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30324440100 = 22352831577757
BaseRepresentation
bin11100001111011110…
…100011110000100100
32220021100210011112010
4130033132203300210
5444101024040400
621533021554220
72122316326233
oct341736436044
986240704463
1030324440100
11119513a0749
125a63715970
132b2366c2a6
141679580b1a
15bc7364450
hex70f7a3c24

30324440100 has 144 divisors (see below), whose sum is σ = 89372904768. Its totient is φ = 7937180160.

The previous prime is 30324440087. The next prime is 30324440141. The reversal of 30324440100 is 104442303.

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, 3905422 + ... + 3913178.

It is an arithmetic number, because the mean of its divisors is an integer number (620645172).

Almost surely, 230324440100 is an apocalyptic number.

30324440100 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 30324440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44686452384).

30324440100 is an abundant number, since it is smaller than the sum of its proper divisors (59048464668).

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

30324440100 is a wasteful number, since it uses less digits than its factorization.

30324440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8014 (or 8007 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 30324440100 its reverse (104442303), we get a palindrome (30428882403).

The spelling of 30324440100 in words is "thirty billion, three hundred twenty-four million, four hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 157 166 249 300 314 332 415 471 498 628 785 830 942 996 1245 1570 1660 1884 2075 2355 2490 3140 3925 4150 4710 4980 6225 7757 7850 8300 9420 11775 12450 13031 15514 15700 23271 23550 24900 26062 31028 38785 39093 46542 47100 52124 65155 77570 78186 93084 116355 130310 155140 156372 193925 195465 232710 260620 325775 387850 390930 465420 581775 643831 651550 775700 781860 977325 1163550 1217849 1287662 1303100 1931493 1954650 2327100 2435698 2575324 3219155 3653547 3862986 3909300 4871396 6089245 6438310 7307094 7725972 9657465 12178490 12876620 14614188 16095775 18267735 19314930 24356980 30446225 32191550 36535470 38629860 48287325 60892450 64383100 73070940 91338675 96574650 101081467 121784900 182677350 193149300 202162934 303244401 365354700 404325868 505407335 606488802 1010814670 1212977604 1516222005 2021629340 2527036675 3032444010 5054073350 6064888020 7581110025 10108146700 15162220050 30324440100