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213211220012 = 22722373647893
BaseRepresentation
bin1100011010010001100…
…0010000100000101100
3202101100001112012100022
43012210120100200230
511443124033020022
6241540424221312
721255400316300
oct3064430204054
9671301465308
10213211220012
11824711a234a
12353a400a838
131714b3a611b
14a46890dd00
15582d1e9c42
hex31a461082c

213211220012 has 72 divisors (see below), whose sum is σ = 459113237856. Its totient is φ = 86205917952.

The previous prime is 213211220011. The next prime is 213211220017. The reversal of 213211220012 is 210022112312.

It is not an unprimeable number, because it can be changed into a prime (213211220011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5138 + ... + 653030.

It is an arithmetic number, because the mean of its divisors is an integer number (6376572748).

Almost surely, 2213211220012 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 213211220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229556618928).

213211220012 is an abundant number, since it is smaller than the sum of its proper divisors (245902017844).

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

213211220012 is a wasteful number, since it uses less digits than its factorization.

213211220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648007 (or 647998 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 213211220012 its reverse (210022112312), we get a palindrome (423233332324).

The spelling of 213211220012 in words is "two hundred thirteen billion, two hundred eleven million, two hundred twenty thousand, twelve".

Divisors: 1 2 4 7 14 23 28 46 49 73 92 98 146 161 196 292 322 511 644 1022 1127 1679 2044 2254 3358 3577 4508 6716 7154 11753 14308 23506 47012 82271 164542 329084 647893 1295786 2591572 4535251 9070502 14901539 18141004 29803078 31746757 47296189 59606156 63493514 94592378 104310773 126987028 189184756 208621546 331073323 417243092 662146646 730175411 1087812347 1324293292 1460350822 2175624694 2317513261 2920701644 4351249388 4635026522 7614686429 9270053044 15229372858 30458745716 53302805003 106605610006 213211220012