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1230211230210 = 2325101990113669
BaseRepresentation
bin10001111001101110010…
…011011010101000000010
311100121101112110121201200
4101321232103122220002
5130123433033331320
62341052400042030
7154610531631264
oct21715623325002
94317345417650
101230211230210
11434803193546
1217a50b303316
138c0156698a1
1443784a39b34
152200213b290
hex11e6e4daa02

1230211230210 has 96 divisors (see below), whose sum is σ = 3230780595120. Its totient is φ = 324751680000.

The previous prime is 1230211230203. The next prime is 1230211230247. The reversal of 1230211230210 is 120321120321.

1230211230210 is a `hidden beast` number, since 12 + 3 + 0 + 211 + 230 + 210 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1206902185281 + 23309044929 = 1098591^2 + 152673^2 .

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

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 89993256 + ... + 90006924.

Almost surely, 21230211230210 is an apocalyptic number.

1230211230210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230211230210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615390297560).

1230211230210 is an abundant number, since it is smaller than the sum of its proper divisors (2000569364910).

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

1230211230210 is a wasteful number, since it uses less digits than its factorization.

1230211230210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23684 (or 23681 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1230211230210 its reverse (120321120321), we get a palindrome (1350532350531).

The spelling of 1230211230210 in words is "one trillion, two hundred thirty billion, two hundred eleven million, two hundred thirty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 9901 13669 19802 27338 29703 41007 49505 59406 68345 82014 89109 99010 123021 136690 148515 178218 205035 246042 297030 410070 445545 615105 891090 1000001 1230210 1380569 2000002 2761138 3000003 4141707 5000005 6000006 6902845 8283414 9000009 10000010 12425121 13805690 15000015 18000018 20708535 24850242 30000030 41417070 45000045 62125605 90000090 124251210 135336769 270673538 406010307 676683845 812020614 1218030921 1353367690 2030051535 2436061842 4060103070 6090154605 12180309210 13669013669 27338027338 41007041007 68345068345 82014082014 123021123021 136690136690 205035205035 246042246042 410070410070 615105615105 1230211230210