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213433212324 = 22327764209751
BaseRepresentation
bin1100011011000110011…
…1000101110110100100
3202101220112020120112210
43012301213011312210
511444102400243244
6242014434243420
721264034241223
oct3066147056644
9671815216483
10213433212324
1182575536472
1235446426570
1317185390617
14a48a1b8cba
15584294a4b9
hex31b19c5da4

213433212324 has 24 divisors (see below), whose sum is σ = 499808709568. Its totient is φ = 70887564000.

The previous prime is 213433212299. The next prime is 213433212371. The reversal of 213433212324 is 423212334312.

It is a happy number.

213433212324 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 2×2134332123242 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213433212291 and 213433212300.

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, 32101552 + ... + 32108199.

Almost surely, 2213433212324 is an apocalyptic number.

It is an amenable number.

213433212324 is an abundant number, since it is smaller than the sum of its proper divisors (286375497244).

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

213433212324 is a wasteful number, since it uses less digits than its factorization.

213433212324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64210035 (or 64210033 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 213433212324 its reverse (423212334312), we get a palindrome (636645546636).

The spelling of 213433212324 in words is "two hundred thirteen billion, four hundred thirty-three million, two hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 277 554 831 1108 1662 3324 64209751 128419502 192629253 256839004 385258506 770517012 17786101027 35572202054 53358303081 71144404108 106716606162 213433212324