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211213310232 = 233411873114601
BaseRepresentation
bin1100010010110101001…
…0110101100100011000
3202012011211002212100210
43010231102311210120
511430031101411412
6241010254131120
721155030341401
oct3045522654430
9665154085323
10211213310232
1181636453141
1234b26ab0aa0
1316bc04b12a2
14a31943a9a8
155762aeb83c
hex312d4b5918

211213310232 has 64 divisors (see below), whose sum is σ = 541205652960. Its totient is φ = 68649984000.

The previous prime is 211213310213. The next prime is 211213310249. The reversal of 211213310232 is 232013312112.

211213310232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112133102322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211213310199 and 211213310208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1785732 + ... + 1900332.

Almost surely, 2211213310232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211213310232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270602826480).

211213310232 is an abundant number, since it is smaller than the sum of its proper divisors (329992342728).

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

211213310232 is a wasteful number, since it uses less digits than its factorization.

211213310232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116524 (or 116520 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211213310232 its reverse (232013312112), we get a palindrome (443226622344).

The spelling of 211213310232 in words is "two hundred eleven billion, two hundred thirteen million, three hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 1873 3746 5619 7492 11238 14984 22476 44952 76793 114601 153586 229202 230379 307172 343803 458404 460758 614344 687606 916808 921516 1375212 1843032 2750424 4698641 9397282 14095923 18794564 28191846 37589128 56383692 112767384 214647673 429295346 643943019 858590692 1287886038 1717181384 2575772076 5151544152 8800554593 17601109186 26401663779 35202218372 52803327558 70404436744 105606655116 211213310232