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1030106130 = 235312234967
BaseRepresentation
bin111101011001100…
…010110000010010
32122210022210221220
4331121202300102
54102201344010
6250114425510
734345520604
oct7531426022
92583283856
101030106130
11489516a89
12248b92296
1313554b571
149ab47174
156067b970
hex3d662c12

1030106130 has 64 divisors (see below), whose sum is σ = 2563964928. Its totient is φ = 264588480.

The previous prime is 1030106117. The next prime is 1030106131. The reversal of 1030106130 is 316010301.

It is a super-2 number, since 2×10301061302 = 2122237278127153800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1030106131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204907 + ... + 209873.

It is an arithmetic number, because the mean of its divisors is an integer number (40061952).

Almost surely, 21030106130 is an apocalyptic number.

1030106130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030106130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281982464).

1030106130 is an abundant number, since it is smaller than the sum of its proper divisors (1533858798).

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

1030106130 is a wasteful number, since it uses less digits than its factorization.

1030106130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5231.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1030106130 is about 32095.2664734225. The cubic root of 1030106130 is about 1009.9363192213.

Adding to 1030106130 its reverse (316010301), we get a palindrome (1346116431).

The spelling of 1030106130 in words is "one billion, thirty million, one hundred six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 223 310 446 465 669 930 1115 1338 2230 3345 4967 6690 6913 9934 13826 14901 20739 24835 29802 34565 41478 49670 69130 74505 103695 149010 153977 207390 307954 461931 769885 923862 1107641 1539770 2215282 2309655 3322923 4619310 5538205 6645846 11076410 16614615 33229230 34336871 68673742 103010613 171684355 206021226 343368710 515053065 1030106130