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30204421100 = 225272313114321
BaseRepresentation
bin11100001000010100…
…101110001111101100
32212221222221120101222
4130020110232033230
5443324312433400
621513053322512
72116331225510
oct341024561754
985858846358
1030204421100
111189a676697
125a2b496438
132b04839829
14166765c140
15bbba58185
hex70852e3ec

30204421100 has 144 divisors (see below), whose sum is σ = 78765958656. Its totient is φ = 9829248000.

The previous prime is 30204421003. The next prime is 30204421133. The reversal of 30204421100 is 112440203.

It is a super-2 number, since 2×302044211002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2101940 + ... + 2116260.

It is an arithmetic number, because the mean of its divisors is an integer number (546985824).

Almost surely, 230204421100 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 30204421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39382979328).

30204421100 is an abundant number, since it is smaller than the sum of its proper divisors (48561537556).

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

30204421100 is a wasteful number, since it uses less digits than its factorization.

30204421100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14496 (or 14489 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 30204421100 its reverse (112440203), we get a palindrome (30316861303).

The spelling of 30204421100 in words is "thirty billion, two hundred four million, four hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 131 140 161 175 230 262 322 350 460 524 575 644 655 700 805 917 1150 1310 1610 1834 2300 2620 3013 3220 3275 3668 4025 4585 6026 6550 8050 9170 12052 13100 14321 15065 16100 18340 21091 22925 28642 30130 42182 45850 57284 60260 71605 75325 84364 91700 100247 105455 143210 150650 200494 210910 286420 301300 329383 358025 400988 421820 501235 527275 658766 716050 1002470 1054550 1317532 1432100 1646915 1876051 2004940 2109100 2305681 2506175 3293830 3752102 4611362 5012350 6587660 7504204 8234575 9222724 9380255 10024700 11528405 13132357 16469150 18760510 23056810 26264714 32938300 37521020 43149173 46113620 46901275 52529428 57642025 65661785 86298346 93802550 115284050 131323570 172596692 187605100 215745865 230568100 262647140 302044211 328308925 431491730 604088422 656617850 862983460 1078729325 1208176844 1313235700 1510221055 2157458650 3020442110 4314917300 6040884220 7551105275 15102210550 30204421100