Search a number
-
+
211110002214 = 231271181234587
BaseRepresentation
bin1100010010011100100…
…0101111111000100110
3202011220121201021101220
43010213020233320212
511424323130032324
6240552124001210
721152334261006
oct3044710577046
9664817637356
10211110002214
1181593102311
1234ab8390206
1316ba4c7cb97
14a309828006
1557589e1b79
hex312722fe26

211110002214 has 32 divisors (see below), whose sum is σ = 425906712576. Its totient is φ = 69756492960.

The previous prime is 211110002209. The next prime is 211110002219. The reversal of 211110002214 is 412200011112.

211110002214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211110002209) and next prime (211110002219).

It is a junction number, because it is equal to n+sod(n) for n = 211110002193 and 211110002202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211110002219) 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 15 ways as a sum of consecutive naturals, for example, 782629 + ... + 1017215.

It is an arithmetic number, because the mean of its divisors is an integer number (13309584768).

Almost surely, 2211110002214 is an apocalyptic number.

211110002214 is an abundant number, since it is smaller than the sum of its proper divisors (214796710362).

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

211110002214 is a wasteful number, since it uses less digits than its factorization.

211110002214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235900.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211110002214 its reverse (412200011112), we get a palindrome (623310013326).

The spelling of 211110002214 in words is "two hundred eleven billion, one hundred ten million, two thousand, two hundred fourteen".

Divisors: 1 2 3 6 127 254 381 762 1181 2362 3543 7086 149987 234587 299974 449961 469174 703761 899922 1407522 29792549 59585098 89377647 178755294 277047247 554094494 831141741 1662283482 35185000369 70370000738 105555001107 211110002214