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101101101110000 = 245470127315281
BaseRepresentation
bin10110111111001101101111…
…001101111101001011110000
3111020222011121120022110222022
4112333031233031331023300
5101222420023341010000
6555005112112531012
730203212351145105
oct2677155715751360
9436864546273868
10101101101110000
112a239810970432
12b40a0a2250a68
134454a400a01a4
141ad7468626aac
15ba4d11c75585
hex5bf36f37d2f0

101101101110000 has 200 divisors, whose sum is σ = 245261246815728. Its totient is φ = 40360320000000.

The previous prime is 101101101109997. The next prime is 101101101110033. The reversal of 101101101110000 is 11101101101.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 101101101110000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19144307360 + ... + 19144312640.

Almost surely, 2101101101110000 is an apocalyptic number.

101101101110000 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 101101101110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122630623407864).

101101101110000 is an abundant number, since it is smaller than the sum of its proper divisors (144160145705728).

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

101101101110000 is an equidigital number, since it uses as much as digits as its factorization.

101101101110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8741 (or 8720 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101101101110000 its reverse (11101101101), we get a palindrome (101112202211101).

The spelling of 101101101110000 in words is "one hundred one trillion, one hundred one billion, one hundred one million, one hundred ten thousand".