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211005016431 = 31125471062671
BaseRepresentation
bin1100010010000011100…
…0010000100101101111
3202011122022011102222120
43010200320100211233
511424114241011211
6240533453444023
721146621022006
oct3044070204557
9664568142876
10211005016431
1181539915a00
1234a891a0613
1316b892b1c11
14a2d98d9c3d
15574e6a4d06
hex3120e1096f

211005016431 has 24 divisors (see below), whose sum is σ = 309807144192. Its totient is φ = 127647920400.

The previous prime is 211005016373. The next prime is 211005016433. The reversal of 211005016431 is 134610500112.

It is a happy number.

It is not a de Polignac number, because 211005016431 - 211 = 211005014383 is a prime.

It is a super-2 number, since 2×2110050164312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211005016433) 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, 332775 + ... + 729896.

It is an arithmetic number, because the mean of its divisors is an integer number (12908631008).

Almost surely, 2211005016431 is an apocalyptic number.

211005016431 is a deficient number, since it is larger than the sum of its proper divisors (98802127761).

211005016431 is a wasteful number, since it uses less digits than its factorization.

211005016431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063243 (or 1063232 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 211005016431 its reverse (134610500112), we get a palindrome (345615516543).

The spelling of 211005016431 in words is "two hundred eleven billion, five million, sixteen thousand, four hundred thirty-one".

Divisors: 1 3 11 33 121 363 547 1641 6017 18051 66187 198561 1062671 3188013 11689381 35068143 128583191 385749573 581281037 1743843111 6394091407 19182274221 70335005477 211005016431