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103881258 = 23313211383
BaseRepresentation
bin1100011000100…
…01101000101010
321020110201022000
412030101220222
5203043200013
614150311430
72400655545
oct614215052
9236421260
10103881258
1153702588
122a958576
13186a2300
14db2185c
1591be973
hex6311a2a

103881258 has 48 divisors (see below), whose sum is σ = 249992640. Its totient is φ = 31960656.

The previous prime is 103881221. The next prime is 103881259. The reversal of 103881258 is 852188301.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103881259) 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 23 ways as a sum of consecutive naturals, for example, 3435 + ... + 14817.

It is an arithmetic number, because the mean of its divisors is an integer number (5208180).

Almost surely, 2103881258 is an apocalyptic number.

103881258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103881258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124996320).

103881258 is an abundant number, since it is smaller than the sum of its proper divisors (146111382).

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

103881258 is a wasteful number, since it uses less digits than its factorization.

103881258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11420 (or 11401 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 103881258 is about 10192.2155589450. The cubic root of 103881258 is about 470.0878936271.

The spelling of 103881258 in words is "one hundred three million, eight hundred eighty-one thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 702 1014 1521 3042 4563 9126 11383 22766 34149 68298 102447 147979 204894 295958 307341 443937 614682 887874 1331811 1923727 2663622 3847454 3995433 5771181 7990866 11542362 17313543 34627086 51940629 103881258