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30202311312 = 2432373562301
BaseRepresentation
bin11100001000001100…
…101011001010010000
32212221211222101022200
4130020030223022100
5443323242430222
621512540203200
72116304260515
oct341014531220
985854871280
1030202311312
1111899465568
125a2a839500
132b0427b434
14166726d30c
15bbb78ceac
hex70832b290

30202311312 has 60 divisors (see below), whose sum is σ = 84751282044. Its totient is φ = 10040428800.

The previous prime is 30202311301. The next prime is 30202311323. The reversal of 30202311312 is 21311320203.

30202311312 is a `hidden beast` number, since 302 + 0 + 231 + 131 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (30202311301) and next prime (30202311323).

It can be written as a sum of positive squares in 2 ways, for example, as 18348327936 + 11853983376 = 135456^2 + 108876^2 .

It is a super-2 number, since 2×302023113122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 227439 + ... + 334862.

Almost surely, 230202311312 is an apocalyptic number.

It is an amenable number.

30202311312 is an abundant number, since it is smaller than the sum of its proper divisors (54548970732).

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

30202311312 is a wasteful number, since it uses less digits than its factorization.

30202311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562688 (or 562679 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30202311312 its reverse (21311320203), we get a palindrome (51513631515).

The spelling of 30202311312 in words is "thirty billion, two hundred two million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 373 746 1119 1492 2238 2984 3357 4476 5968 6714 8952 13428 17904 26856 53712 562301 1124602 1686903 2249204 3373806 4498408 5060709 6747612 8996816 10121418 13495224 20242836 26990448 40485672 80971344 209738273 419476546 629214819 838953092 1258429638 1677906184 1887644457 2516859276 3355812368 3775288914 5033718552 7550577828 10067437104 15101155656 30202311312