Search a number
-
+
221210110112202 = 23241487336150713
BaseRepresentation
bin110010010011000001111110…
…000010001011000111001010
31002000020110221220202120212200
4302103001332002023013022
5212443301301142042302
62102250304403021030
764410621513514311
oct6223017602130712
91060213856676780
10221210110112202
116453675424a402
122098800236a776
1396580405bc213
143c8a8aadd3278
151a892b14be81c
hexc9307e08b1ca

221210110112202 has 48 divisors (see below), whose sum is σ = 490988691772488. Its totient is φ = 71936759324160.

The previous prime is 221210110112141. The next prime is 221210110112207. The reversal of 221210110112202 is 202211011012122.

221210110112202 is a `hidden beast` number, since 221 + 21 + 0 + 110 + 112 + 202 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 131276391523281 + 89933718588921 = 11457591^2 + 9483339^2 .

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

It is not an unprimeable number, because it can be changed into a prime (221210110112207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32889598 + ... + 39040310.

Almost surely, 2221210110112202 is an apocalyptic number.

221210110112202 is an abundant number, since it is smaller than the sum of its proper divisors (269778581660286).

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

221210110112202 is a wasteful number, since it uses less digits than its factorization.

221210110112202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6199495 (or 6199492 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221210110112202 its reverse (202211011012122), we get a palindrome (423421121124324).

The spelling of 221210110112202 in words is "two hundred twenty-one trillion, two hundred ten billion, one hundred ten million, one hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 48733 97466 146199 292398 438597 877194 1998053 3996106 5994159 6150713 11988318 12301426 17982477 18452139 35964954 36904278 55356417 110712834 252179233 504358466 756537699 1513075398 2269613097 4539226194 299742696629 599485393258 899228089887 1798456179774 2697684269661 5395368539322 12289450561789 24578901123578 36868351685367 73736703370734 110605055056101 221210110112202