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1020241131 = 37133737147
BaseRepresentation
bin111100110011111…
…010010011101011
32122002202121201120
4330303322103223
54042140204011
6245123150323
734165622640
oct7463722353
92562677646
101020241131
11483999298
122458153a3
131334a62a0
14996d9dc7
155e87da06
hex3ccfa4eb

1020241131 has 16 divisors (see below), whose sum is σ = 1674242304. Its totient is φ = 538149024.

The previous prime is 1020241121. The next prime is 1020241139. The reversal of 1020241131 is 1311420201.

It is not a de Polignac number, because 1020241131 - 214 = 1020224747 is a prime.

It is a super-2 number, since 2×10202411312 = 2081783930768318322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1020241131.

It is not an unprimeable number, because it can be changed into a prime (1020241139) 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, 1868301 + ... + 1868846.

It is an arithmetic number, because the mean of its divisors is an integer number (104640144).

Almost surely, 21020241131 is an apocalyptic number.

1020241131 is a deficient number, since it is larger than the sum of its proper divisors (654001173).

1020241131 is a wasteful number, since it uses less digits than its factorization.

1020241131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737170.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1020241131 is about 31941.2136744990. The cubic root of 1020241131 is about 1006.7020261666.

Adding to 1020241131 its reverse (1311420201), we get a palindrome (2331661332).

The spelling of 1020241131 in words is "one billion, twenty million, two hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 13 21 39 91 273 3737147 11211441 26160029 48582911 78480087 145748733 340080377 1020241131