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1001012111 = 112910131069
BaseRepresentation
bin111011101010100…
…011101110001111
32120202120200110122
4323222203232033
54022224341421
6243155055155
733543314441
oct7352435617
92522520418
101001012111
11474055240
1223b2a14bb
1312c502a78
1496d32491
155cd312ab
hex3baa3b8f

1001012111 has 16 divisors (see below), whose sum is σ = 1140890400. Its totient is φ = 869904000.

The previous prime is 1001012107. The next prime is 1001012123. The reversal of 1001012111 is 1112101001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1001012111 - 22 = 1001012107 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001012101) 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 15 ways as a sum of consecutive naturals, for example, 16685 + ... + 47753.

It is an arithmetic number, because the mean of its divisors is an integer number (71305650).

Almost surely, 21001012111 is an apocalyptic number.

1001012111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001012111 is a deficient number, since it is larger than the sum of its proper divisors (139878289).

1001012111 is a wasteful number, since it uses less digits than its factorization.

1001012111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31210.

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 1001012111 is about 31638.7754345834. The cubic root of 1001012111 is about 1000.3372565785.

Adding to 1001012111 its reverse (1112101001), we get a palindrome (2113113112).

The spelling of 1001012111 in words is "one billion, one million, twelve thousand, one hundred eleven".

Divisors: 1 11 29 101 319 1111 2929 31069 32219 341759 901001 3137969 9911011 34517659 91001101 1001012111