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312003032220 = 2233511731574583
BaseRepresentation
bin1001000101001001101…
…01000111010010011100
31002211100000202020112000
410202210311013102130
520102440234012340
6355155431442300
731353504005355
oct4424465072234
91084300666460
10312003032220
1111035763a040
1250575226390
13235637b5639
141115b30cd2c
1581b132cd30
hex48a4d4749c

312003032220 has 384 divisors, whose sum is σ = 1080497940480. Its totient is φ = 74109634560.

The previous prime is 312003032207. The next prime is 312003032249. The reversal of 312003032220 is 22230300213.

It is a happy number.

312003032220 is a `hidden beast` number, since 312 + 0 + 0 + 30 + 322 + 2 + 0 = 666.

It is a super-2 number, since 2×3120030322202 (a number of 24 digits) contains 22 as substring.

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 = 312003032193 and 312003032202.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 68076049 + ... + 68080631.

It is an arithmetic number, because the mean of its divisors is an integer number (2813796720).

Almost surely, 2312003032220 is an apocalyptic number.

312003032220 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 312003032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540248970240).

312003032220 is an abundant number, since it is smaller than the sum of its proper divisors (768494908260).

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

312003032220 is a wasteful number, since it uses less digits than its factorization.

312003032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4842 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 312003032220 its reverse (22230300213), we get a palindrome (334233332433).

The spelling of 312003032220 in words is "three hundred twelve billion, three million, thirty-two thousand, two hundred twenty".