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1001054131 = 71129344371
BaseRepresentation
bin111011101010101…
…101111110110011
32120202122211002221
4323222231332303
54022232213011
6243200021511
733543551110
oct7352557663
92522584087
101001054131
11474083870
1223b301897
1312c518c2c
1496d43907
155cd3d971
hex3baadfb3

1001054131 has 16 divisors (see below), whose sum is σ = 1252355328. Its totient is φ = 777362400.

The previous prime is 1001054123. The next prime is 1001054207. The reversal of 1001054131 is 1314501001.

It is a cyclic number.

It is not a de Polignac number, because 1001054131 - 23 = 1001054123 is a prime.

It is a super-2 number, since 2×10010541312 = 2004218746384330322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001054101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376 + ... + 44746.

It is an arithmetic number, because the mean of its divisors is an integer number (78272208).

Almost surely, 21001054131 is an apocalyptic number.

1001054131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001054131 is a deficient number, since it is larger than the sum of its proper divisors (251301197).

1001054131 is a wasteful number, since it uses less digits than its factorization.

1001054131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44682.

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 1001054131 is about 31639.4394861856. The cubic root of 1001054131 is about 1000.3512536065.

Adding to 1001054131 its reverse (1314501001), we get a palindrome (2315555132).

The spelling of 1001054131 in words is "one billion, one million, fifty-four thousand, one hundred thirty-one".

Divisors: 1 7 11 77 293 2051 3223 22561 44371 310597 488081 3416567 13000703 91004921 143007733 1001054131