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12011111020 = 2257919733853
BaseRepresentation
bin10110010111110101…
…10000001001101100
31011000002000122210201
423023322300021230
5144044321023040
65303503443244
7603434521246
oct131372601154
934002018721
1012011111020
115103a60537
1223b25b6524
131195554cac
1481d2b1096
154a4717a9a
hex2cbeb026c

12011111020 has 48 divisors (see below), whose sum is σ = 25562194560. Its totient is φ = 4739993856.

The previous prime is 12011110973. The next prime is 12011111033. The reversal of 12011111020 is 2011111021.

12011111020 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 12011110988 and 12011111006.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3115414 + ... + 3119266.

It is an arithmetic number, because the mean of its divisors is an integer number (532545720).

Almost surely, 212011111020 is an apocalyptic number.

12011111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011111020 is an abundant number, since it is smaller than the sum of its proper divisors (13551083540).

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

12011111020 is a wasteful number, since it uses less digits than its factorization.

12011111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5914 (or 5912 counting only the distinct ones).

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

Adding to 12011111020 its reverse (2011111021), we get a palindrome (14022222041).

Subtracting from 12011111020 its reverse (2011111021), we obtain a palindrome (9999999999).

It can be divided in two parts, 120111 and 11020, that added together give a palindrome (131131).

The spelling of 12011111020 in words is "twelve billion, eleven million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 79 158 316 395 790 1580 1973 3853 3946 7706 7892 9865 15412 19265 19730 38530 39460 77060 155867 304387 311734 608774 623468 779335 1217548 1521935 1558670 3043870 3117340 6087740 7601969 15203938 30407876 38009845 76019690 152039380 600555551 1201111102 2402222204 3002777755 6005555510 12011111020