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1002001231 = 71121161673
BaseRepresentation
bin111011101110010…
…101001101001111
32120211102221021201
4323232111031033
54023003014411
6243232210331
733554604250
oct7356251517
92524387251
101002001231
114746703a0
1223b6999a7
1312c78b04a
149710cb27
155ce793c1
hex3bb9534f

1002001231 has 16 divisors (see below), whose sum is σ = 1255189248. Its totient is φ = 777067200.

The previous prime is 1002001219. The next prime is 1002001237. The reversal of 1002001231 is 1321002001.

It is not a de Polignac number, because 1002001231 - 215 = 1001968463 is a prime.

It is a super-2 number, since 2×10020012312 = 2008012933851030722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002001237) 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, 14590 + ... + 47083.

It is an arithmetic number, because the mean of its divisors is an integer number (78449328).

Almost surely, 21002001231 is an apocalyptic number.

1002001231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1002001231 is a deficient number, since it is larger than the sum of its proper divisors (253188017).

1002001231 is a wasteful number, since it uses less digits than its factorization.

1002001231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61902.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1002001231 is about 31654.4030270672. The cubic root of 1002001231 is about 1000.6666325024. Note that the first 4 decimals are identical.

Adding to 1002001231 its reverse (1321002001), we get a palindrome (2323003232).

The spelling of 1002001231 in words is "one billion, two million, one thousand, two hundred thirty-one".

Divisors: 1 7 11 77 211 1477 2321 16247 61673 431711 678403 4748821 13013003 91091021 143143033 1002001231