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213401142 = 235577761
BaseRepresentation
bin11001011100000…
…11111000110110
3112212112220100000
430232003320312
5414112314032
633101532130
75200610523
oct1456037066
9485486300
10213401142
11aa506489
125b574046
1335299c86
14204b014a
1513b04e7c
hexcb83e36

213401142 has 48 divisors (see below), whose sum is σ = 480956112. Its totient is φ = 70917120.

The previous prime is 213401137. The next prime is 213401143. The reversal of 213401142 is 241104312.

213401142 is digitally balanced in base 3, 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213401143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280042 + ... + 280802.

It is an arithmetic number, because the mean of its divisors is an integer number (10019919).

Almost surely, 2213401142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213401142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240478056).

213401142 is an abundant number, since it is smaller than the sum of its proper divisors (267554970).

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

213401142 is an equidigital number, since it uses as much as digits as its factorization.

213401142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1343 counting only the distinct ones).

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

The square root of 213401142 is about 14608.2559533984. The cubic root of 213401142 is about 597.5839341014.

Adding to 213401142 its reverse (241104312), we get a palindrome (454505454).

The spelling of 213401142 in words is "two hundred thirteen million, four hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 577 761 1154 1522 1731 2283 3462 4566 5193 6849 10386 13698 15579 20547 31158 41094 46737 61641 93474 123282 140211 184923 280422 369846 439097 878194 1317291 2634582 3951873 7903746 11855619 23711238 35566857 71133714 106700571 213401142