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1005610130 = 257127113117
BaseRepresentation
bin111011111100000…
…110010010010010
32121002020021202122
4323330012102102
54024414011010
6243441414242
733630354650
oct7374062222
92532207678
101005610130
11476705858
1224093a382
131304528a5
14977abdd0
155d43d855
hex3bf06492

1005610130 has 32 divisors (see below), whose sum is σ = 2084990976. Its totient is φ = 342062784.

The previous prime is 1005610127. The next prime is 1005610153. The reversal of 1005610130 is 310165001.

1005610130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10056101302 = 2022503467117233800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005610099 and 1005610108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47669 + ... + 65448.

It is an arithmetic number, because the mean of its divisors is an integer number (65155968).

Almost surely, 21005610130 is an apocalyptic number.

1005610130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005610130 is an abundant number, since it is smaller than the sum of its proper divisors (1079380846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005610130 is a wasteful number, since it uses less digits than its factorization.

1005610130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113258.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 1005610130 is about 31711.3564831276. The cubic root of 1005610130 is about 1001.8665571301.

Adding to 1005610130 its reverse (310165001), we get a palindrome (1315775131).

The spelling of 1005610130 in words is "one billion, five million, six hundred ten thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 70 127 254 635 889 1270 1778 4445 8890 113117 226234 565585 791819 1131170 1583638 3959095 7918190 14365859 28731718 71829295 100561013 143658590 201122026 502805065 1005610130