Search a number
-
+
250221225221121 = 37111198790365293
BaseRepresentation
bin111000111001001100101011…
…001111101001110000000001
31012210221220201102001221212110
4320321030223033221300001
5230244111032124033441
62244102013255045533
7103463613136301040
oct7071145317516001
91183856642057773
10250221225221121
11728012534243a0
12240926720708a9
13a9809b6490b5b
1445b0ab420c557
151dddc6575cb16
hexe3932b3e9c01

250221225221121 has 32 divisors (see below), whose sum is σ = 415986871477248. Its totient is φ = 129974206789440.

The previous prime is 250221225221113. The next prime is 250221225221171. The reversal of 250221225221121 is 121122522122052.

It is a happy number.

It is not a de Polignac number, because 250221225221121 - 23 = 250221225221113 is a prime.

It is a super-2 number, since 2×2502212252211212 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (250221225221171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42413650 + ... + 47951643.

It is an arithmetic number, because the mean of its divisors is an integer number (12999589733664).

Almost surely, 2250221225221121 is an apocalyptic number.

250221225221121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

250221225221121 is a deficient number, since it is larger than the sum of its proper divisors (165765646256127).

250221225221121 is a wasteful number, since it uses less digits than its factorization.

250221225221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90377301.

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 250221225221121 its reverse (121122522122052), we get a palindrome (371343747343173).

The spelling of 250221225221121 in words is "two hundred fifty trillion, two hundred twenty-one billion, two hundred twenty-five million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 11 21 33 77 231 11987 35961 83909 131857 251727 395571 922999 2768997 90365293 271095879 632557051 994018223 1897671153 2982054669 6958127561 20874382683 1083208767191 3249626301573 7582461370337 11915296439101 22747384111011 35745889317303 83407075073707 250221225221121