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211232480320 = 265660101501
BaseRepresentation
bin1100010010111001101…
…1111101110001000000
3202012020011011210210001
43010232123331301000
511430101003332240
6241012221045344
721155352313021
oct3045633756100
9665204153701
10211232480320
1181646256994
1234b313b6854
1316bc4463a34
14a31bbcac48
15576463689a
hex312e6fdc40

211232480320 has 28 divisors (see below), whose sum is σ = 502997344524. Its totient is φ = 84492992000.

The previous prime is 211232480311. The next prime is 211232480363. The reversal of 211232480320 is 23084232112.

211232480320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 58870287424 + 152362192896 = 242632^2 + 390336^2 .

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 3 ways as a sum of consecutive naturals, for example, 330050431 + ... + 330051070.

Almost surely, 2211232480320 is an apocalyptic number.

211232480320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211232480320 is an abundant number, since it is smaller than the sum of its proper divisors (291764864204).

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

211232480320 is an equidigital number, since it uses as much as digits as its factorization.

211232480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660101518 (or 660101508 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 211232480320 in words is "two hundred eleven billion, two hundred thirty-two million, four hundred eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 660101501 1320203002 2640406004 3300507505 5280812008 6601015010 10561624016 13202030020 21123248032 26404060040 42246496064 52808120080 105616240160 211232480320