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30121433132 = 22729472633001
BaseRepresentation
bin11100000011011000…
…001001100000101100
32212202012210100022112
4130003120021200230
5443142041330012
621500530503152
72114302646210
oct340330114054
985665710275
1030121433132
111185784459a
125a07734ab8
132ac05a141b
14165a618940
15bb4614122
hex70360982c

30121433132 has 96 divisors (see below), whose sum is σ = 63909457920. Its totient is φ = 12148416000.

The previous prime is 30121433129. The next prime is 30121433203. The reversal of 30121433132 is 23133412103.

It is a junction number, because it is equal to n+sod(n) for n = 30121433098 and 30121433107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10035632 + ... + 10038632.

It is an arithmetic number, because the mean of its divisors is an integer number (665723520).

Almost surely, 230121433132 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 30121433132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31954728960).

30121433132 is an abundant number, since it is smaller than the sum of its proper divisors (33788024788).

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

30121433132 is a wasteful number, since it uses less digits than its factorization.

30121433132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 30121433132 its reverse (23133412103), we get a palindrome (53254845235).

The spelling of 30121433132 in words is "thirty billion, one hundred twenty-one million, four hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 47 58 94 116 188 203 263 329 406 526 658 812 1052 1316 1363 1841 2726 3001 3682 5452 6002 7364 7627 9541 12004 12361 15254 19082 21007 24722 30508 38164 42014 49444 53389 84028 86527 87029 106778 141047 173054 174058 213556 282094 346108 348116 358469 564188 609203 716938 789263 987329 1218406 1433876 1578526 1974658 2436812 2509283 3157052 3949316 4090363 5018566 5524841 8180726 10037132 11049682 16361452 22099364 22888627 28632541 37095361 45777254 57265082 74190722 91554508 114530164 148381444 160220389 259667527 320440778 519335054 640881556 1038670108 1075765469 2151530938 4303061876 7530358283 15060716566 30121433132