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30023310100 = 22527791673251
BaseRepresentation
bin11011111101100001…
…110101101100010100
32212111101011011211011
4123331201311230110
5442441431410400
621443103422004
72112001632220
oct337541655424
985441134734
1030023310100
1111807415283
12599a8b4904
132aa6167064
14164b595780
15baabd08ba
hex6fd875b14

30023310100 has 144 divisors (see below), whose sum is σ = 75875143680. Its totient is φ = 10099440000.

The previous prime is 30023310089. The next prime is 30023310101. The reversal of 30023310100 is 101332003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30023310101) 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, 9233475 + ... + 9236725.

It is an arithmetic number, because the mean of its divisors is an integer number (526910720).

Almost surely, 230023310100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30023310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37937571840).

30023310100 is an abundant number, since it is smaller than the sum of its proper divisors (45851833580).

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

30023310100 is a wasteful number, since it uses less digits than its factorization.

30023310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3518 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 30023310100 its reverse (101332003), we get a palindrome (30124642103).

The spelling of 30023310100 in words is "thirty billion, twenty-three million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 79 100 140 158 167 175 316 334 350 395 553 668 700 790 835 1106 1169 1580 1670 1975 2212 2338 2765 3251 3340 3950 4175 4676 5530 5845 6502 7900 8350 11060 11690 13004 13193 13825 16255 16700 22757 23380 26386 27650 29225 32510 45514 52772 55300 58450 65020 65965 81275 91028 92351 113785 116900 131930 162550 184702 227570 256829 263860 325100 329825 369404 455140 461755 513658 542917 568925 659650 923510 1027316 1085834 1137850 1284145 1319300 1797803 1847020 2171668 2275700 2308775 2568290 2714585 3595606 3800419 4617550 5136580 5429170 6420725 7191212 7600838 8989015 9235100 10858340 12841450 13572925 15201676 17978030 19002095 25682900 27145850 35956060 38004190 42890443 44945075 54291700 76008380 85780886 89890150 95010475 171561772 179780300 190020950 214452215 300233101 380041900 428904430 600466202 857808860 1072261075 1200932404 1501165505 2144522150 3002331010 4289044300 6004662020 7505827525 15011655050 30023310100