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103314182040 = 23325286983839
BaseRepresentation
bin110000000111000000…
…0010100111110011000
3100212200010212020022200
41200032000110332120
53143041412311130
6115243433250200
710315136025546
oct1401600247630
9325603766280
10103314182040
113a8a7187123
1218033863960
139986318cc4
14500128cd96
152a4a18e760
hex180e014f98

103314182040 has 48 divisors (see below), whose sum is σ = 335771092800. Its totient is φ = 27550448448.

The previous prime is 103314181967. The next prime is 103314182047. The reversal of 103314182040 is 40281413301.

103314182040 is a `hidden beast` number, since 10 + 3 + 31 + 418 + 204 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 103314181995 and 103314182013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103314182047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143491560 + ... + 143492279.

It is an arithmetic number, because the mean of its divisors is an integer number (6995231100).

Almost surely, 2103314182040 is an apocalyptic number.

103314182040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103314182040 is an abundant number, since it is smaller than the sum of its proper divisors (232456910760).

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

103314182040 is a wasteful number, since it uses less digits than its factorization.

103314182040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286983856 (or 286983849 counting only the distinct ones).

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

Adding to 103314182040 its reverse (40281413301), we get a palindrome (143595595341).

The spelling of 103314182040 in words is "one hundred three billion, three hundred fourteen million, one hundred eighty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 286983839 573967678 860951517 1147935356 1434919195 1721903034 2295870712 2582854551 2869838390 3443806068 4304757585 5165709102 5739676780 6887612136 8609515170 10331418204 11479353560 12914272755 17219030340 20662836408 25828545510 34438060680 51657091020 103314182040