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1006842031 = 13671155961
BaseRepresentation
bin111100000000110…
…011000010101111
32121011112212121121
4330000303002233
54030222421111
6243524041411
733644005336
oct7400630257
92534485547
101006842031
11477377358
12241233267
13130794520
1497a0cd1d
155d5d3871
hex3c0330af

1006842031 has 8 divisors (see below), whose sum is σ = 1100475824. Its totient is φ = 915520320.

The previous prime is 1006842013. The next prime is 1006842049. The reversal of 1006842031 is 1302486001.

It is an interprime number because it is at equal distance from previous prime (1006842013) and next prime (1006842049).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1006842031 - 25 = 1006841999 is a prime.

It is a super-2 number, since 2×10068420312 = 2027461750776409922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1006841987 and 1006842005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006842931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 577110 + ... + 578851.

It is an arithmetic number, because the mean of its divisors is an integer number (137559478).

Almost surely, 21006842031 is an apocalyptic number.

1006842031 is a deficient number, since it is larger than the sum of its proper divisors (93633793).

1006842031 is a wasteful number, since it uses less digits than its factorization.

1006842031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156041.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1006842031 is about 31730.7741947782. The cubic root of 1006842031 is about 1002.2754951942.

The spelling of 1006842031 in words is "one billion, six million, eight hundred forty-two thousand, thirty-one".

Divisors: 1 13 67 871 1155961 15027493 77449387 1006842031