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130001641 = 71167113223
BaseRepresentation
bin1111011111110…
…10101011101001
3100001121202201121
413233322223221
5231240023031
620522215241
73135665350
oct757725351
9301552647
10130001641
1167423180
1237654521
1320c19463
14133a0997
15b62e011
hex7bfaae9

130001641 has 32 divisors (see below), whose sum is σ = 166699008. Its totient is φ = 98461440.

The previous prime is 130001623. The next prime is 130001647. The reversal of 130001641 is 146100031.

It is not a de Polignac number, because 130001641 - 219 = 129477353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130001647) 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 31 ways as a sum of consecutive naturals, for example, 582856 + ... + 583078.

It is an arithmetic number, because the mean of its divisors is an integer number (5209344).

Almost surely, 2130001641 is an apocalyptic number.

130001641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130001641 is a deficient number, since it is larger than the sum of its proper divisors (36697367).

130001641 is a wasteful number, since it uses less digits than its factorization.

130001641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 130001641 is about 11401.8262133748. The cubic root of 130001641 is about 506.5818334326.

Adding to 130001641 its reverse (146100031), we get a palindrome (276101672).

It can be divided in two parts, 13000 and 1641, that added together give a palindrome (14641).

The spelling of 130001641 in words is "one hundred thirty million, one thousand, six hundred forty-one".

Divisors: 1 7 11 67 77 113 223 469 737 791 1243 1561 2453 5159 7571 8701 14941 17171 25199 52997 83281 104587 164351 176393 277189 582967 1150457 1688333 1940323 11818331 18571663 130001641