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1001000231 = 7117922083
BaseRepresentation
bin111011101010100…
…000110100100111
32120202120002011122
4323222200310213
54022224001411
6243154524155
733543235010
oct7352406447
92522502148
101001000231
11474047320
1223b29665b
1312c4ca53a
1496d2c007
155cd2c9db
hex3baa0d27

1001000231 has 24 divisors (see below), whose sum is σ = 1264604544. Its totient is φ = 769757040.

The previous prime is 1001000173. The next prime is 1001000233. The reversal of 1001000231 is 1320001001.

It is not a de Polignac number, because 1001000231 - 214 = 1000983847 is a prime.

It is a super-2 number, since 2×10010002312 = 2004002924924106722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001000233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479516 + ... + 481598.

It is an arithmetic number, because the mean of its divisors is an integer number (52691856).

Almost surely, 21001000231 is an apocalyptic number.

1001000231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001000231 is a deficient number, since it is larger than the sum of its proper divisors (263604313).

1001000231 is an equidigital number, since it uses as much as digits as its factorization.

1001000231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1001000231 is about 31638.5876897184. The cubic root of 1001000231 is about 1000.3332992326. Note that the first 3 decimals are identical.

Adding to 1001000231 its reverse (1320001001), we get a palindrome (2321001232).

The spelling of 1001000231 in words is "one billion, one million, two hundred thirty-one", and thus it is an aban number.

Divisors: 1 7 11 77 79 553 869 2083 6083 6241 14581 22913 43687 68651 160391 164557 480557 1151899 1810127 12670889 13000003 91000021 143000033 1001000231