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11101101000000 = 2635611336397
BaseRepresentation
bin1010000110001010110100…
…1011101000010101000000
31110022020212211000121121220
42201202231023220111000
52423340023324000000
635335435252515040
72224012426411344
oct241425513502500
943266784017556
1011101101000000
11359aa50122670
1212b357431ba80
13626aa207468b
142a5420915624
15143b723c61a0
hexa18ad2e8540

11101101000000 has 392 divisors, whose sum is σ = 40051874204448. Its totient is φ = 2691168000000.

The previous prime is 11101100999999. The next prime is 11101101000001. The reversal of 11101101000000 is 10110111.

It is an interprime number because it is at equal distance from previous prime (11101100999999) and next prime (11101101000001).

It is a Harshad number since it is a multiple of its sum of digits (6).

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 not an unprimeable number, because it can be changed into a prime (11101101000001) 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 55 ways as a sum of consecutive naturals, for example, 32831802 + ... + 33168198.

Almost surely, 211101101000000 is an apocalyptic number.

11101101000000 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 11101101000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20025937102224).

11101101000000 is an abundant number, since it is smaller than the sum of its proper divisors (28950773204448).

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

11101101000000 is an frugal number, since it uses more digits than its factorization.

11101101000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336453 (or 336418 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11101101000000 its reverse (10110111), we get a palindrome (11101111110111).

The spelling of 11101101000000 in words is "eleven trillion, one hundred one billion, one hundred one million", and thus it is an aban number.