Search a number
-
+
31201222320212 = 22721717354127817
BaseRepresentation
bin1110001100000100110011…
…10001011110000001010100
311002110210210211102011120112
413012002121301132001110
513042200100403221322
6150205351010222152
76400133242552100
oct706023161360124
9132423724364515
1031201222320212
119a3a40064943a
1235bb00a284958
131454355034949
1479c20bd74900
15391936e5d5e2
hex1c6099c5e054

31201222320212 has 72 divisors (see below), whose sum is σ = 67641802064424. Its totient is φ = 12512618969088.

The previous prime is 31201222320211. The next prime is 31201222320223. The reversal of 31201222320212 is 21202322210213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20907609930256 + 10293612389956 = 4572484^2 + 3208366^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31201222320211) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 26487473 + ... + 27640344.

It is an arithmetic number, because the mean of its divisors is an integer number (939469473117).

Almost surely, 231201222320212 is an apocalyptic number.

It is an amenable number.

31201222320212 is an abundant number, since it is smaller than the sum of its proper divisors (36440579744212).

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

31201222320212 is a wasteful number, since it uses less digits than its factorization.

31201222320212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54128025 (or 54128016 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 31201222320212 its reverse (21202322210213), we get a palindrome (52403544530425).

The spelling of 31201222320212 in words is "thirty-one trillion, two hundred one billion, two hundred twenty-two million, three hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 173 196 238 346 476 692 833 1211 1666 2422 2941 3332 4844 5882 8477 11764 16954 20587 33908 41174 82348 144109 288218 576436 54127817 108255634 216511268 378894719 757789438 920172889 1515578876 1840345778 2652263033 3680691556 5304526066 6441210223 9364112341 10609052132 12882420446 18728224682 25764840892 37456449364 45088471561 65548786387 90176943122 131097572774 159189909797 180353886244 262195145548 318379819594 458841504709 636759639188 917683009418 1114329368579 1835366018836 2228658737158 4457317474316 7800305580053 15600611160106 31201222320212