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130301233230 = 235723128920929
BaseRepresentation
bin111100101011010001…
…1110000100001001110
3110110022220202110221010
41321112203300201032
54113324103430410
6135505355350050
712261662131230
oct1712643604116
9413286673833
10130301233230
1150295716113
1221305752326
13c397414a4c
1464414c0250
1535c9517c20
hex1e568f084e

130301233230 has 128 divisors (see below), whose sum is σ = 373243852800. Its totient is φ = 28464758784.

The previous prime is 130301233201. The next prime is 130301233241. The reversal of 130301233230 is 32332103031.

130301233230 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1303012332302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 130301233197 and 130301233206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6215406 + ... + 6236334.

It is an arithmetic number, because the mean of its divisors is an integer number (2915967600).

Almost surely, 2130301233230 is an apocalyptic number.

130301233230 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 130301233230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186621926400).

130301233230 is an abundant number, since it is smaller than the sum of its proper divisors (242942619570).

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

130301233230 is a wasteful number, since it uses less digits than its factorization.

130301233230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22258.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 130301233230 its reverse (32332103031), we get a palindrome (162633336261).

The spelling of 130301233230 in words is "one hundred thirty billion, three hundred one million, two hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 690 805 966 1289 1610 2415 2578 3867 4830 6445 7734 9023 12890 18046 19335 20929 27069 29647 38670 41858 45115 54138 59294 62787 88941 90230 104645 125574 135345 146503 148235 177882 207529 209290 270690 293006 296470 313935 415058 439509 444705 481367 622587 627870 732515 879018 889410 962734 1037645 1245174 1444101 1465030 2075290 2197545 2406835 2888202 3112935 3369569 4395090 4813670 6225870 6739138 7220505 10108707 14441010 16847845 20217414 26977481 33695690 50543535 53954962 80932443 101087070 134887405 161864886 188842367 269774810 377684734 404662215 566527101 620482063 809324430 944211835 1133054202 1240964126 1861446189 1888423670 2832635505 3102410315 3722892378 4343374441 5665271010 6204820630 8686748882 9307230945 13030123323 18614461890 21716872205 26060246646 43433744410 65150616615 130301233230