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213141120210 = 23255344683673
BaseRepresentation
bin1100011010000000110…
…0110110010011010010
3202101011011121202111100
43012200030312103102
511443003111321320
6241525441525230
721253556425554
oct3064014662322
9671134552440
10213141120210
1182435673327
1235384643816
1317139a01055
14a45d4a34d4
155826e9e790
hex31a03364d2

213141120210 has 48 divisors (see below), whose sum is σ = 564622904664. Its totient is φ = 55765222656.

The previous prime is 213141120209. The next prime is 213141120223. The reversal of 213141120210 is 12021141312.

213141120210 is a `hidden beast` number, since 21 + 3 + 1 + 411 + 20 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 208776800241 + 4364319969 = 456921^2 + 66063^2 .

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

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, 22337067 + ... + 22346606.

Almost surely, 2213141120210 is an apocalyptic number.

213141120210 is an abundant number, since it is smaller than the sum of its proper divisors (351481784454).

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

213141120210 is a wasteful number, since it uses less digits than its factorization.

213141120210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44683739 (or 44683736 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 213141120210 its reverse (12021141312), we get a palindrome (225162261522).

The spelling of 213141120210 in words is "two hundred thirteen billion, one hundred forty-one million, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4770 44683673 89367346 134051019 223418365 268102038 402153057 446836730 670255095 804306114 1340510190 2010765285 2368234669 4021530570 4736469338 7104704007 11841173345 14209408014 21314112021 23682346690 35523520035 42628224042 71047040070 106570560105 213141120210