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103831398 = 232113714173
BaseRepresentation
bin1100011000001…
…01011101100110
321020101011220100
412030011131212
5203040101043
614145244530
72400360306
oct614053546
9236334810
10103831398
1153679080
122a933746
13186856c8
14db0b606
1591aecd3
hex6305766

103831398 has 48 divisors (see below), whose sum is σ = 252070416. Its totient is φ = 30611520.

The previous prime is 103831367. The next prime is 103831417. The reversal of 103831398 is 893138301.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240 + ... + 14412.

It is an arithmetic number, because the mean of its divisors is an integer number (5251467).

Almost surely, 2103831398 is an apocalyptic number.

103831398 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 103831398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126035208).

103831398 is an abundant number, since it is smaller than the sum of its proper divisors (148239018).

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

103831398 is a wasteful number, since it uses less digits than its factorization.

103831398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14229 (or 14226 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 103831398 is about 10189.7692809994. The cubic root of 103831398 is about 470.0126720591.

Adding to 103831398 its reverse (893138301), we get a palindrome (996969699).

It can be divided in two parts, 10383 and 1398, that added together give a triangular number (11781 = T153).

The spelling of 103831398 in words is "one hundred three million, eight hundred thirty-one thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 14173 28346 42519 85038 127557 155903 255114 311806 467709 524401 935418 1048802 1403127 1573203 2806254 3146406 4719609 5768411 9439218 11536822 17305233 34610466 51915699 103831398