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220311031320 = 23325611975087
BaseRepresentation
bin1100110100101110001…
…1111000111000011000
3210001122212001222111200
43031023203320320120
512102144111000240
6245113125554200
721626340603522
oct3151343707030
9701585058450
10220311031320
11854849196a6
1236845875960
1317a102879c3
14a93d80ca12
155ae667c930
hex334b8f8e18

220311031320 has 48 divisors (see below), whose sum is σ = 716010852960. Its totient is φ = 58749608256.

The previous prime is 220311031279. The next prime is 220311031333. The reversal of 220311031320 is 23130113022.

220311031320 is a `hidden beast` number, since 2 + 2 + 0 + 311 + 0 + 31 + 320 = 666.

220311031320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 220311031293 and 220311031302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 305987184 + ... + 305987903.

It is an arithmetic number, because the mean of its divisors is an integer number (14916892770).

Almost surely, 2220311031320 is an apocalyptic number.

220311031320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220311031320 is an abundant number, since it is smaller than the sum of its proper divisors (495699821640).

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

220311031320 is a wasteful number, since it uses less digits than its factorization.

220311031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611975104 (or 611975097 counting only the distinct ones).

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

Adding to 220311031320 its reverse (23130113022), we get a palindrome (243441144342).

The spelling of 220311031320 in words is "two hundred twenty billion, three hundred eleven million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 611975087 1223950174 1835925261 2447900348 3059875435 3671850522 4895800696 5507775783 6119750870 7343701044 9179626305 11015551566 12239501740 14687402088 18359252610 22031103132 24479003480 27538878915 36718505220 44062206264 55077757830 73437010440 110155515660 220311031320