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11131311312 = 2432117739091
BaseRepresentation
bin10100101110111101…
…00101010011010000
31001201202112012111100
422113132211103100
5140244103430222
65040314344400
7542562404442
oct122736452320
931652465440
1011131311312
1147a2375a40
1221a7a2b100
1310851b1c54
147784d2492
1545237b4ac
hex2977a54d0

11131311312 has 120 divisors (see below), whose sum is σ = 34031937888. Its totient is φ = 3368390400.

The previous prime is 11131311307. The next prime is 11131311349. The reversal of 11131311312 is 21311313111.

11131311312 is a `hidden beast` number, since 1 + 11 + 31 + 311 + 312 = 666.

11131311312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111313113122 (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1219887 + ... + 1228977.

Almost surely, 211131311312 is an apocalyptic number.

11131311312 is a gapful number since it is divisible by the number (12) 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 11131311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17015968944).

11131311312 is an abundant number, since it is smaller than the sum of its proper divisors (22900626576).

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

11131311312 is a wasteful number, since it uses less digits than its factorization.

11131311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9889 (or 9880 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

Adding to 11131311312 its reverse (21311313111), we get a palindrome (32442624423).

The spelling of 11131311312 in words is "eleven billion, one hundred thirty-one million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 773 792 1546 1584 2319 3092 4638 6184 6957 8503 9091 9276 12368 13914 17006 18182 18552 25509 27273 27828 34012 36364 37104 51018 54546 55656 68024 72728 76527 81819 100001 102036 109092 111312 136048 145456 153054 163638 200002 204072 218184 300003 306108 327276 400004 408144 436368 600006 612216 654552 800008 900009 1200012 1224432 1309104 1600016 1800018 2400024 3600036 4800048 7027343 7200072 14054686 14400144 21082029 28109372 42164058 56218744 63246087 77300773 84328116 112437488 126492174 154601546 168656232 231902319 252984348 309203092 337312464 463804638 505968696 618406184 695706957 927609276 1011937392 1236812368 1391413914 1855218552 2782827828 3710437104 5565655656 11131311312