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121273020 = 2232511232663
BaseRepresentation
bin1110011101001…
…11101010111100
322110012022022100
413032213222330
5222021214040
620011145100
73001542441
oct716475274
9273168270
10121273020
1162501240
1234745190
131c1814ab
141216b9c8
15a9a7b30
hex73a7abc

121273020 has 144 divisors (see below), whose sum is σ = 418908672. Its totient is φ = 28110720.

The previous prime is 121273007. The next prime is 121273021. The reversal of 121273020 is 20372121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121272984 and 121273002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121273021) 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 47 ways as a sum of consecutive naturals, for example, 44209 + ... + 46871.

It is an arithmetic number, because the mean of its divisors is an integer number (2909088).

Almost surely, 2121273020 is an apocalyptic number.

121273020 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 121273020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209454336).

121273020 is an abundant number, since it is smaller than the sum of its proper divisors (297635652).

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

121273020 is a wasteful number, since it uses less digits than its factorization.

121273020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 121273020 is about 11012.4030075184. The cubic root of 121273020 is about 494.9804706100.

The spelling of 121273020 in words is "one hundred twenty-one million, two hundred seventy-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 276 330 345 396 414 460 495 506 660 690 759 828 990 1012 1035 1265 1380 1518 1980 2070 2277 2530 2663 3036 3795 4140 4554 5060 5326 7590 7989 9108 10652 11385 13315 15180 15978 22770 23967 26630 29293 31956 39945 45540 47934 53260 58586 61249 79890 87879 95868 117172 119835 122498 146465 159780 175758 183747 239670 244996 263637 292930 306245 351516 367494 439395 479340 527274 551241 585860 612490 673739 734988 878790 918735 1054548 1102482 1224980 1318185 1347478 1757580 1837470 2021217 2204964 2636370 2694956 2756205 3368695 3674940 4042434 5272740 5512410 6063651 6737390 8084868 10106085 11024820 12127302 13474780 20212170 24254604 30318255 40424340 60636510 121273020