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1125424300 = 22527111311243
BaseRepresentation
bin100001100010100…
…1001110010101100
32220102200110220111
41003011021302230
54301102034200
6303401425404
736613643260
oct10305116254
92812613814
101125424300
115282aaa30
12274a9b264
1314c213050
14a967a0a0
1568c090ba
hex43149cac

1125424300 has 144 divisors (see below), whose sum is σ = 3279290112. Its totient is φ = 323769600.

The previous prime is 1125424273. The next prime is 1125424303. The reversal of 1125424300 is 34245211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1125424303) by changing a digit.

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, 94479 + ... + 105721.

It is an arithmetic number, because the mean of its divisors is an integer number (22772848).

Almost surely, 21125424300 is an apocalyptic number.

1125424300 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 1125424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639645056).

1125424300 is an abundant number, since it is smaller than the sum of its proper divisors (2153865812).

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

1125424300 is a wasteful number, since it uses less digits than its factorization.

1125424300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11288 (or 11281 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1125424300 is about 33547.3441571758. The cubic root of 1125424300 is about 1040.1726476197.

Adding to 1125424300 its reverse (34245211), we get a palindrome (1159669511).

Subtracting from 1125424300 its reverse (34245211), we obtain a square (1091179089 = 330332).

The spelling of 1125424300 in words is "one billion, one hundred twenty-five million, four hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 11243 14300 20020 22486 25025 44972 50050 56215 78701 100100 112430 123673 146159 157402 224860 247346 281075 292318 314804 393505 494692 562150 584636 618365 730795 787010 865711 1023113 1124300 1236730 1461590 1574020 1607749 1731422 1967525 2046226 2473460 2923180 3091825 3215498 3462844 3653975 3935050 4092452 4328555 5115565 6183650 6430996 7307950 7870100 8038745 8657110 10231130 11254243 12367300 14615900 16077490 17314220 20462260 21642775 22508486 25577825 32154980 40193725 43285550 45016972 51155650 56271215 80387450 86571100 102311300 112542430 160774900 225084860 281356075 562712150 1125424300