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1031444441213 = 29411816417477
BaseRepresentation
bin11110000001001101110…
…00010010100001111101
310122121100010200112200212
433000212320102201331
5113344344234104323
62105501122002205
7134343104043524
oct17004670224175
93577303615625
101031444441213
11368484551a9a
12147a987a6365
137635999c584
1437cca6514bb
151bc6c0b2b78
hexf026e1287d

1031444441213 has 32 divisors (see below), whose sum is σ = 1100936884320. Its totient is φ = 964583424000.

The previous prime is 1031444441177. The next prime is 1031444441219. The reversal of 1031444441213 is 3121444441301.

It can be written as a sum of positive squares in 16 ways, for example, as 220108290649 + 811336150564 = 469157^2 + 900742^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031444441213 - 26 = 1031444441149 is a prime.

It is a super-2 number, since 2×10314444412132 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1031444441213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031444441219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137945231 + ... + 137952707.

It is an arithmetic number, because the mean of its divisors is an integer number (34404277635).

Almost surely, 21031444441213 is an apocalyptic number.

It is an amenable number.

1031444441213 is a deficient number, since it is larger than the sum of its proper divisors (69492443107).

1031444441213 is a wasteful number, since it uses less digits than its factorization.

1031444441213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8369.

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 1031444441213 its reverse (3121444441301), we get a palindrome (4152888882514).

The spelling of 1031444441213 in words is "one trillion, thirty-one billion, four hundred forty-four million, four hundred forty-one thousand, two hundred thirteen".

Divisors: 1 29 41 181 641 1189 5249 7421 7477 18589 26281 116021 215209 216833 306557 762149 1353337 3364609 4756861 4792757 8890153 39246773 55486817 137948969 138989953 196503037 867489017 1609117693 5698588073 25157181493 35567049697 1031444441213