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1131303041300 = 2252291136934313
BaseRepresentation
bin10000011101100110111…
…010100111100100010100
311000011002110021000201202
4100131212322213210110
5122013402034310200
62223414034212032
7144506513121425
oct20354672474424
94004073230652
101131303041300
113a686808a263
12163307124018
13828b2101713
143ca809c564c
151e663bbb1d5
hex10766ea7914

1131303041300 has 72 divisors (see below), whose sum is σ = 2539877671800. Its totient is φ = 436865873920.

The previous prime is 1131303041261. The next prime is 1131303041371. The reversal of 1131303041300 is 31403031311.

It can be written as a sum of positive squares in 12 ways, for example, as 346445251216 + 784857790084 = 588596^2 + 885922^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 32952944 + ... + 32987256.

It is an arithmetic number, because the mean of its divisors is an integer number (35276078775).

Almost surely, 21131303041300 is an apocalyptic number.

1131303041300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131303041300 is an abundant number, since it is smaller than the sum of its proper divisors (1408574630500).

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

1131303041300 is a wasteful number, since it uses less digits than its factorization.

1131303041300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45725 (or 45718 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1131303041300 its reverse (31403031311), we get a palindrome (1162706072611).

The spelling of 1131303041300 in words is "one trillion, one hundred thirty-one billion, three hundred three million, forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 11369 22738 34313 45476 56845 68626 113690 137252 171565 227380 284225 329701 343130 568450 659402 686260 857825 995077 1136900 1318804 1648505 1715650 1990154 3297010 3431300 3980308 4975385 6594020 8242525 9950770 16485050 19901540 24876925 32970100 49753850 99507700 390104497 780208994 1560417988 1950522485 3901044970 7802089940 9752612425 11313030413 19505224850 22626060826 39010449700 45252121652 56565152065 113130304130 226260608260 282825760325 565651520650 1131303041300