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211140035000052 = 22353331981187107
BaseRepresentation
bin110000000000011111011110…
…110010001011011011110100
31000200120210100001211210200020
4300000133132302023123310
5210133304242430000202
62025020220521045140
762321235616412334
oct6000373662133364
91020523301753606
10211140035000052
1161303a93391464
121b82042a6267b0
1390a755c5aa9c2
143a1d3372d90c4
1519623845805bc
hexc007dec8b6f4

211140035000052 has 24 divisors (see below), whose sum is σ = 501955554907296. Its totient is φ = 69052086918048.

The previous prime is 211140035000023. The next prime is 211140035000071. The reversal of 211140035000052 is 250000530041112.

It is a happy number.

211140035000052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2111400350000522 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211140034999986 and 211140035000031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165990592918 + ... + 165990594189.

It is an arithmetic number, because the mean of its divisors is an integer number (20914814787804).

Almost surely, 2211140035000052 is an apocalyptic number.

It is an amenable number.

211140035000052 is an abundant number, since it is smaller than the sum of its proper divisors (290815519907244).

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

211140035000052 is a wasteful number, since it uses less digits than its factorization.

211140035000052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331981187167 (or 331981187165 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 211140035000052 its reverse (250000530041112), we get a palindrome (461140565041164).

The spelling of 211140035000052 in words is "two hundred eleven trillion, one hundred forty billion, thirty-five million, fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 53 106 159 212 318 636 331981187107 663962374214 995943561321 1327924748428 1991887122642 3983774245284 17595002916671 35190005833342 52785008750013 70380011666684 105570017500026 211140035000052