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11110012120 = 23519101144737
BaseRepresentation
bin10100101100011010…
…10101010011011000
31001200021110002111101
422112031111103120
5140223130341440
65034234041144
7542213354614
oct122615252330
931607402441
1011110012120
1147913485a9
1221a08791b4
13108096538c
1477574a344
1545057069a
hex2963554d8

11110012120 has 64 divisors (see below), whose sum is σ = 26573896800. Its totient is φ = 4168396800.

The previous prime is 11110012087. The next prime is 11110012127. The reversal of 11110012120 is 2121001111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11110012097 and 11110012106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110012127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4392 + ... + 149128.

Almost surely, 211110012120 is an apocalyptic number.

11110012120 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 11110012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13286948400).

11110012120 is an abundant number, since it is smaller than the sum of its proper divisors (15463884680).

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

11110012120 is a wasteful number, since it uses less digits than its factorization.

11110012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144868 (or 144864 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11110012120 its reverse (2121001111), we get a palindrome (13231013231).

The spelling of 11110012120 in words is "eleven billion, one hundred ten million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 101 152 190 202 380 404 505 760 808 1010 1919 2020 3838 4040 7676 9595 15352 19190 38380 76760 144737 289474 578948 723685 1157896 1447370 2750003 2894740 5500006 5789480 11000012 13750015 14618437 22000024 27500030 29236874 55000060 58473748 73092185 110000120 116947496 146184370 277750303 292368740 555500606 584737480 1111001212 1388751515 2222002424 2777503030 5555006060 11110012120