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30002011312 = 24713139148243
BaseRepresentation
bin11011111100010000…
…100101110010110000
32212102220002002101011
4123330100211302300
5442421003330222
621441023120304
72111322613510
oct337420456260
985386062334
1030002011312
11117a6398179
125993743094
132aa191a720
14164880d840
15ba8dc4c77
hex6fc425cb0

30002011312 has 80 divisors (see below), whose sum is σ = 72058443520. Its totient is φ = 11783460096.

The previous prime is 30002011309. The next prime is 30002011321. The reversal of 30002011312 is 21311020003.

It is a super-2 number, since 2×300020113122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 30002011292 and 30002011301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128263 + ... + 276505.

It is an arithmetic number, because the mean of its divisors is an integer number (900730544).

Almost surely, 230002011312 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 30002011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36029221760).

30002011312 is an abundant number, since it is smaller than the sum of its proper divisors (42056432208).

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

30002011312 is a wasteful number, since it uses less digits than its factorization.

30002011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148410 (or 148404 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 30002011312 its reverse (21311020003), we get a palindrome (51313031315).

The spelling of 30002011312 in words is "thirty billion, two million, eleven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 139 182 208 278 364 556 728 973 1112 1456 1807 1946 2224 3614 3892 7228 7784 12649 14456 15568 25298 28912 50596 101192 148243 202384 296486 592972 1037701 1185944 1927159 2075402 2371888 3854318 4150804 7708636 8301608 13490113 15417272 16603216 20605777 26980226 30834544 41211554 53960452 82423108 107920904 144240439 164846216 215841808 267875101 288480878 329692432 535750202 576961756 1071500404 1153923512 1875125707 2143000808 2307847024 3750251414 4286001616 7500502828 15001005656 30002011312