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1000031142 = 231119797473
BaseRepresentation
bin111011100110110…
…100001110100110
32120200201211211110
4323212310032212
54022001444032
6243122045450
733532060455
oct7346641646
92520654743
101000031142
11473545220
1223aaa9886
1312c24b406
1496b58b9c
155cbda7cc
hex3b9b43a6

1000031142 has 32 divisors (see below), whose sum is σ = 2296725120. Its totient is φ = 287089920.

The previous prime is 1000031141. The next prime is 1000031143. The reversal of 1000031142 is 2411300001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1000031141) and next prime (1000031143).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000031141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397483 + ... + 399990.

It is an arithmetic number, because the mean of its divisors is an integer number (71772660).

Almost surely, 21000031142 is an apocalyptic number.

1000031142 is an abundant number, since it is smaller than the sum of its proper divisors (1296693978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000031142 is a wasteful number, since it uses less digits than its factorization.

1000031142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797508.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1000031142 is about 31623.2689961048. The cubic root of 1000031142 is about 1000.0103805589.

Adding to 1000031142 its reverse (2411300001), we get a palindrome (3411331143).

The spelling of 1000031142 in words is "one billion, thirty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 797473 1594946 2392419 4784838 8772203 15151987 17544406 26316609 30303974 45455961 52633218 90911922 166671857 333343714 500015571 1000031142