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130010221 = 114127989
BaseRepresentation
bin1111011111111…
…00110001101101
3100001122012111101
413233330301231
5231240311341
620522323101
73136032355
oct757746155
9301565441
10130010221
1167429670
1237659491
1320c20333
14133a3b65
15b631831
hex7bfcc6d

130010221 has 24 divisors (see below), whose sum is σ = 148867200. Its totient is φ = 112569600.

The previous prime is 130010213. The next prime is 130010261. The reversal of 130010221 is 122010031.

It is not a de Polignac number, because 130010221 - 23 = 130010213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130010198 and 130010207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130010201) 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 23 ways as a sum of consecutive naturals, for example, 1460745 + ... + 1460833.

It is an arithmetic number, because the mean of its divisors is an integer number (6202800).

Almost surely, 2130010221 is an apocalyptic number.

130010221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130010221 is a deficient number, since it is larger than the sum of its proper divisors (18856979).

130010221 is an equidigital number, since it uses as much as digits as its factorization.

130010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 220 counting only the distinct ones).

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

The square root of 130010221 is about 11402.2024626824. The cubic root of 130010221 is about 506.5929778471.

Adding to 130010221 its reverse (122010031), we get a palindrome (252020252).

The spelling of 130010221 in words is "one hundred thirty million, ten thousand, two hundred twenty-one".

Divisors: 1 11 41 79 89 451 869 979 1681 3239 3649 7031 18491 35629 40139 77341 132799 149609 288271 1460789 1645699 3170981 11819111 130010221