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130094100 = 22345216061
BaseRepresentation
bin1111100000100…
…01010000010100
3100001210110120000
413300101100110
5231301002400
620524211300
73136532043
oct760212024
9301713500
10130094100
1167486694
1237699b30
1320c4c576
14133c655a
15b64b600
hex7c11414

130094100 has 90 divisors (see below), whose sum is σ = 421739934. Its totient is φ = 34689600.

The previous prime is 130094089. The next prime is 130094123. The reversal of 130094100 is 1490031.

It can be written as a sum of positive squares in 3 ways, for example, as 1089936 + 129004164 = 1044^2 + 11358^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 70 + ... + 16130.

Almost surely, 2130094100 is an apocalyptic number.

130094100 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 130094100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210869967).

130094100 is an abundant number, since it is smaller than the sum of its proper divisors (291645834).

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

130094100 is a wasteful number, since it uses less digits than its factorization.

130094100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16087 (or 16071 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 130094100 is about 11405.8800624941. The cubic root of 130094100 is about 506.7019010200.

The spelling of 130094100 in words is "one hundred thirty million, ninety-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 16061 32122 48183 64244 80305 96366 144549 160610 192732 240915 289098 321220 401525 433647 481830 578196 722745 803050 867294 963660 1204575 1300941 1445490 1606100 1734588 2168235 2409150 2601882 2890980 3613725 4336470 4818300 5203764 6504705 7227450 8672940 10841175 13009410 14454900 21682350 26018820 32523525 43364700 65047050 130094100