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1122430000 = 24541071049
BaseRepresentation
bin100001011100110…
…1110110000110000
32220020001100111111
41002321232300300
54244320230000
6303213323104
736546332446
oct10271566060
92806040444
101122430000
115266452aa
12273a96494
1314b705183
14a90dab96
1568816cba
hex42e6ec30

1122430000 has 100 divisors (see below), whose sum is σ = 2745527400. Its totient is φ = 444352000.

The previous prime is 1122429943. The next prime is 1122430009. The reversal of 1122430000 is 342211.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (1122430009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1069476 + ... + 1070524.

It is an arithmetic number, because the mean of its divisors is an integer number (27455274).

Almost surely, 21122430000 is an apocalyptic number.

1122430000 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 1122430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372763700).

1122430000 is an abundant number, since it is smaller than the sum of its proper divisors (1623097400).

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

1122430000 is a wasteful number, since it uses less digits than its factorization.

1122430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1163 counting only the distinct ones).

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

The square root of 1122430000 is about 33502.6864594468. The cubic root of 1122430000 is about 1039.2493350313.

Adding to 1122430000 its reverse (342211), we get a palindrome (1122772211).

The spelling of 1122430000 in words is "one billion, one hundred twenty-two million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 125 200 214 250 400 428 500 535 625 856 1000 1049 1070 1250 1712 2000 2098 2140 2500 2675 4196 4280 5000 5245 5350 8392 8560 10000 10490 10700 13375 16784 20980 21400 26225 26750 41960 42800 52450 53500 66875 83920 104900 107000 112243 131125 133750 209800 214000 224486 262250 267500 419600 448972 524500 535000 561215 655625 897944 1049000 1070000 1122430 1311250 1795888 2098000 2244860 2622500 2806075 4489720 5245000 5612150 8979440 10490000 11224300 14030375 22448600 28060750 44897200 56121500 70151875 112243000 140303750 224486000 280607500 561215000 1122430000