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1020031421100 = 2235217434945989
BaseRepresentation
bin11101101011111101001…
…11000100101010101100
310121111212202002001101020
432311332213010222230
5113203011020433400
62100332421214140
7133460221010436
oct16657647045254
93544782061336
101020031421100
1136365816606a
12145832561350
137525b325233
143752698b656
151b80013c2a0
hexed7e9c4aac

1020031421100 has 144 divisors (see below), whose sum is σ = 3125682756000. Its totient is φ = 255943454720.

The previous prime is 1020031421089. The next prime is 1020031421141. The reversal of 1020031421100 is 11241300201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1020031421100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22156906 + ... + 22202894.

It is an arithmetic number, because the mean of its divisors is an integer number (21706130250).

Almost surely, 21020031421100 is an apocalyptic number.

1020031421100 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 1020031421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562841378000).

1020031421100 is an abundant number, since it is smaller than the sum of its proper divisors (2105651334900).

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

1020031421100 is a wasteful number, since it uses less digits than its factorization.

1020031421100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50372 (or 50365 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1020031421100 its reverse (11241300201), we get a palindrome (1031272721301).

The spelling of 1020031421100 in words is "one trillion, twenty billion, thirty-one million, four hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 4349 5100 8698 13047 17396 21745 26094 43490 45989 52188 65235 73933 86980 91978 108725 130470 137967 147866 183956 217450 221799 229945 260940 275934 295732 326175 369665 434900 443598 459890 551868 652350 689835 739330 781813 887196 919780 1108995 1149725 1304700 1379670 1478660 1563626 1848325 2217990 2299450 2345439 2759340 3127252 3449175 3696650 3909065 4435980 4598900 4690878 5544975 6898350 7393300 7818130 9381756 11089950 11727195 13796700 15636260 19545325 22179900 23454390 39090650 46908780 58635975 78181300 117271950 200006161 234543900 400012322 600018483 800024644 1000030805 1200036966 2000061610 2400073932 3000092415 3400104737 4000123220 5000154025 6000184830 6800209474 10000308050 10200314211 12000369660 13600418948 15000462075 17000523685 20000616100 20400628422 30000924150 34001047370 40801256844 51001571055 60001848300 68002094740 85002618425 102003142110 170005236850 204006284220 255007855275 340010473700 510015710550 1020031421100