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1032102011444 = 22725265826589
BaseRepresentation
bin11110000010011100001…
…00101110001000110100
310122200000222000120110212
433001032010232020310
5113402221103331234
62110050252004552
7134365310230100
oct17011604561064
93580028016425
101032102011444
11368791751269
12148040a60758
1376432ca419a
1437d4db02900
151bca9ba35ce
hexf04e12e234

1032102011444 has 18 divisors (see below), whose sum is σ = 2101064809410. Its totient is φ = 442329433392.

The previous prime is 1032102011441. The next prime is 1032102011467. The reversal of 1032102011444 is 4441102012301.

It can be written as a sum of positive squares in only one way, i.e., 881604567844 + 150497443600 = 938938^2 + 387940^2 .

It is a super-3 number, since 3×10321020114443 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032102011441) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2632913099 + ... + 2632913490.

It is an arithmetic number, because the mean of its divisors is an integer number (116725822745).

Almost surely, 21032102011444 is an apocalyptic number.

1032102011444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1032102011444 is an abundant number, since it is smaller than the sum of its proper divisors (1068962797966).

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

1032102011444 is a wasteful number, since it uses less digits than its factorization.

1032102011444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265826607 (or 5265826598 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1032102011444 its reverse (4441102012301), we get a palindrome (5473204023745).

The spelling of 1032102011444 in words is "one trillion, thirty-two billion, one hundred two million, eleven thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 5265826589 10531653178 21063306356 36860786123 73721572246 147443144492 258025502861 516051005722 1032102011444