Base | Representation |
---|---|
bin | 1010000110001010110100… |
… | …0111111011110000011000 |
3 | 1110022020212202012101102000 |
4 | 2201202231013323300120 |
5 | 2423340023101443000 |
6 | 35335435220041000 |
7 | 2224012415234310 |
oct | 241425507736030 |
9 | 43266782171360 |
10 | 11101100031000 |
11 | 359aa4a620641 |
12 | 12b3573b33160 |
13 | 626aa1ac55c5 |
14 | 2a5420742440 |
15 | 143b72284000 |
hex | a18ad1fbc18 |
11101100031000 has 2048 divisors, whose sum is σ = 46937899008000. Its totient is φ = 2373670656000.
The previous prime is 11101100030987. The next prime is 11101100031013. The reversal of 11101100031000 is 13000110111.
It is an interprime number because it is at equal distance from previous prime (11101100030987) and next prime (11101100031013).
It is a super-2 number, since 2×111011000310002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 35019242842 + ... + 35019243158.
It is an arithmetic number, because the mean of its divisors is an integer number (22918896000).
Almost surely, 211101100031000 is an apocalyptic number.
11101100031000 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 11101100031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23468949504000).
11101100031000 is an abundant number, since it is smaller than the sum of its proper divisors (35836798977000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11101100031000 is a wasteful number, since it uses less digits than its factorization.
11101100031000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 567 (or 547 counting only the distinct ones).
The product of its (nonzero) digits is 3, while the sum is 9.
Adding to 11101100031000 its reverse (13000110111), we get a palindrome (11114100141111).
The spelling of 11101100031000 in words is "eleven trillion, one hundred one billion, one hundred million, thirty-one thousand".
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