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121303020 = 223537101541
BaseRepresentation
bin1110011101011…
…10111111101100
322110020211110110
413032232333230
5222023144040
620011540020
73002026056
oct716567754
9273224413
10121303020
1162521833
123475a610
131c192047
14121788d6
15a9b1980
hex73aefec

121303020 has 96 divisors (see below), whose sum is σ = 352933056. Its totient is φ = 31104000.

The previous prime is 121303001. The next prime is 121303033. The reversal of 121303020 is 20303121.

It is a happy number.

It is a super-2 number, since 2×1213030202 = 29428845322240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121302987 and 121303005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223950 + ... + 224490.

It is an arithmetic number, because the mean of its divisors is an integer number (3676386).

Almost surely, 2121303020 is an apocalyptic number.

121303020 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 121303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176466528).

121303020 is an abundant number, since it is smaller than the sum of its proper divisors (231630036).

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

121303020 is a wasteful number, since it uses less digits than its factorization.

121303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 121303020 is about 11013.7650238236. The cubic root of 121303020 is about 495.0212826274.

Adding to 121303020 its reverse (20303121), we get a palindrome (141606141).

The spelling of 121303020 in words is "one hundred twenty-one million, three hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 101 111 148 185 202 222 303 370 404 444 505 541 555 606 740 1010 1082 1110 1212 1515 1623 2020 2164 2220 2705 3030 3246 3737 5410 6060 6492 7474 8115 10820 11211 14948 16230 18685 20017 22422 32460 37370 40034 44844 54641 56055 60051 74740 80068 100085 109282 112110 120102 163923 200170 218564 224220 240204 273205 300255 327846 400340 546410 600510 655692 819615 1092820 1201020 1639230 2021717 3278460 4043434 6065151 8086868 10108585 12130302 20217170 24260604 30325755 40434340 60651510 121303020