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11130365340 = 22325593532969
BaseRepresentation
bin10100101110110101…
…11110010110011100
31001201200202010212100
422113122332112130
5140243333142330
65040242205100
7542551354503
oct122732762634
931650663770
1011130365340
1147a188a246
1221a7653790
131084c404c3
1477832783a
15452241060
hex2976be59c

11130365340 has 144 divisors (see below), whose sum is σ = 34443208800. Its totient is φ = 2908545024.

The previous prime is 11130365293. The next prime is 11130365347. The reversal of 11130365340 is 4356303111.

11130365340 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 0 + 3 + 653 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11130365347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3747376 + ... + 3750344.

It is an arithmetic number, because the mean of its divisors is an integer number (239188950).

Almost surely, 211130365340 is an apocalyptic number.

11130365340 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 11130365340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17221604400).

11130365340 is an abundant number, since it is smaller than the sum of its proper divisors (23312843460).

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

11130365340 is a wasteful number, since it uses less digits than its factorization.

11130365340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 11130365340 its reverse (4356303111), we get a palindrome (15486668451).

The spelling of 11130365340 in words is "eleven billion, one hundred thirty million, three hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 353 354 531 590 706 708 885 1059 1062 1180 1412 1765 1770 2118 2124 2655 2969 3177 3530 3540 4236 5295 5310 5938 6354 7060 8907 10590 10620 11876 12708 14845 15885 17814 20827 21180 26721 29690 31770 35628 41654 44535 53442 59380 62481 63540 83308 89070 104135 106884 124962 133605 175171 178140 187443 208270 249924 267210 312405 350342 374886 416540 525513 534420 624810 700684 749772 875855 937215 1048057 1051026 1249620 1576539 1751710 1874430 2096114 2102052 2627565 3144171 3153078 3503420 3748860 4192228 5240285 5255130 6288342 6306156 7882695 9432513 10480570 10510260 12576684 15720855 15765390 18865026 20961140 31441710 31530780 37730052 47162565 61835363 62883420 94325130 123670726 185506089 188650260 247341452 309176815 371012178 556518267 618353630 742024356 927530445 1113036534 1236707260 1855060890 2226073068 2782591335 3710121780 5565182670 11130365340