Search a number
-
+
21100222202112 = 28329158082553
BaseRepresentation
bin1001100110000110001110…
…01111111100000100000000
32202201011100202122022101100
410303003013033330010000
510231201223340431422
6112513150330134400
74305304114313664
oct463030717740400
982634322568340
1021100222202112
1167a5610395839
122449445881400
13ba098611ab41
1452d3830468a4
15268cea0c97ac
hex1330c73fc100

21100222202112 has 54 divisors (see below), whose sum is σ = 60837142406222. Its totient is φ = 7033407399936.

The previous prime is 21100222202093. The next prime is 21100222202113. The reversal of 21100222202112 is 21120222200112.

It is a happy number.

21100222202112 is a `hidden beast` number, since 211 + 0 + 0 + 22 + 220 + 211 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19965025714176 + 1135196487936 = 4468224^2 + 1065456^2 .

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 (21100222202113) 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 5 ways as a sum of consecutive naturals, for example, 4579038973 + ... + 4579043580.

Almost surely, 221100222202112 is an apocalyptic number.

It is an amenable number.

21100222202112 is an abundant number, since it is smaller than the sum of its proper divisors (39736920204110).

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

21100222202112 is an equidigital number, since it uses as much as digits as its factorization.

21100222202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9158082575 (or 9158082558 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21100222202112 its reverse (21120222200112), we get a palindrome (42220444402224).

It can be divided in two parts, 2110022 and 2202112, that added together give a palindrome (4312134).

The spelling of 21100222202112 in words is "twenty-one trillion, one hundred billion, two hundred twenty-two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 9158082553 18316165106 27474247659 36632330212 54948495318 73264660424 82422742977 109896990636 146529320848 164845485954 219793981272 293058641696 329690971908 439587962544 586117283392 659381943816 879175925088 1172234566784 1318763887632 1758351850176 2344469133568 2637527775264 3516703700352 5275055550528 7033407400704 10550111101056 21100222202112