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213102220104 = 233217174103121
BaseRepresentation
bin1100011001110111100…
…0011101001101001000
3202101001110102102120200
43012131320131031020
511442413132020404
6241521532052200
721252604661304
oct3063570351510
9671043372520
10213102220104
1182415714084
1235373604060
1317131931037
14a458258d04
155823868839
hex319de1d348

213102220104 has 48 divisors (see below), whose sum is σ = 611101958220. Its totient is φ = 66855598080.

The previous prime is 213102220039. The next prime is 213102220109. The reversal of 213102220104 is 401022201312.

It is a happy number.

213102220104 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 201717756900 + 11384463204 = 449130^2 + 106698^2 .

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

It is not an unprimeable number, because it can be changed into a prime (213102220109) by changing a digit.

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, 87050337 + ... + 87052784.

Almost surely, 2213102220104 is an apocalyptic number.

213102220104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213102220104 is an abundant number, since it is smaller than the sum of its proper divisors (397999738116).

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

213102220104 is a wasteful number, since it uses less digits than its factorization.

213102220104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174103150 (or 174103143 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 213102220104 its reverse (401022201312), we get a palindrome (614124421416).

The spelling of 213102220104 in words is "two hundred thirteen billion, one hundred two million, two hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 174103121 348206242 522309363 696412484 1044618726 1392824968 1566928089 2089237452 2959753057 3133856178 4178474904 5919506114 6267712356 8879259171 11839012228 12535424712 17758518342 23678024456 26637777513 35517036684 53275555026 71034073368 106551110052 213102220104