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1016201130 = 235719257991
BaseRepresentation
bin111100100100011…
…111111110101010
32121211011100212220
4330210133332222
54040121414010
6244500414510
734116365340
oct7444377652
92554140786
101016201130
11481689a4a
122443a7436
131326c0459
1498d67990
155e331970
hex3c91ffaa

1016201130 has 128 divisors (see below), whose sum is σ = 2948382720. Its totient is φ = 218972160.

The previous prime is 1016201107. The next prime is 1016201143. The reversal of 1016201130 is 311026101.

It is a super-2 number, since 2×10162011302 = 2065329473226553800, which contains 22 as substring.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1024935 + ... + 1025925.

It is an arithmetic number, because the mean of its divisors is an integer number (23034240).

Almost surely, 21016201130 is an apocalyptic number.

1016201130 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 1016201130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474191360).

1016201130 is an abundant number, since it is smaller than the sum of its proper divisors (1932181590).

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

1016201130 is a wasteful number, since it uses less digits than its factorization.

1016201130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1016201130 is about 31877.9097495429. The cubic root of 1016201130 is about 1005.3714722916.

Adding to 1016201130 its reverse (311026101), we get a palindrome (1327227231).

The spelling of 1016201130 in words is "one billion, sixteen million, two hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 257 266 285 399 514 570 665 771 798 991 1285 1330 1542 1799 1982 1995 2570 2973 3598 3855 3990 4883 4955 5397 5946 6937 7710 8995 9766 9910 10794 13874 14649 14865 17990 18829 20811 24415 26985 29298 29730 34181 34685 37658 41622 48830 53970 56487 68362 69370 73245 94145 102543 104055 112974 131803 146490 170905 188290 205086 208110 254687 263606 282435 341810 395409 509374 512715 564870 659015 764061 790818 1025430 1273435 1318030 1528122 1782809 1977045 2546870 3565618 3820305 3954090 4839053 5348427 7640610 8914045 9678106 10696854 14517159 17828090 24195265 26742135 29034318 33873371 48390530 53484270 67746742 72585795 101620113 145171590 169366855 203240226 338733710 508100565 1016201130