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12110021028 = 22327294389433
BaseRepresentation
bin10110100011101000…
…00100000110100100
31011020222010210211100
423101310010012210
5144300131133103
65321355440100
7606045323520
oct132164040644
934228123740
1012110021028
115154878046
12241b756030
1311acba6621
1482c49ad80
154ad2545a3
hex2d1d041a4

12110021028 has 288 divisors, whose sum is σ = 37535097600. Its totient is φ = 3218890752.

The previous prime is 12110020981. The next prime is 12110021029. The reversal of 12110021028 is 82012001121.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12110021028.

It is not an unprimeable number, because it can be changed into a prime (12110021029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27967500 + ... + 27967932.

It is an arithmetic number, because the mean of its divisors is an integer number (130330200).

Almost surely, 212110021028 is an apocalyptic number.

12110021028 is a gapful number since it is divisible by the number (18) 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 12110021028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18767548800).

12110021028 is an abundant number, since it is smaller than the sum of its proper divisors (25425076572).

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

12110021028 is a wasteful number, since it uses less digits than its factorization.

12110021028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 606 counting only the distinct ones).

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

Adding to 12110021028 its reverse (82012001121), we get a palindrome (94122022149).

The spelling of 12110021028 in words is "twelve billion, one hundred ten million, twenty-one thousand, twenty-eight".