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214112351001 = 36182111711217
BaseRepresentation
bin1100011101101000010…
…1110011001100011001
3202110122212011101200010
43013122011303030121
512002000230213001
6242210054432133
721316621645323
oct3073205631431
9673585141603
10214112351001
11828939273aa
12355b5962649
1317262ca7523
14a512482613
15588239b8d6
hex31da173319

214112351001 has 32 divisors (see below), whose sum is σ = 291003624576. Its totient is φ = 139995648000.

The previous prime is 214112350913. The next prime is 214112351081. The reversal of 214112351001 is 100153211412.

214112351001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214112351001 - 221 = 214110253849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214112351081) 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 31 ways as a sum of consecutive naturals, for example, 175933945 + ... + 175935161.

It is an arithmetic number, because the mean of its divisors is an integer number (9093863268).

Almost surely, 2214112351001 is an apocalyptic number.

It is an amenable number.

214112351001 is a deficient number, since it is larger than the sum of its proper divisors (76891273575).

214112351001 is a wasteful number, since it uses less digits than its factorization.

214112351001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273.

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 214112351001 its reverse (100153211412), we get a palindrome (314265562413).

The spelling of 214112351001 in words is "two hundred fourteen billion, one hundred twelve million, three hundred fifty-one thousand, one".

Divisors: 1 3 61 183 821 1171 1217 2463 3513 3651 50081 71431 74237 150243 214293 222711 961391 999157 1425107 2884173 2997471 4275321 58644851 60948577 86931527 175934553 182845731 260794581 1170012847 3510038541 71370783667 214112351001