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1000031112041 = 132337471923281
BaseRepresentation
bin11101000110101100111…
…11111100101101101001
310112121020212222002011212
432203112133330231221
5112341030431041131
62043224041202505
7132151463125463
oct16432637745551
93477225862155
101000031112041
11356124545925
12141990490435
13733c186ca30
143658a625133
151b02e35ea2b
hexe8d67fcb69

1000031112041 has 32 divisors (see below), whose sum is σ = 1178710299648. Its totient is φ = 840827243520.

The previous prime is 1000031112029. The next prime is 1000031112043. The reversal of 1000031112041 is 1402111300001.

It is not a de Polignac number, because 1000031112041 - 218 = 1000030849897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000031112043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441680 + ... + 1481601.

It is an arithmetic number, because the mean of its divisors is an integer number (36834696864).

Almost surely, 21000031112041 is an apocalyptic number.

It is an amenable number.

1000031112041 is a deficient number, since it is larger than the sum of its proper divisors (178679187607).

1000031112041 is a wasteful number, since it uses less digits than its factorization.

1000031112041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923401.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1000031112041 its reverse (1402111300001), we get a palindrome (2402142412042).

The spelling of 1000031112041 in words is "one trillion, thirty-one million, one hundred twelve thousand, forty-one".

Divisors: 1 13 23 37 47 299 481 611 851 1081 1739 11063 14053 22607 39997 519961 1923281 25002653 44235463 71161397 90394207 575061019 925098161 1175124691 1636712131 2079066761 3344585659 21277257703 27027867893 43479613567 76925470157 1000031112041