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30053821900 = 22521949931699
BaseRepresentation
bin11011111111010110…
…001110110111001100
32212120111120100010211
4123333112032313030
5443022234300100
621450113412204
72112522162004
oct337726166714
985514510124
1030053821900
1111822665243
1259a8b6a064
132aac58ac8b
141651659004
15bad70b1ba
hex6ff58edcc

30053821900 has 72 divisors (see below), whose sum is σ = 68789000000. Its totient is φ = 11365634880.

The previous prime is 30053821873. The next prime is 30053821939. The reversal of 30053821900 is 912835003.

It is a happy number.

It is a super-2 number, since 2×300538219002 (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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 932251 + ... + 963949.

Almost surely, 230053821900 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 30053821900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34394500000).

30053821900 is an abundant number, since it is smaller than the sum of its proper divisors (38735178100).

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

30053821900 is a wasteful number, since it uses less digits than its factorization.

30053821900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32231 (or 32224 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 30053821900 in words is "thirty billion, fifty-three million, eight hundred twenty-one thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 499 950 998 1900 1996 2495 4990 9481 9980 12475 18962 24950 31699 37924 47405 49900 63398 94810 126796 158495 189620 237025 316990 474050 602281 633980 792475 948100 1204562 1584950 2409124 3011405 3169900 6022810 12045620 15057025 15817801 30114050 31635602 60228100 63271204 79089005 158178010 300538219 316356020 395445025 601076438 790890050 1202152876 1502691095 1581780100 3005382190 6010764380 7513455475 15026910950 30053821900