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214988103 = 321117139919
BaseRepresentation
bin11001101000001…
…11010101000111
3112222112112020100
430310013111013
5420014104403
633155535143
75220240321
oct1464072507
9488475210
10214988103
1110039a820
125bbba4b3
13357043c5
14207a4611
1513d1a2a3
hexcd07547

214988103 has 48 divisors (see below), whose sum is σ = 361670400. Its totient is φ = 121616640.

The previous prime is 214988101. The next prime is 214988113. The reversal of 214988103 is 301889412.

214988103 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 214988103 - 21 = 214988101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214988101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233478 + ... + 234396.

It is an arithmetic number, because the mean of its divisors is an integer number (7534800).

Almost surely, 2214988103 is an apocalyptic number.

214988103 is a deficient number, since it is larger than the sum of its proper divisors (146682297).

214988103 is a wasteful number, since it uses less digits than its factorization.

214988103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 214988103 is about 14662.4726086701. The cubic root of 214988103 is about 599.0615914140.

The spelling of 214988103 in words is "two hundred fourteen million, nine hundred eighty-eight thousand, one hundred three".

Divisors: 1 3 9 11 17 33 51 99 139 153 187 417 561 919 1251 1529 1683 2363 2757 4587 7089 8271 10109 13761 15623 21267 25993 30327 46869 77979 90981 127741 140607 171853 233937 383223 515559 1149669 1405151 1546677 2171597 4215453 6514791 12646359 19544373 23887567 71662701 214988103