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320021034112 = 2713192320333
BaseRepresentation
bin1001010100000101011…
…11010111010010000000
31010121000211000221101001
410222002233113102000
520220400341042422
6403003213221344
732056263623233
oct4520257272200
91117024027331
10320021034112
111137a159258a
1252032491854
132424098c560
14116bc14141a
1584d01d2227
hex4a82bd7480

320021034112 has 32 divisors (see below), whose sum is σ = 686583592380. Its totient is φ = 147702014976.

The previous prime is 320021034103. The next prime is 320021034119. The reversal of 320021034112 is 211430120023.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 320021015616 + 18496 = 565704^2 + 136^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×3200210341122 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 320021034112.

It is not an unprimeable number, because it can be changed into a prime (320021034119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 96158503 + ... + 96161830.

Almost surely, 2320021034112 is an apocalyptic number.

320021034112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

320021034112 is an abundant number, since it is smaller than the sum of its proper divisors (366562558268).

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

320021034112 is a wasteful number, since it uses less digits than its factorization.

320021034112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192320360 (or 192320348 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 320021034112 its reverse (211430120023), we get a palindrome (531451154135).

The spelling of 320021034112 in words is "three hundred twenty billion, twenty-one million, thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 192320333 384640666 769281332 1538562664 2500164329 3077125328 5000328658 6154250656 10000657316 12308501312 20001314632 24617002624 40002629264 80005258528 160010517056 320021034112