Search a number
-
+
213220020312 = 2332131713399951
BaseRepresentation
bin1100011010010011100…
…1110101000001011000
3202101100200002022002100
43012210321311001120
511443133311122222
6241541341003400
721255535161165
oct3064471650130
9671320068070
10213220020312
1182476163122
12353a6b53560
13171501678c0
14a469b6106c
15582dd874ac
hex31a4e75058

213220020312 has 96 divisors (see below), whose sum is σ = 658473641280. Its totient is φ = 61746969600.

The previous prime is 213220020311. The next prime is 213220020313. The reversal of 213220020312 is 213020022312.

213220020312 is a `hidden beast` number, since 2 + 132 + 200 + 20 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (213220020311) and next prime (213220020313).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213220020311) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6684064 + ... + 6715887.

It is an arithmetic number, because the mean of its divisors is an integer number (6859100430).

Almost surely, 2213220020312 is an apocalyptic number.

It is an amenable number.

213220020312 is an abundant number, since it is smaller than the sum of its proper divisors (445253620968).

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

213220020312 is a wasteful number, since it uses less digits than its factorization.

213220020312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13399993 (or 13399986 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213220020312 its reverse (213020022312), we get a palindrome (426240042624).

It can be divided in two parts, 2132200 and 20312, that added together give a palindrome (2152512).

The spelling of 213220020312 in words is "two hundred thirteen billion, two hundred twenty million, twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 306 312 408 442 468 612 663 884 936 1224 1326 1768 1989 2652 3978 5304 7956 15912 13399951 26799902 40199853 53599804 80399706 107199608 120599559 160799412 174199363 227799167 241199118 321598824 348398726 455598334 482398236 522598089 683397501 696797452 911196668 964796472 1045196178 1366795002 1393594904 1567794267 1822393336 2050192503 2090392356 2733590004 2961389171 3135588534 4100385006 4180784712 5467180008 5922778342 6271177068 8200770012 8884167513 11845556684 12542354136 16401540024 17768335026 23691113368 26652502539 35536670052 53305005078 71073340104 106610010156 213220020312