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121133320 = 23571167587
BaseRepresentation
bin1110011100001…
…01100100001000
322102221012200021
413032011210020
5222002231240
620004150224
73000421240
oct716054410
9272835607
10121133320
1162416290
1234698374
131c132a29
1412132b20
15a97b54a
hex7385908

121133320 has 128 divisors (see below), whose sum is σ = 345461760. Its totient is φ = 37128960.

The previous prime is 121133317. The next prime is 121133321. The reversal of 121133320 is 23331121.

It is a junction number, because it is equal to n+sod(n) for n = 121133294 and 121133303.

It is not an unprimeable number, because it can be changed into a prime (121133321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206067 + ... + 206653.

It is an arithmetic number, because the mean of its divisors is an integer number (2698920).

Almost surely, 2121133320 is an apocalyptic number.

121133320 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 121133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880).

121133320 is an abundant number, since it is smaller than the sum of its proper divisors (224328440).

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

121133320 is a wasteful number, since it uses less digits than its factorization.

121133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 121133320 is about 11006.0583316644. The cubic root of 121133320 is about 494.7903339507.

Adding to 121133320 its reverse (23331121), we get a palindrome (144464441).

The spelling of 121133320 in words is "one hundred twenty-one million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 67 70 77 88 110 134 140 154 220 268 280 308 335 385 440 469 536 587 616 670 737 770 938 1174 1340 1474 1540 1876 2345 2348 2680 2935 2948 3080 3685 3752 4109 4690 4696 5159 5870 5896 6457 7370 8218 9380 10318 11740 12914 14740 16436 18760 20545 20636 23480 25795 25828 29480 32285 32872 39329 41090 41272 45199 51590 51656 64570 78658 82180 90398 103180 129140 157316 164360 180796 196645 206360 225995 258280 275303 314632 361592 393290 432619 451990 550606 786580 865238 903980 1101212 1376515 1573160 1730476 1807960 2163095 2202424 2753030 3028333 3460952 4326190 5506060 6056666 8652380 11012120 12113332 15141665 17304760 24226664 30283330 60566660 121133320