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130144100 = 225210712163
BaseRepresentation
bin1111100000111…
…01011101100100
3100001220000010212
413300131131210
5231304102400
620525234552
73140130602
oct760353544
9301800125
10130144100
1167510209
1237702a58
1320c69258
14133da872
15b65b335
hex7c1d764

130144100 has 36 divisors (see below), whose sum is σ = 285075504. Its totient is φ = 51566880.

The previous prime is 130144093. The next prime is 130144103. The reversal of 130144100 is 1441031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (130144103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4619 + ... + 16781.

It is an arithmetic number, because the mean of its divisors is an integer number (7918764).

Almost surely, 2130144100 is an apocalyptic number.

130144100 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 130144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142537752).

130144100 is an abundant number, since it is smaller than the sum of its proper divisors (154931404).

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

130144100 is a wasteful number, since it uses less digits than its factorization.

130144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12284 (or 12277 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 130144100 is about 11408.0717038420. The cubic root of 130144100 is about 506.7668074992.

Adding to 130144100 its reverse (1441031), we get a palindrome (131585131).

The spelling of 130144100 in words is "one hundred thirty million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 535 1070 2140 2675 5350 10700 12163 24326 48652 60815 121630 243260 304075 608150 1216300 1301441 2602882 5205764 6507205 13014410 26028820 32536025 65072050 130144100