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30310130100 = 223522911173119
BaseRepresentation
bin11100001110100111…
…111110000110110100
32220020100212010220010
4130032213332012310
5444033343130400
621531351140220
72122053566145
oct341647760664
986210763803
1030310130100
11119443073a8
125a5a974670
132b206cba33
1416776d7acc
15bc5e89450
hex70e9fe1b4

30310130100 has 144 divisors (see below), whose sum is σ = 90831686400. Its totient is φ = 7794501120.

The previous prime is 30310130083. The next prime is 30310130101. The reversal of 30310130100 is 103101303.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30310130101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9716341 + ... + 9719459.

It is an arithmetic number, because the mean of its divisors is an integer number (630775600).

Almost surely, 230310130100 is an apocalyptic number.

30310130100 is a gapful number since it is divisible by the number (30) 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 30310130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45415843200).

30310130100 is an abundant number, since it is smaller than the sum of its proper divisors (60521556300).

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

30310130100 is a wasteful number, since it uses less digits than its factorization.

30310130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 30310130100 its reverse (103101303), we get a palindrome (30413231403).

The spelling of 30310130100 in words is "thirty billion, three hundred ten million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1117 1450 1740 2175 2234 2900 3119 3351 4350 4468 5585 6238 6702 8700 9357 11170 12476 13404 15595 16755 18714 22340 27925 31190 32393 33510 37428 46785 55850 62380 64786 67020 77975 83775 90451 93570 97179 111700 129572 155950 161965 167550 180902 187140 194358 233925 271353 311900 323930 335100 361804 388716 452255 467850 485895 542706 647860 809825 904510 935700 971790 1085412 1356765 1619650 1809020 1943580 2261275 2429475 2713530 3239300 3483923 4522550 4858950 5427060 6783825 6967846 9045100 9717900 10451769 13567650 13935692 17419615 20903538 27135300 34839230 41807076 52258845 69678460 87098075 101033767 104517690 174196150 202067534 209035380 261294225 303101301 348392300 404135068 505168835 522588450 606202602 1010337670 1045176900 1212405204 1515506505 2020675340 2525844175 3031013010 5051688350 6062026020 7577532525 10103376700 15155065050 30310130100