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212048109 = 327132311257
BaseRepresentation
bin11001010001110…
…01100011101101
3112210000011022200
430220321203231
5413241014414
633012532113
75153244030
oct1450714355
9483004280
10212048109
11a9771979
125b021039
1334c15170
142023b017
1513939109
hexca398ed

212048109 has 48 divisors (see below), whose sum is σ = 393399552. Its totient is φ = 106977024.

The previous prime is 212048069. The next prime is 212048131. The reversal of 212048109 is 901840212.

It is not a de Polignac number, because 212048109 - 28 = 212047853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212048149) 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, 13209 + ... + 24465.

It is an arithmetic number, because the mean of its divisors is an integer number (8195824).

Almost surely, 2212048109 is an apocalyptic number.

It is an amenable number.

212048109 is a deficient number, since it is larger than the sum of its proper divisors (181351443).

212048109 is a wasteful number, since it uses less digits than its factorization.

212048109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11306 (or 11303 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 212048109 is about 14561.8717546887. The cubic root of 212048109 is about 596.3182963051.

The spelling of 212048109 in words is "two hundred twelve million, forty-eight thousand, one hundred nine".

Divisors: 1 3 7 9 13 21 23 39 63 69 91 117 161 207 273 299 483 819 897 1449 2093 2691 6279 11257 18837 33771 78799 101313 146341 236397 258911 439023 709191 776733 1024387 1317069 1812377 2330199 3073161 3365843 5437131 9219483 10097529 16311393 23560901 30292587 70682703 212048109