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30432001200 = 2435225499949
BaseRepresentation
bin11100010101111000…
…110111110010110000
32220112212011211121120
4130111320313302300
5444311043014300
621551423222240
72125063512366
oct342570676260
986485154546
1030432001200
11119a7086a17
125a93747980
132b3ca2c503
14168997d636
15bd1a0e3a0
hex715e37cb0

30432001200 has 120 divisors (see below), whose sum is σ = 97531890000. Its totient is φ = 8111201280.

The previous prime is 30432001091. The next prime is 30432001207. The reversal of 30432001200 is 210023403.

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

It is a super-2 number, since 2×304320012002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30432001200.

It is not an unprimeable number, because it can be changed into a prime (30432001207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3053826 + ... + 3063774.

It is an arithmetic number, because the mean of its divisors is an integer number (812765750).

Almost surely, 230432001200 is an apocalyptic number.

30432001200 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 30432001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48765945000).

30432001200 is an abundant number, since it is smaller than the sum of its proper divisors (67099888800).

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

30432001200 is a wasteful number, since it uses less digits than its factorization.

30432001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12519 (or 12508 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 30432001200 its reverse (210023403), we get a palindrome (30642024603).

The spelling of 30432001200 in words is "thirty billion, four hundred thirty-two million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 2549 5098 7647 9949 10196 12745 15294 19898 20392 25490 29847 30588 38235 39796 40784 49745 50980 59694 61176 63725 76470 79592 99490 101960 119388 122352 127450 149235 152940 159184 191175 198980 203920 238776 248725 254900 298470 305880 382350 397960 477552 497450 509800 596940 611760 746175 764700 795920 994900 1019600 1193880 1492350 1529400 1989800 2387760 2984700 3058800 3979600 5969400 11938800 25360001 50720002 76080003 101440004 126800005 152160006 202880008 253600010 304320012 380400015 405760016 507200020 608640024 634000025 760800030 1014400040 1217280048 1268000050 1521600060 1902000075 2028800080 2536000100 3043200120 3804000150 5072000200 6086400240 7608000300 10144000400 15216000600 30432001200