 53 68 73 80 85 92 106 115 136 146 170 184 212 230 265 272 292 340 365 368 391 424 460 530 584 680 730 782 848 901 920 1060 1168 1219 1241 1360 1460 1564 1679 1802 1840 1955 2120 2438 2482 2920 3128 3358 3604 3869 3910 4240 4505 4876 4964 5840 6095 6205 6256 6716 7208 7738 7820 8395 9010 9752 9928 12190 12410 13432 14416 15476 15640 16790 18020 19345 19504 19856 20723 24380 24820 26864 28543 30952 31280 33580 36040 38690 41446 48760 49640 57086 61904 65773 67160 72080 77380 82892 88987 97520 99280 103615 114172 131546 134320 142715 154760 165784 177974 207230 228344 263092 285430 309520 328865 331568 355948 414460 444935 456688 526184 570860 657730 711896 828920 889870 1052368 1141720 1315460 1423792 1512779 1657840 1779740 2283440 2630920 3025558 3559480 5261840 6051116 7118960 7563895 12102232 15127790 24204464 30255580 60511160 121022320