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1125142020 = 22325101199311
BaseRepresentation
bin100001100010000…
…0100111000000100
32220102011010200200
41003010010320010
54301014021040
6303351410500
736611356302
oct10304047004
92812133620
101125142020
11528127942
12274983a30
1314c144712
14a9605272
1568ba0630
hex43104e04

1125142020 has 144 divisors (see below), whose sum is σ = 3475180800. Its totient is φ = 294624000.

The previous prime is 1125142013. The next prime is 1125142079. The reversal of 1125142020 is 202415211.

1125142020 is a `hidden beast` number, since 112 + 514 + 20 + 20 = 666.

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 = 1125141984 and 1125142002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3617665 + ... + 3617975.

It is an arithmetic number, because the mean of its divisors is an integer number (24133200).

Almost surely, 21125142020 is an apocalyptic number.

1125142020 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 1125142020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737590400).

1125142020 is an abundant number, since it is smaller than the sum of its proper divisors (2350038780).

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

1125142020 is a wasteful number, since it uses less digits than its factorization.

1125142020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1125142020 is about 33543.1367048462. The cubic root of 1125142020 is about 1040.0856746481.

Adding to 1125142020 its reverse (202415211), we get a palindrome (1327557231).

The spelling of 1125142020 in words is "one billion, one hundred twenty-five million, one hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 199 202 303 311 398 404 505 597 606 622 796 909 933 995 1010 1194 1212 1244 1515 1555 1791 1818 1866 1990 2020 2388 2799 2985 3030 3110 3582 3636 3732 3980 4545 4665 5598 5970 6060 6220 7164 8955 9090 9330 11196 11940 13995 17910 18180 18660 20099 27990 31411 35820 40198 55980 60297 61889 62822 80396 94233 100495 120594 123778 125644 157055 180891 185667 188466 200990 241188 247556 282699 301485 309445 314110 361782 371334 376932 401980 471165 557001 565398 602970 618890 628220 723564 742668 904455 928335 942330 1114002 1130796 1205940 1237780 1413495 1808910 1856670 1884660 2228004 2785005 2826990 3617820 3713340 5570010 5653980 6250789 11140020 12501578 18752367 25003156 31253945 37504734 56257101 62507890 75009468 93761835 112514202 125015780 187523670 225028404 281285505 375047340 562571010 1125142020