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11310423040 = 21057245083
BaseRepresentation
bin10101000100010011…
…10101110000000000
31002012020120000121001
422202021311300000
5141130432014130
65110153341344
7550166003200
oct124211656000
932166500531
1011310423040
114884491264
122237a07854
1310b3334717
147941d8400
15462e5b6ca
hex2a2275c00

11310423040 has 132 divisors (see below), whose sum is σ = 31562136216. Its totient is φ = 3877773312.

The previous prime is 11310423011. The next prime is 11310423049. The reversal of 11310423040 is 4032401311.

It is a junction number, because it is equal to n+sod(n) for n = 11310422999 and 11310423017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310423049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228339 + ... + 273421.

Almost surely, 211310423040 is an apocalyptic number.

11310423040 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 11310423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15781068108).

11310423040 is an abundant number, since it is smaller than the sum of its proper divisors (20251713176).

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

11310423040 is an equidigital number, since it uses as much as digits as its factorization.

11310423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45122 (or 45097 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 11310423040 its reverse (4032401311), we get a palindrome (15342824351).

The spelling of 11310423040 in words is "eleven billion, three hundred ten million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1024 1120 1280 1568 1792 1960 2240 2560 3136 3584 3920 4480 5120 6272 7168 7840 8960 12544 15680 17920 25088 31360 35840 45083 50176 62720 90166 125440 180332 225415 250880 315581 360664 450830 631162 721328 901660 1262324 1442656 1577905 1803320 2209067 2524648 2885312 3155810 3606640 4418134 5049296 5770624 6311620 7213280 8836268 10098592 11045335 11541248 12623240 14426560 17672536 20197184 22090670 23082496 25246480 28853120 35345072 40394368 44181340 46164992 50492960 57706240 70690144 80788736 88362680 100985920 115412480 141380288 161577472 176725360 201971840 230824960 282760576 323154944 353450720 403943680 565521152 706901440 807887360 1131042304 1413802880 1615774720 2262084608 2827605760 5655211520 11310423040