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130043100 = 2235211157251
BaseRepresentation
bin1111100000001…
…00110011011100
3100001200212121010
413300010303130
5231242334400
620523135220
73136230255
oct760046334
9301625533
10130043100
1167451340
1237674510
1320c322a5
14133b1b2c
15b63b450
hex7c04cdc

130043100 has 144 divisors (see below), whose sum is σ = 414723456. Its totient is φ = 31200000.

The previous prime is 130043099. The next prime is 130043129. The reversal of 130043100 is 1340031.

It is a super-2 number, since 2×1300431002 = 33822415715220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517975 + ... + 518225.

It is an arithmetic number, because the mean of its divisors is an integer number (2880024).

Almost surely, 2130043100 is an apocalyptic number.

130043100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130043100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207361728).

130043100 is an abundant number, since it is smaller than the sum of its proper divisors (284680356).

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

130043100 is a wasteful number, since it uses less digits than its factorization.

130043100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 130043100 is about 11403.6441543921. The cubic root of 130043100 is about 506.6356792760.

Adding to 130043100 its reverse (1340031), we get a palindrome (131383131).

The spelling of 130043100 in words is "one hundred thirty million, forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 157 165 220 251 275 300 314 330 471 502 550 628 660 753 785 825 942 1004 1100 1255 1506 1570 1650 1727 1884 2355 2510 2761 3012 3140 3300 3454 3765 3925 4710 5020 5181 5522 6275 6908 7530 7850 8283 8635 9420 10362 11044 11775 12550 13805 15060 15700 16566 17270 18825 20724 23550 25100 25905 27610 33132 34540 37650 39407 41415 43175 47100 51810 55220 69025 75300 78814 82830 86350 103620 118221 129525 138050 157628 165660 172700 197035 207075 236442 259050 276100 394070 414150 433477 472884 518100 591105 788140 828300 866954 985175 1182210 1300431 1733908 1970350 2167385 2364420 2600862 2955525 3940700 4334770 5201724 5911050 6502155 8669540 10836925 11822100 13004310 21673850 26008620 32510775 43347700 65021550 130043100