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1120120031000 = 23537097572087
BaseRepresentation
bin10000010011001100010…
…110110100011100011000
310222002020002110020120002
4100103030112310130120
5121323001211443000
62214324231352132
7143632422112025
oct20231426643430
93862202406502
101120120031000
113a2049613093
12161105b22648
138181c2bac69
143c2dd6b654c
151e20c02b8d5
hex104cc5b4718

1120120031000 has 128 divisors (see below), whose sum is σ = 2629504425600. Its totient is φ = 446610931200.

The previous prime is 1120120030921. The next prime is 1120120031039. The reversal of 1120120031000 is 1300210211.

It is a super-2 number, since 2×11201200310002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536711957 + ... + 536714043.

It is an arithmetic number, because the mean of its divisors is an integer number (20543003325).

Almost surely, 21120120031000 is an apocalyptic number.

1120120031000 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 1120120031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314752212800).

1120120031000 is an abundant number, since it is smaller than the sum of its proper divisors (1509384394600).

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

1120120031000 is a wasteful number, since it uses less digits than its factorization.

1120120031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1120120031000 its reverse (1300210211), we get a palindrome (1121420241211).

The spelling of 1120120031000 in words is "one trillion, one hundred twenty billion, one hundred twenty million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 709 757 1000 1418 1514 2087 2836 3028 3545 3785 4174 5672 6056 7090 7570 8348 10435 14180 15140 16696 17725 18925 20870 28360 30280 35450 37850 41740 52175 70900 75700 83480 88625 94625 104350 141800 151400 177250 189250 208700 260875 354500 378500 417400 521750 536713 709000 757000 1043500 1073426 1479683 1579859 2087000 2146852 2683565 2959366 3159718 4293704 5367130 5918732 6319436 7398415 7899295 10734260 11837464 12638872 13417825 14796830 15798590 21468520 26835650 29593660 31597180 36992075 39496475 53671300 59187320 63194360 67089125 73984150 78992950 107342600 134178250 147968300 157985900 184960375 197482375 268356500 295936600 315971800 369920750 394964750 536713000 739841500 789929500 1120120031 1479683000 1579859000 2240240062 4480480124 5600600155 8960960248 11201200310 22402400620 28003000775 44804801240 56006001550 112012003100 140015003875 224024006200 280030007750 560060015500 1120120031000