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11431100112 = 2431947266683
BaseRepresentation
bin10101010010101100…
…01011111011010000
31002111122122001102020
422221112023323100
5141402330200422
65130144051440
7553162514325
oct125126137320
932448561366
1011431100112
114936615783
122270303b80
131102337883
147a624cb4c
1546d84795c
hex2a958bed0

11431100112 has 80 divisors (see below), whose sum is σ = 31746063360. Its totient is φ = 3533003136.

The previous prime is 11431100111. The next prime is 11431100123. The reversal of 11431100112 is 21100113411.

11431100112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11431100091 and 11431100100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11431100111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 90478 + ... + 176205.

It is an arithmetic number, because the mean of its divisors is an integer number (396825792).

Almost surely, 211431100112 is an apocalyptic number.

11431100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11431100112 is an abundant number, since it is smaller than the sum of its proper divisors (20314963248).

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

11431100112 is a wasteful number, since it uses less digits than its factorization.

11431100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266760 (or 266754 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11431100112 its reverse (21100113411), we get a palindrome (32531213523).

The spelling of 11431100112 in words is "eleven billion, four hundred thirty-one million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 47 48 57 76 94 114 141 152 188 228 282 304 376 456 564 752 893 912 1128 1786 2256 2679 3572 5358 7144 10716 14288 21432 42864 266683 533366 800049 1066732 1600098 2133464 3200196 4266928 5066977 6400392 10133954 12534101 12800784 15200931 20267908 25068202 30401862 37602303 40535816 50136404 60803724 75204606 81071632 100272808 121607448 150409212 200545616 238147919 243214896 300818424 476295838 601636848 714443757 952591676 1428887514 1905183352 2857775028 3810366704 5715550056 11431100112