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1361041110 = 2335111335251
BaseRepresentation
bin101000100011111…
…1101011011010110
310111212001001102000
41101013331123112
510241411303420
6343015500130
745504441612
oct12107753326
93455031360
101361041110
116392aa370
1231b987646
13188c8aa90
14cca90342
157e74b690
hex511fd6d6

1361041110 has 128 divisors (see below), whose sum is σ = 4264081920. Its totient is φ = 304560000.

The previous prime is 1361041091. The next prime is 1361041141. The reversal of 1361041110 is 111401631.

1361041110 is a `hidden beast` number, since 1 + 3 + 610 + 41 + 1 + 10 = 666.

It is a super-2 number, since 2×13610411102 = 3704865806220064200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20985 + ... + 56235.

It is an arithmetic number, because the mean of its divisors is an integer number (33313140).

Almost surely, 21361041110 is an apocalyptic number.

1361041110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361041110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132040960).

1361041110 is an abundant number, since it is smaller than the sum of its proper divisors (2903040810).

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

1361041110 is a wasteful number, since it uses less digits than its factorization.

1361041110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35291 (or 35285 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1361041110 is about 36892.2906580765. The cubic root of 1361041110 is about 1108.2142946129.

Adding to 1361041110 its reverse (111401631), we get a palindrome (1472442741).

The spelling of 1361041110 in words is "one billion, three hundred sixty-one million, forty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 27 30 33 39 45 54 55 65 66 78 90 99 110 117 130 135 143 165 195 198 234 270 286 297 330 351 390 429 495 585 594 702 715 858 990 1170 1287 1430 1485 1755 2145 2574 2970 3510 3861 4290 6435 7722 12870 19305 35251 38610 70502 105753 176255 211506 317259 352510 387761 458263 528765 634518 775522 916526 951777 1057530 1163283 1374789 1586295 1903554 1938805 2291315 2326566 2749578 3172590 3489849 3877610 4124367 4582630 4758885 5040893 5816415 6873945 6979698 8248734 9517770 10081786 10469547 11632830 12373101 13747890 15122679 17449245 20621835 20939094 24746202 25204465 30245358 34898490 41243670 45368037 50408930 52347735 61865505 75613395 90736074 104695470 123731010 136104111 151226790 226840185 272208222 453680370 680520555 1361041110