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2106351 = 331317353
BaseRepresentation
bin1000000010001111101111
310222000101000
420002033233
51014400401
6113051343
723621652
oct10021757
93860330
102106351
111209595
12856b53
13589980
143cb899
152b9186
hex2023ef

2106351 has 32 divisors (see below), whose sum is σ = 3568320. Its totient is φ = 1216512.

The previous prime is 2106347. The next prime is 2106353. The reversal of 2106351 is 1536012.

2106351 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 2106351 - 22 = 2106347 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5791 + ... + 6143.

It is an arithmetic number, because the mean of its divisors is an integer number (111510).

22106351 is an apocalyptic number.

2106351 is a deficient number, since it is larger than the sum of its proper divisors (1461969).

2106351 is a wasteful number, since it uses less digits than its factorization.

2106351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2106351 is about 1451.3273235215. The cubic root of 2106351 is about 128.1868811532.

It can be divided in two parts, 210 and 6351, that added together give a 8-th power (6561 = 38).

The spelling of 2106351 in words is "two million, one hundred six thousand, three hundred fifty-one".

Divisors: 1 3 9 13 17 27 39 51 117 153 221 351 353 459 663 1059 1989 3177 4589 5967 6001 9531 13767 18003 41301 54009 78013 123903 162027 234039 702117 2106351