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1101030441400 = 2352191201241253
BaseRepresentation
bin10000000001011010100…
…001110100000110111000
310220020221201000121121001
4100001122201310012320
5121014402243111100
62201450103254344
7142355363222611
oct20013241640670
93806851017531
101101030441400
11394a42a8695a
12159478a4a3b4
137ca99413306
143b40c29ac08
151d991196d6a
hex1005a8741b8

1101030441400 has 96 divisors (see below), whose sum is σ = 2696881964400. Its totient is φ = 416883456000.

The previous prime is 1101030441391. The next prime is 1101030441409. The reversal of 1101030441400 is 41440301011.

It is an interprime number because it is at equal distance from previous prime (1101030441391) and next prime (1101030441409).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101030441409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4443174 + ... + 4684426.

Almost surely, 21101030441400 is an apocalyptic number.

1101030441400 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 1101030441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348440982200).

1101030441400 is an abundant number, since it is smaller than the sum of its proper divisors (1595851523000).

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

1101030441400 is a wasteful number, since it uses less digits than its factorization.

1101030441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242489 (or 242480 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 1101030441400 its reverse (41440301011), we get a palindrome (1142470742411).

The spelling of 1101030441400 in words is "one trillion, one hundred one billion, thirty million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1201 1900 2402 3800 4804 6005 9608 12010 22819 24020 30025 45638 48040 60050 91276 114095 120100 182552 228190 240200 241253 456380 482506 570475 912760 965012 1140950 1206265 1930024 2281900 2412530 4563800 4583807 4825060 6031325 9167614 9650120 12062650 18335228 22919035 24125300 36670456 45838070 48250600 91676140 114595175 183352280 229190350 289744853 458380700 579489706 916761400 1158979412 1448724265 2317958824 2897448530 5505152207 5794897060 7243621325 11010304414 11589794120 14487242650 22020608828 27525761035 28974485300 44041217656 55051522070 57948970600 110103044140 137628805175 220206088280 275257610350 550515220700 1101030441400