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130213102230 = 233519187713523
BaseRepresentation
bin111100101000101001…
…1100100001010010110
3110110002202220221221000
41321101103210022112
54113134023232410
6135452530404130
712256542051441
oct1712123441226
9413082827830
10130213102230
115024a9a0a82
12212a0130646
13c382098723
1464338dc658
1535c1909dc0
hex1e514e4296

130213102230 has 128 divisors (see below), whose sum is σ = 365732236800. Its totient is φ = 32875984512.

The previous prime is 130213102189. The next prime is 130213102237. The reversal of 130213102230 is 32201312031.

130213102230 is a `hidden beast` number, since 1 + 302 + 1 + 310 + 22 + 30 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130213102237) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9622249 + ... + 9635771.

It is an arithmetic number, because the mean of its divisors is an integer number (2857283100).

Almost surely, 2130213102230 is an apocalyptic number.

130213102230 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 130213102230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182866118400).

130213102230 is an abundant number, since it is smaller than the sum of its proper divisors (235519134570).

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

130213102230 is a wasteful number, since it uses less digits than its factorization.

130213102230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15435 (or 15429 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130213102230 its reverse (32201312031), we get a palindrome (162414414261).

The spelling of 130213102230 in words is "one hundred thirty billion, two hundred thirteen million, one hundred two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 1877 2565 3754 5130 5631 9385 11262 13523 16893 18770 27046 28155 33786 35663 40569 50679 56310 67615 71326 81138 84465 101358 106989 121707 135230 168930 178315 202845 213978 243414 253395 256937 320967 356630 365121 405690 506790 513874 534945 608535 641934 730242 770811 962901 1069890 1217070 1284685 1541622 1604835 1825605 1925802 2312433 2569370 3209670 3651210 3854055 4624866 4814505 6937299 7708110 9629010 11562165 13874598 23124330 25382671 34686495 50765342 69372990 76148013 126913355 152296026 228444039 253826710 380740065 456888078 482270749 685332117 761480130 964541498 1142220195 1370664234 1446812247 2284440390 2411353745 2893624494 3426660585 4340436741 4822707490 6853321170 7234061235 8680873482 13021310223 14468122470 21702183705 26042620446 43404367410 65106551115 130213102230