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1121121300 = 22352131571831
BaseRepresentation
bin100001011010010…
…1111010000010100
32220010120212022010
41002310233100110
54244001340200
6303125304220
736532242135
oct10264572024
92803525263
101121121300
11525931032
12273565070
1314b3675b0
14a8c79c8c
1568659150
hex42d2f414

1121121300 has 144 divisors (see below), whose sum is σ = 3517469312. Its totient is φ = 274060800.

The previous prime is 1121121299. The next prime is 1121121377. The reversal of 1121121300 is 31211211.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611385 + ... + 613215.

Almost surely, 21121121300 is an apocalyptic number.

1121121300 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 1121121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758734656).

1121121300 is an abundant number, since it is smaller than the sum of its proper divisors (2396348012).

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

1121121300 is a wasteful number, since it uses less digits than its factorization.

1121121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2011 counting only the distinct ones).

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

The square root of 1121121300 is about 33483.1494934392. The cubic root of 1121121300 is about 1038.8452728513.

Adding to 1121121300 its reverse (31211211), we get a palindrome (1152332511).

The spelling of 1121121300 in words is "one billion, one hundred twenty-one million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 157 195 260 300 314 325 390 471 628 650 780 785 942 975 1300 1570 1831 1884 1950 2041 2355 3140 3662 3900 3925 4082 4710 5493 6123 7324 7850 8164 9155 9420 10205 10986 11775 12246 15700 18310 20410 21972 23550 23803 24492 27465 30615 36620 40820 45775 47100 47606 51025 54930 61230 71409 91550 95212 102050 109860 119015 122460 137325 142818 153075 183100 204100 238030 274650 285636 287467 306150 357045 476060 549300 574934 595075 612300 714090 862401 1149868 1190150 1428180 1437335 1724802 1785225 2380300 2874670 3449604 3570450 3737071 4312005 5749340 7140900 7186675 7474142 8624010 11211213 14373350 14948284 17248020 18685355 21560025 22422426 28746700 37370710 43120050 44844852 56056065 74741420 86240100 93426775 112112130 186853550 224224260 280280325 373707100 560560650 1121121300