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103118344 = 23722331129
BaseRepresentation
bin1100010010101…
…11011000001000
321012000221202221
412021113120020
5202344241334
614122103424
72361330400
oct611273010
9235027687
10103118344
115323137a
122a64ab74
1318495c94
14d9a3800
1590bd8b4
hex6257608

103118344 has 48 divisors (see below), whose sum is σ = 226079100. Its totient is φ = 43964928.

The previous prime is 103118333. The next prime is 103118359. The reversal of 103118344 is 443811301.

It can be written as a sum of positive squares in 2 ways, for example, as 87198244 + 15920100 = 9338^2 + 3990^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 90772 + ... + 91900.

Almost surely, 2103118344 is an apocalyptic number.

103118344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103118344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113039550).

103118344 is an abundant number, since it is smaller than the sum of its proper divisors (122960756).

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

103118344 is a wasteful number, since it uses less digits than its factorization.

103118344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 103118344 is about 10154.7202817212. The cubic root of 103118344 is about 468.9342745946.

Adding to 103118344 its reverse (443811301), we get a palindrome (546929645).

The spelling of 103118344 in words is "one hundred three million, one hundred eighteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 233 392 466 932 1129 1631 1864 2258 3262 4516 6524 7903 9032 11417 13048 15806 22834 31612 45668 55321 63224 91336 110642 221284 263057 442568 526114 1052228 1841399 2104456 3682798 7365596 12889793 14731192 25779586 51559172 103118344