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210132420234 = 231117353530549
BaseRepresentation
bin1100001110110011011…
…1100100011010001010
3202002101111012222000220
43003230313210122022
511420322344421414
6240311123010510
721116164046532
oct3035467443212
9662344188026
10210132420234
1181131300520
1234884b09a36
1316a7a5918c9
14a255a744c2
1556ecc8cca9
hex30ecde468a

210132420234 has 64 divisors (see below), whose sum is σ = 486815702400. Its totient is φ = 59760926720.

The previous prime is 210132420233. The next prime is 210132420257. The reversal of 210132420234 is 432024231012.

It is a happy number.

210132420234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2101324202342 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (210132420233) 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 31 ways as a sum of consecutive naturals, for example, 130792 + ... + 661340.

It is an arithmetic number, because the mean of its divisors is an integer number (7606495350).

Almost surely, 2210132420234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210132420234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243407851200).

210132420234 is an abundant number, since it is smaller than the sum of its proper divisors (276683282166).

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

210132420234 is a wasteful number, since it uses less digits than its factorization.

210132420234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530935.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 210132420234 its reverse (432024231012), we get a palindrome (642156651246).

The spelling of 210132420234 in words is "two hundred ten billion, one hundred thirty-two million, four hundred twenty thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 353 374 561 706 1059 1122 2118 3883 6001 7766 11649 12002 18003 23298 36006 66011 132022 198033 396066 530549 1061098 1591647 3183294 5836039 9019333 11672078 17508117 18038666 27057999 35016234 54115998 99212663 187283797 198425326 297637989 374567594 561851391 595275978 1123702782 2060121767 3183824549 4120243534 6180365301 6367649098 9551473647 12360730602 19102947294 35022070039 70044140078 105066210117 210132420234