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11131313112 = 2333109347149
BaseRepresentation
bin10100101110111101…
…00101101111011000
31001201202112021222000
422113132211233120
5140244104004422
65040314401000
7542562412623
oct122736455730
931652467860
1011131313112
1147a2377327
1221a7a30160
1310851b2a0a
147784d2dba
1545237bcac
hex2977a5bd8

11131313112 has 64 divisors (see below), whose sum is σ = 30949260000. Its totient is φ = 3706964352.

The previous prime is 11131313101. The next prime is 11131313117. The reversal of 11131313112 is 21131313111.

It is a super-2 number, since 2×111313131122 (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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131313117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212514 + ... + 259662.

Almost surely, 211131313112 is an apocalyptic number.

11131313112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11131313112 is an abundant number, since it is smaller than the sum of its proper divisors (19817946888).

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

11131313112 is a wasteful number, since it uses less digits than its factorization.

11131313112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48257 (or 48247 counting only the distinct ones).

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

Adding to 11131313112 its reverse (21131313111), we get a palindrome (32262626223).

Subtracting 11131313112 from its reverse (21131313111), we obtain a palindrome (9999999999).

The spelling of 11131313112 in words is "eleven billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1093 2186 3279 4372 6558 8744 9837 13116 19674 26232 29511 39348 47149 59022 78696 94298 118044 141447 188596 236088 282894 377192 424341 565788 848682 1131576 1273023 1697364 2546046 3394728 5092092 10184184 51533857 103067714 154601571 206135428 309203142 412270856 463804713 618406284 927609426 1236812568 1391414139 1855218852 2782828278 3710437704 5565656556 11131313112