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1130444312041 = 1110123918732273
BaseRepresentation
bin10000011100110011101…
…110110100110111101001
311000001212121102001122101
4100130303232310313221
5122010122220441131
62223152520453401
7144446315052532
oct20346356646751
94001777361571
101130444312041
113a6467386260
1216310761a261
13827a62280b5
143c9dc92d689
151e6135e2c61
hex10733bb4de9

1130444312041 has 32 divisors (see below), whose sum is σ = 1251851189760. Its totient is φ = 1012257792000.

The previous prime is 1130444312017. The next prime is 1130444312069. The reversal of 1130444312041 is 1402134440311.

It is a cyclic number.

It is not a de Polignac number, because 1130444312041 - 235 = 1096084573673 is a prime.

It is a super-3 number, since 3×11304443120413 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1130444312071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497334681 + ... + 497336953.

It is an arithmetic number, because the mean of its divisors is an integer number (39120349680).

Almost surely, 21130444312041 is an apocalyptic number.

1130444312041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1130444312041 is a deficient number, since it is larger than the sum of its proper divisors (121406877719).

1130444312041 is a wasteful number, since it uses less digits than its factorization.

1130444312041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1130444312041 its reverse (1402134440311), we get a palindrome (2532578752352).

The spelling of 1130444312041 in words is "one trillion, one hundred thirty billion, four hundred forty-four million, three hundred twelve thousand, forty-one".

Divisors: 1 11 101 239 1111 1873 2273 2629 20603 24139 25003 189173 229573 265529 447647 543247 2080903 2525303 4257329 4924117 5975717 45212347 46830619 54867947 429990229 497335817 603547417 1017501631 4729892519 11192517941 102767664731 1130444312041