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10110101140044 = 223341103108720393
BaseRepresentation
bin1001001100011111000011…
…1111001011001001001100
31022210111221022221200021000
42103013300333023021030
52311120441342440134
633300303310340300
72062300505525553
oct223076077131114
938714838850230
1010110101140044
113248740584144
1211734a44ba690
135844bc5a7ab9
1426d48d91cd9a
15127ec0d67e99
hex931f0fcb24c

10110101140044 has 192 divisors, whose sum is σ = 27137633402880. Its totient is φ = 3252762178560.

The previous prime is 10110101140043. The next prime is 10110101140081. The reversal of 10110101140044 is 44004110101101.

10110101140044 is a `hidden beast` number, since 10 + 110 + 101 + 1 + 400 + 44 = 666.

10110101140044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10110101139999 and 10110101140026.

It is not an unprimeable number, because it can be changed into a prime (10110101140043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 495753112 + ... + 495773504.

It is an arithmetic number, because the mean of its divisors is an integer number (141341840640).

Almost surely, 210110101140044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110101140044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13568816701440).

10110101140044 is an abundant number, since it is smaller than the sum of its proper divisors (17027532262836).

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

10110101140044 is a wasteful number, since it uses less digits than its factorization.

10110101140044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21637 (or 21629 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10110101140044 its reverse (44004110101101), we get a palindrome (54114211241145).

The spelling of 10110101140044 in words is "ten trillion, one hundred ten billion, one hundred one million, one hundred forty thousand, forty-four".