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103041012438 = 233713533831033
BaseRepresentation
bin101111111110110111…
…0010001001011010110
3100211222002211210002000
41133331232101023112
53142011444344223
6115200354300130
710305311103660
oct1377556211326
9324862753060
10103041012438
113a776a68821
1217b78287646
1399418535a0
144db6ca1530
152a311d0543
hex17fdb912d6

103041012438 has 256 divisors, whose sum is σ = 288167362560. Its totient is φ = 26567543808.

The previous prime is 103041012433. The next prime is 103041012443. The reversal of 103041012438 is 834210140301.

103041012438 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 410 + 1 + 243 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (103041012433) and next prime (103041012443).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103041012433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99748770 + ... + 99749802.

It is an arithmetic number, because the mean of its divisors is an integer number (1125653760).

Almost surely, 2103041012438 is an apocalyptic number.

103041012438 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 103041012438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144083681280).

103041012438 is an abundant number, since it is smaller than the sum of its proper divisors (185126350122).

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

103041012438 is a wasteful number, since it uses less digits than its factorization.

103041012438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 103041012438 its reverse (834210140301), we get a palindrome (937251152739).

The spelling of 103041012438 in words is "one hundred three billion, forty-one million, twelve thousand, four hundred thirty-eight".