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30042263100 = 22352591739811
BaseRepresentation
bin11011111110101010…
…001000111000111100
32212112200211002110010
4123332222020320330
5443011304404400
621445021543220
72112322010613
oct337652107074
985480732403
1030042263100
111181708aa13
1259a5114b10
132aaa071a55
14164dcca87a
15bac6c6450
hex6fea88e3c

30042263100 has 144 divisors (see below), whose sum is σ = 88915559040. Its totient is φ = 7829164800.

The previous prime is 30042263063. The next prime is 30042263149. The reversal of 30042263100 is 136224003.

It is a happy number.

It is a super-2 number, since 2×300422631002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 3057195 + ... + 3067005.

It is an arithmetic number, because the mean of its divisors is an integer number (617469160).

Almost surely, 230042263100 is an apocalyptic number.

30042263100 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 30042263100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44457779520).

30042263100 is an abundant number, since it is smaller than the sum of its proper divisors (58873295940).

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

30042263100 is a wasteful number, since it uses less digits than its factorization.

30042263100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10060 (or 10053 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 30042263100 its reverse (136224003), we get a palindrome (30178487103).

The spelling of 30042263100 in words is "thirty billion, forty-two million, two hundred sixty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 173 177 236 295 300 346 354 519 590 692 708 865 885 1038 1180 1475 1730 1770 2076 2595 2950 3460 3540 4325 4425 5190 5900 8650 8850 9811 10207 10380 12975 17300 17700 19622 20414 25950 29433 30621 39244 40828 49055 51035 51900 58866 61242 98110 102070 117732 122484 147165 153105 196220 204140 245275 255175 294330 306210 490550 510350 578849 588660 612420 735825 765525 981100 1020700 1157698 1471650 1531050 1697303 1736547 2315396 2894245 2943300 3062100 3394606 3473094 5091909 5788490 6789212 6946188 8486515 8682735 10183818 11576980 14471225 16973030 17365470 20367636 25459545 28942450 33946060 34730940 42432575 43413675 50919090 57884900 84865150 86827350 100140877 101838180 127297725 169730300 173654700 200281754 254595450 300422631 400563508 500704385 509190900 600845262 1001408770 1201690524 1502113155 2002817540 2503521925 3004226310 5007043850 6008452620 7510565775 10014087700 15021131550 30042263100