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211230120 = 233512371423
BaseRepresentation
bin11001001011100…
…01110110101000
3112201110121020210
430211301312220
5413033330440
632543221120
75143266153
oct1445616650
9481417223
10211230120
11a9263352
125a8a77a0
13349b9a4a
14200a6c9a
1513826a80
hexc971da8

211230120 has 64 divisors (see below), whose sum is σ = 634648320. Its totient is φ = 56242944.

The previous prime is 211230101. The next prime is 211230127. The reversal of 211230120 is 21032112.

211230120 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 211230096 and 211230105.

It is not an unprimeable number, because it can be changed into a prime (211230127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147729 + ... + 149151.

It is an arithmetic number, because the mean of its divisors is an integer number (9916380).

Almost surely, 2211230120 is an apocalyptic number.

211230120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211230120 is an abundant number, since it is smaller than the sum of its proper divisors (423418200).

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

211230120 is a wasteful number, since it uses less digits than its factorization.

211230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 211230120 is about 14533.7579448675. The cubic root of 211230120 is about 595.5505296990.

Adding to 211230120 its reverse (21032112), we get a palindrome (232262232).

The spelling of 211230120 in words is "two hundred eleven million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1237 1423 2474 2846 3711 4269 4948 5692 6185 7115 7422 8538 9896 11384 12370 14230 14844 17076 18555 21345 24740 28460 29688 34152 37110 42690 49480 56920 74220 85380 148440 170760 1760251 3520502 5280753 7041004 8801255 10561506 14082008 17602510 21123012 26403765 35205020 42246024 52807530 70410040 105615060 211230120