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30114145200 = 2435229865349
BaseRepresentation
bin11100000010111100…
…010110001110110000
32212201201002002011010
4130002330112032300
5443133210121300
621500110350520
72114154003456
oct340274261660
985651062133
1030114145200
1111853717007
125a051bb440
132abbc1c139
14165967c9d6
15bb3b74a50
hex702f163b0

30114145200 has 120 divisors (see below), whose sum is σ = 99792162000. Its totient is φ = 7753518080.

The previous prime is 30114145189. The next prime is 30114145231. The reversal of 30114145200 is 254141103.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×301141452002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397875 + ... + 467474.

It is an arithmetic number, because the mean of its divisors is an integer number (831601350).

Almost surely, 230114145200 is an apocalyptic number.

30114145200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30114145200 is an abundant number, since it is smaller than the sum of its proper divisors (69678016800).

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

30114145200 is a wasteful number, since it uses less digits than its factorization.

30114145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865399 (or 865388 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 30114145200 its reverse (254141103), we get a palindrome (30368286303).

The spelling of 30114145200 in words is "thirty billion, one hundred fourteen million, one hundred forty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 145 150 174 200 232 240 290 300 348 400 435 464 580 600 696 725 870 1160 1200 1392 1450 1740 2175 2320 2900 3480 4350 5800 6960 8700 11600 17400 34800 865349 1730698 2596047 3461396 4326745 5192094 6922792 8653490 10384188 12980235 13845584 17306980 20768376 21633725 25095121 25960470 34613960 41536752 43267450 50190242 51920940 64901175 69227920 75285363 86534900 100380484 103841880 125475605 129802350 150570726 173069800 200760968 207683760 250951210 259604700 301141452 346139600 376426815 401521936 501902420 519209400 602282904 627378025 752853630 1003804840 1038418800 1204565808 1254756050 1505707260 1882134075 2007609680 2509512100 3011414520 3764268150 5019024200 6022829040 7528536300 10038048400 15057072600 30114145200