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211401112225 = 5229291587741
BaseRepresentation
bin1100010011100001111…
…1001111101010100001
3202012122220111012021011
43010320133033222201
511430422141042400
6241041043300521
721162500543152
oct3047037175241
9665586435234
10211401112225
11817224645a6
1234b7997a741
1316c20387424
14a336365929
1557743468ba
hex31387cfaa1

211401112225 has 12 divisors (see below), whose sum is σ = 271176600060. Its totient is φ = 163289134400.

The previous prime is 211401112193. The next prime is 211401112267. The reversal of 211401112225 is 522211104112.

It can be written as a sum of positive squares in 6 ways, for example, as 10947018384 + 200454093841 = 104628^2 + 447721^2 .

It is not a de Polignac number, because 211401112225 - 25 = 211401112193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211401112196 and 211401112205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145793146 + ... + 145794595.

It is an arithmetic number, because the mean of its divisors is an integer number (22598050005).

Almost surely, 2211401112225 is an apocalyptic number.

211401112225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

211401112225 is a deficient number, since it is larger than the sum of its proper divisors (59775487835).

211401112225 is a wasteful number, since it uses less digits than its factorization.

211401112225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291587780 (or 291587775 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

Adding to 211401112225 its reverse (522211104112), we get a palindrome (733612216337).

The spelling of 211401112225 in words is "two hundred eleven billion, four hundred one million, one hundred twelve thousand, two hundred twenty-five".

Divisors: 1 5 25 29 145 725 291587741 1457938705 7289693525 8456044489 42280222445 211401112225