Search a number
-
+
30116053800 = 23335273761353
BaseRepresentation
bin11100000011000011…
…101000001100101000
32212201211200001021000
4130003003220030220
5443134202210200
621500215315000
72114206143060
oct340303501450
985654601230
1030116053800
11118547aaa68
125a0597ba60
132abc439aa1
141659a183a0
15bb3e00300
hex7030e8328

30116053800 has 768 divisors, whose sum is σ = 124102771200. Its totient is φ = 6569164800.

The previous prime is 30116053787. The next prime is 30116053813. The reversal of 30116053800 is 835061103.

It is an interprime number because it is at equal distance from previous prime (30116053787) and next prime (30116053813).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 85314424 + ... + 85314776.

It is an arithmetic number, because the mean of its divisors is an integer number (161592150).

Almost surely, 230116053800 is an apocalyptic number.

30116053800 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 30116053800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62051385600).

30116053800 is an abundant number, since it is smaller than the sum of its proper divisors (93986717400).

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

30116053800 is a wasteful number, since it uses less digits than its factorization.

30116053800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 30116053800 in words is "thirty billion, one hundred sixteen million, fifty-three thousand, eight hundred".