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11010002112120 = 233511167431115883
BaseRepresentation
bin1010000000110111011101…
…0000111100111001111000
31102222112201222101121201110
42200031313100330321320
52420341441020041440
635225531455320320
72214306054553134
oct240156720747170
942875658347643
1011010002112120
113565352186880
12129998b5200a0
1361b3146a09ab
142a0c5bac83c4
151415de833080
hexa037743ce78

11010002112120 has 256 divisors, whose sum is σ = 36332915834880. Its totient is φ = 2646930291200.

The previous prime is 11010002112077. The next prime is 11010002112133. The reversal of 11010002112120 is 2121120001011.

11010002112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110100021121202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11010002112096 and 11010002112105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94951699 + ... + 95067581.

It is an arithmetic number, because the mean of its divisors is an integer number (141925452480).

Almost surely, 211010002112120 is an apocalyptic number.

11010002112120 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 11010002112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18166457917440).

11010002112120 is an abundant number, since it is smaller than the sum of its proper divisors (25322913722760).

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

11010002112120 is a wasteful number, since it uses less digits than its factorization.

11010002112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116506 (or 116502 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11010002112120 its reverse (2121120001011), we get a palindrome (13131122113131).

The spelling of 11010002112120 in words is "eleven trillion, ten billion, two million, one hundred twelve thousand, one hundred twenty".