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1000230231 = 3711132511327
BaseRepresentation
bin111011100111100…
…100110101010111
32120201002221221010
4323213210311113
54022024331411
6243130223303
733533550060
oct7347446527
92521087833
101000230231
11473670860
1223ab84b33
1312c2bac10
1496bab567
155cc297a6
hex3b9e4d57

1000230231 has 64 divisors (see below), whose sum is σ = 1799110656. Its totient is φ = 477360000.

The previous prime is 1000230223. The next prime is 1000230247. The reversal of 1000230231 is 1320320001.

It is a happy number.

It is not a de Polignac number, because 1000230231 - 23 = 1000230223 is a prime.

It is a super-2 number, since 2×10002302312 = 2000921030012626722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000230131) 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 63 ways as a sum of consecutive naturals, for example, 753090 + ... + 754416.

It is an arithmetic number, because the mean of its divisors is an integer number (28111104).

Almost surely, 21000230231 is an apocalyptic number.

1000230231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000230231 is a deficient number, since it is larger than the sum of its proper divisors (798880425).

1000230231 is a wasteful number, since it uses less digits than its factorization.

1000230231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1000230231 is about 31626.4166639219. The cubic root of 1000230231 is about 1000.0767377778.

Adding to 1000230231 its reverse (1320320001), we get a palindrome (2320550232).

The spelling of 1000230231 in words is "one billion, two hundred thirty thousand, two hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 251 273 429 753 1001 1327 1757 2761 3003 3263 3981 5271 8283 9289 9789 14597 17251 19327 22841 27867 35893 43791 51753 57981 68523 102179 107679 120757 189761 251251 306537 333077 362271 569283 753753 999231 1328327 2331539 3663847 3984981 4330001 6994617 10991541 12990003 25646929 30310007 47630011 76940787 90930021 142890033 333410077 1000230231