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30031122312 = 23322571622953
BaseRepresentation
bin11011111101111111…
…101000111110001000
32212111220212002011100
4123331333220332020
5443000431403222
621443543101400
72112125220312
oct337577507610
985456762140
1030031122312
1111810870754
1259a1441860
132aa7970b79
14164c62a7b2
15bab7254ac
hex6fdfe8f88

30031122312 has 48 divisors (see below), whose sum is σ = 81650815740. Its totient is φ = 9971417088.

The previous prime is 30031122283. The next prime is 30031122313. The reversal of 30031122312 is 21322113003.

30031122312 is a `hidden beast` number, since 300 + 31 + 1 + 22 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19713844836 + 10317277476 = 140406^2 + 101574^2 .

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

It is not an unprimeable number, because it can be changed into a prime (30031122313) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 792973 + ... + 829980.

Almost surely, 230031122312 is an apocalyptic number.

It is an amenable number.

30031122312 is an abundant number, since it is smaller than the sum of its proper divisors (51619693428).

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

30031122312 is a wasteful number, since it uses less digits than its factorization.

30031122312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623222 (or 1623215 counting only the distinct ones).

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

Adding to 30031122312 its reverse (21322113003), we get a palindrome (51353235315).

The spelling of 30031122312 in words is "thirty billion, thirty-one million, one hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 257 514 771 1028 1542 2056 2313 3084 4626 6168 9252 18504 1622953 3245906 4868859 6491812 9737718 12983624 14606577 19475436 29213154 38950872 58426308 116852616 417098921 834197842 1251296763 1668395684 2502593526 3336791368 3753890289 5005187052 7507780578 10010374104 15015561156 30031122312