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103312431042534 = 23275962511375159
BaseRepresentation
bin10111011111011001001100…
…110000001100111111100110
3111112210120102221201020000200
4113133121030300030333212
5102020132324321330114
61003421024155451330
730522035231350350
oct2737311460147746
9445716387636020
10103312431042534
112aa11612a7941a
12b706784156b46
1345854220291cc
141b724c3bd00d0
15be25d7bd9409
hex5df64cc0cfe6

103312431042534 has 48 divisors (see below), whose sum is σ = 255821872899840. Its totient is φ = 29517766470000.

The previous prime is 103312431042533. The next prime is 103312431042631. The reversal of 103312431042534 is 435240134213301.

103312431042534 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 12 + 4 + 3 + 104 + 2 + 534 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103312431042533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74440047 + ... + 75815205.

It is an arithmetic number, because the mean of its divisors is an integer number (5329622352080).

Almost surely, 2103312431042534 is an apocalyptic number.

103312431042534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

103312431042534 is an abundant number, since it is smaller than the sum of its proper divisors (152509441857306).

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

103312431042534 is a wasteful number, since it uses less digits than its factorization.

103312431042534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971425 (or 1971422 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 103312431042534 its reverse (435240134213301), we get a palindrome (538552565255835).

The spelling of 103312431042534 in words is "one hundred three trillion, three hundred twelve billion, four hundred thirty-one million, forty-two thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 596251 1192502 1375159 1788753 2750318 3577506 4125477 4173757 5366259 8250954 8347514 9626113 10732518 12376431 12521271 19252226 24752862 25042542 28878339 37563813 57756678 75127626 86635017 173270034 819939928909 1639879857818 2459819786727 4919639573454 5739579502363 7379459360181 11479159004726 14758918720362 17218738507089 34437477014178 51656215521267 103312431042534