Search a number
-
+
130142132300 = 225231293143281
BaseRepresentation
bin111100100110100010…
…0110101100001001100
3110102220211101022111002
41321031010311201030
54113012341213200
6135441513315432
712255020605145
oct1711504654114
9412824338432
10130142132300
1150213928244
1221280405b78
13c37047a59b
146428306acc
1535ba58bbd5
hex1e4d13584c

130142132300 has 72 divisors (see below), whose sum is σ = 292515361152. Its totient is φ = 50205312000.

The previous prime is 130142132213. The next prime is 130142132311. The reversal of 130142132300 is 3231241031.

It is a super-4 number, since 4×1301421323004 (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 836660 + ... + 979940.

Almost surely, 2130142132300 is an apocalyptic number.

130142132300 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 130142132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146257680576).

130142132300 is an abundant number, since it is smaller than the sum of its proper divisors (162373228852).

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

130142132300 is a wasteful number, since it uses less digits than its factorization.

130142132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143619 (or 143612 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 130142132300 its reverse (3231241031), we get a palindrome (133373373331).

The spelling of 130142132300 in words is "one hundred thirty billion, one hundred forty-two million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 293 310 586 620 775 1172 1465 1550 2930 3100 5860 7325 9083 14650 18166 29300 36332 45415 90830 143281 181660 227075 286562 454150 573124 716405 908300 1432810 2865620 3582025 4441711 7164050 8883422 14328100 17766844 22208555 41981333 44417110 83962666 88834220 111042775 167925332 209906665 222085550 419813330 444171100 839626660 1049533325 1301421323 2099066650 2602842646 4198133300 5205685292 6507106615 13014213230 26028426460 32535533075 65071066150 130142132300