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1001000232 = 233270919609
BaseRepresentation
bin111011101010100…
…000110100101000
32120202120002011200
4323222200310220
54022224001412
6243154524200
733543235011
oct7352406450
92522502150
101001000232
11474047321
1223b296660
1312c4ca53b
1496d2c008
155cd2c9dc
hex3baa0d28

1001000232 has 48 divisors (see below), whose sum is σ = 2715004500. Its totient is φ = 333179136.

The previous prime is 1001000173. The next prime is 1001000233. The reversal of 1001000232 is 2320001001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 973814436 + 27185796 = 31206^2 + 5214^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 11 ways as a sum of consecutive naturals, for example, 41244 + ... + 60852.

Almost surely, 21001000232 is an apocalyptic number.

1001000232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001000232 is an abundant number, since it is smaller than the sum of its proper divisors (1714004268).

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

1001000232 is a wasteful number, since it uses less digits than its factorization.

1001000232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20330 (or 20323 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1001000232 is about 31638.5877055219. The cubic root of 1001000232 is about 1000.3332995657. Note that the first 3 decimals are identical.

Adding to 1001000232 its reverse (2320001001), we get a palindrome (3321001233).

It can be divided in two parts, 100100023 and 2, that added together give a square (100100025 = 100052).

The spelling of 1001000232 in words is "one billion, one million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 709 1418 2127 2836 4254 5672 6381 8508 12762 17016 19609 25524 39218 51048 58827 78436 117654 156872 176481 235308 352962 470616 705924 1411848 13902781 27805562 41708343 55611124 83416686 111222248 125125029 166833372 250250058 333666744 500500116 1001000232