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103218164 = 22715124413
BaseRepresentation
bin1100010011011…
…11101111110100
321012020000200222
412021233233310
5202410440124
614124153512
72362224410
oct611575764
9235200628
10103218164
115329a375
122a698898
13184cc54a
14d9cbd40
1590dd25e
hex626fbf4

103218164 has 24 divisors (see below), whose sum is σ = 207811968. Its totient is φ = 43941600.

The previous prime is 103218151. The next prime is 103218187. The reversal of 103218164 is 461812301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7979 + ... + 16434.

It is an arithmetic number, because the mean of its divisors is an integer number (8658832).

Almost surely, 2103218164 is an apocalyptic number.

103218164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103218164 is an abundant number, since it is smaller than the sum of its proper divisors (104593804).

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

103218164 is a wasteful number, since it uses less digits than its factorization.

103218164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24575 (or 24573 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 103218164 is about 10159.6340485275. The cubic root of 103218164 is about 469.0855374435.

The spelling of 103218164 in words is "one hundred three million, two hundred eighteen thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 151 302 604 1057 2114 4228 24413 48826 97652 170891 341782 683564 3686363 7372726 14745452 25804541 51609082 103218164