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312201112320 = 283551003733
BaseRepresentation
bin1001000101100001010…
…00101110101100000000
31002211211211110202100000
410202300220232230000
520103341441043240
6355231225200000
731361430445356
oct4426050565400
91084754422300
10312201112320
111104494305a9
125060b630000
1323595849ab6
14111797517d6
1581c3908430
hex48b0a2eb00

312201112320 has 216 divisors, whose sum is σ = 1120191233616. Its totient is φ = 83253547008.

The previous prime is 312201112309. The next prime is 312201112331. The reversal of 312201112320 is 23211102213.

312201112320 is a `hidden beast` number, since 31 + 2 + 201 + 112 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (312201112309) and next prime (312201112331).

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a junction number, because it is equal to n+sod(n) for n = 312201112293 and 312201112302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190827 + ... + 812906.

It is an arithmetic number, because the mean of its divisors is an integer number (5186070526).

Almost surely, 2312201112320 is an apocalyptic number.

312201112320 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 312201112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560095616808).

312201112320 is an abundant number, since it is smaller than the sum of its proper divisors (807990121296).

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

312201112320 is an equidigital number, since it uses as much as digits as its factorization.

312201112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003769 (or 1003743 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312201112320 its reverse (23211102213), we get a palindrome (335412214533).

The spelling of 312201112320 in words is "three hundred twelve billion, two hundred one million, one hundred twelve thousand, three hundred twenty".