Search a number
-
+
130102352 = 24232973167
BaseRepresentation
bin1111100000100…
…11010001010000
3100001210212212122
413300103101100
5231301233402
620524313412
73136565102
oct760232120
9301725778
10130102352
1167491906
12376a2868
1320c53253
14133c9572
15b64dca2
hex7c13450

130102352 has 80 divisors (see below), whose sum is σ = 277482240. Its totient is φ = 58899456.

The previous prime is 130102351. The next prime is 130102373. The reversal of 130102352 is 253201031.

It is a self number, because there is not a number n which added to its sum of digits gives 130102352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130102351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 778973 + ... + 779139.

It is an arithmetic number, because the mean of its divisors is an integer number (3468528).

Almost surely, 2130102352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130102352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138741120).

130102352 is an abundant number, since it is smaller than the sum of its proper divisors (147379888).

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

130102352 is a wasteful number, since it uses less digits than its factorization.

130102352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 130102352 is about 11406.2417999971. The cubic root of 130102352 is about 506.7126143311.

Adding to 130102352 its reverse (253201031), we get a palindrome (383303383).

The spelling of 130102352 in words is "one hundred thirty million, one hundred two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 23 29 46 58 73 92 116 146 167 184 232 292 334 368 464 584 667 668 1168 1334 1336 1679 2117 2668 2672 3358 3841 4234 4843 5336 6716 7682 8468 9686 10672 12191 13432 15364 16936 19372 24382 26864 30728 33872 38744 48691 48764 61456 77488 97382 97528 111389 194764 195056 222778 280393 353539 389528 445556 560786 707078 779056 891112 1121572 1414156 1782224 2243144 2828312 4486288 5656624 8131397 16262794 32525588 65051176 130102352