Search a number
-
+
130210401060 = 223255354125229
BaseRepresentation
bin111100101000100100…
…1010000101100100100
3110110002120211201121200
41321101021100230210
54113132330313220
6135452352442500
712256510101345
oct1712111205444
9413076751550
10130210401060
1150249416603
122129b249430
13c3816610bc
1464333d80cc
1535c1574890
hex1e51250b24

130210401060 has 144 divisors (see below), whose sum is σ = 403183675440. Its totient is φ = 34003307520.

The previous prime is 130210401047. The next prime is 130210401077. The reversal of 130210401060 is 60104012031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9977612544 + 120232788516 = 99888^2 + 346746^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5148526 + ... + 5173754.

It is an arithmetic number, because the mean of its divisors is an integer number (2799886635).

Almost surely, 2130210401060 is an apocalyptic number.

130210401060 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 130210401060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201591837720).

130210401060 is an abundant number, since it is smaller than the sum of its proper divisors (272973274380).

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

130210401060 is a wasteful number, since it uses less digits than its factorization.

130210401060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25838 (or 25833 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130210401060 its reverse (60104012031), we get a palindrome (190314413091).

The spelling of 130210401060 in words is "one hundred thirty billion, two hundred ten million, four hundred one thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 541 636 795 954 1060 1082 1590 1623 1908 2164 2385 2705 3180 3246 4770 4869 5410 6492 8115 9540 9738 10820 16230 19476 24345 25229 28673 32460 48690 50458 57346 75687 86019 97380 100916 114692 126145 143365 151374 172038 227061 252290 258057 286730 302748 344076 378435 430095 454122 504580 516114 573460 756870 860190 908244 1032228 1135305 1290285 1337137 1513740 1720380 2270610 2580570 2674274 4011411 4541220 5161140 5348548 6685685 8022822 12034233 13371370 13648889 16045644 20057055 24068466 26742740 27297778 40114110 40946667 48136932 54595556 60171165 68244445 80228220 81893334 120342330 122840001 136488890 163786668 204733335 240684660 245680002 272977780 409466670 491360004 614200005 723391117 818933340 1228400010 1446782234 2170173351 2456800020 2893564468 3616955585 4340346702 6510520053 7233911170 8680693404 10850866755 13021040106 14467822340 21701733510 26042080212 32552600265 43403467020 65105200530 130210401060