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11131310430 = 23253113928703
BaseRepresentation
bin10100101110111101…
…00101000101011110
31001201202112011021200
422113132211011132
5140244103413210
65040314340330
7542562402042
oct122736450536
931652464250
1011131310430
1147a2375309
1221a7a2a6a6
1310851b1726
147784d2022
1545237b0c0
hex2977a515e

11131310430 has 96 divisors (see below), whose sum is σ = 30090977280. Its totient is φ = 2851830720.

The previous prime is 11131310429. The next prime is 11131310431. The reversal of 11131310430 is 3401313111.

It is an interprime number because it is at equal distance from previous prime (11131310429) and next prime (11131310431).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131310431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373459 + ... + 402161.

It is an arithmetic number, because the mean of its divisors is an integer number (313447680).

Almost surely, 211131310430 is an apocalyptic number.

11131310430 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 11131310430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15045488640).

11131310430 is an abundant number, since it is smaller than the sum of its proper divisors (18959666850).

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

11131310430 is a wasteful number, since it uses less digits than its factorization.

11131310430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28886 (or 28883 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11131310430 its reverse (3401313111), we get a palindrome (14532623541).

The spelling of 11131310430 in words is "eleven billion, one hundred thirty-one million, three hundred ten thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 139 155 186 278 279 310 417 465 558 695 834 930 1251 1390 1395 2085 2502 2790 4170 4309 6255 8618 12510 12927 21545 25854 28703 38781 43090 57406 64635 77562 86109 129270 143515 172218 193905 258327 287030 387810 430545 516654 861090 889793 1291635 1779586 2583270 2669379 3989717 4448965 5338758 7979434 8008137 8897930 11969151 13346895 16016274 19948585 23938302 26693790 35907453 39897170 40040685 59845755 71814906 80081370 119691510 123681227 179537265 247362454 359074530 371043681 618406135 742087362 1113131043 1236812270 1855218405 2226262086 3710436810 5565655215 11131310430