Search a number
-
+
130130231130 = 23358310157493
BaseRepresentation
bin111100100110001011…
…1011011111101011010
3110102212222222200011000
41321030113123331122
54113001314344010
6135440410245430
712254514466644
oct1711427337532
9412788880130
10130130231130
1150208139769
1221278426876
13c36ab71583
1464268c9894
1535b94da7c0
hex1e4c5dbf5a

130130231130 has 128 divisors (see below), whose sum is σ = 354678186240. Its totient is φ = 33943276800.

The previous prime is 130130231123. The next prime is 130130231141. The reversal of 130130231130 is 31132031031.

It is a happy number.

130130231130 is a `hidden beast` number, since 1 + 301 + 3 + 0 + 231 + 130 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2234664 + ... + 2292156.

It is an arithmetic number, because the mean of its divisors is an integer number (2770923330).

Almost surely, 2130130231130 is an apocalyptic number.

130130231130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130130231130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177339093120).

130130231130 is an abundant number, since it is smaller than the sum of its proper divisors (224547955110).

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

130130231130 is a wasteful number, since it uses less digits than its factorization.

130130231130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57693 (or 57687 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130130231130 its reverse (31132031031), we get a palindrome (161262262161).

The spelling of 130130231130 in words is "one hundred thirty billion, one hundred thirty million, two hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 83 90 101 135 166 202 249 270 303 415 498 505 606 747 830 909 1010 1245 1494 1515 1818 2241 2490 2727 3030 3735 4482 4545 5454 7470 8383 9090 11205 13635 16766 22410 25149 27270 41915 50298 57493 75447 83830 114986 125745 150894 172479 226341 251490 287465 344958 377235 452682 517437 574930 754470 862395 1034874 1131705 1552311 1724790 2263410 2587185 3104622 4771919 5174370 5806793 7761555 9543838 11613586 14315757 15523110 17420379 23859595 28631514 29033965 34840758 42947271 47719190 52261137 58067930 71578785 85894542 87101895 104522274 128841813 143157570 156783411 174203790 214736355 257683626 261305685 313566822 429472710 481963819 522611370 644209065 783917055 963927638 1288418130 1445891457 1567834110 2409819095 2891782914 4337674371 4819638190 7229457285 8675348742 13013023113 14458914570 21688371855 26026046226 43376743710 65065115565 130130231130