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213135022352 = 24717111940663
BaseRepresentation
bin1100011001111111010…
…1100101100100010000
3202101010202010221210202
43012133311211210100
511443000031203402
6241525103114332
721253453540550
oct3063765454420
9671122127722
10213135022352
118243218897a
12353825a29a8
1317138677655
14a45c757160
155826697b02
hex319fd65910

213135022352 has 40 divisors (see below), whose sum is σ = 499703124096. Its totient is φ = 85970428416.

The previous prime is 213135022343. The next prime is 213135022367. The reversal of 213135022352 is 253220531312.

213135022352 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-3 number, since 3×2131350223523 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 7 ways as a sum of consecutive naturals, for example, 55968428 + ... + 55972235.

Almost surely, 2213135022352 is an apocalyptic number.

It is an amenable number.

213135022352 is an abundant number, since it is smaller than the sum of its proper divisors (286568101744).

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

213135022352 is a wasteful number, since it uses less digits than its factorization.

213135022352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111940695 (or 111940689 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 213135022352 its reverse (253220531312), we get a palindrome (466355553664).

The spelling of 213135022352 in words is "two hundred thirteen billion, one hundred thirty-five million, twenty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 111940663 223881326 447762652 783584641 895525304 1567169282 1791050608 1902991271 3134338564 3805982542 6268677128 7611965084 12537354256 13320938897 15223930168 26641877794 30447860336 53283755588 106567511176 213135022352