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1020341100 = 2235219117807
BaseRepresentation
bin111100110100010…
…010101101101100
32122002221200212010
4330310102231230
54042201403400
6245125241220
734166520252
oct7464225554
92562850763
101020341100
11483a57409
12245863210
1313350c93c
14997245d2
155e89d450
hex3cd12b6c

1020341100 has 72 divisors (see below), whose sum is σ = 2967810048. Its totient is φ = 270651200.

The previous prime is 1020341093. The next prime is 1020341117. The reversal of 1020341100 is 11430201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48397 + ... + 66203.

It is an arithmetic number, because the mean of its divisors is an integer number (41219584).

Almost surely, 21020341100 is an apocalyptic number.

1020341100 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 1020341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483905024).

1020341100 is an abundant number, since it is smaller than the sum of its proper divisors (1947468948).

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

1020341100 is a wasteful number, since it uses less digits than its factorization.

1020341100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18015 (or 18008 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1020341100 is about 31942.7785266091. The cubic root of 1020341100 is about 1006.7349058800.

Adding to 1020341100 its reverse (11430201), we get a palindrome (1031771301).

The spelling of 1020341100 in words is "one billion, twenty million, three hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 191 300 382 573 764 955 1146 1910 2292 2865 3820 4775 5730 9550 11460 14325 17807 19100 28650 35614 53421 57300 71228 89035 106842 178070 213684 267105 356140 445175 534210 890350 1068420 1335525 1780700 2671050 3401137 5342100 6802274 10203411 13604548 17005685 20406822 34011370 40813644 51017055 68022740 85028425 102034110 170056850 204068220 255085275 340113700 510170550 1020341100