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103104032240 = 24511223934451
BaseRepresentation
bin110000000000101111…
…0101010110111110000
3100212010111102111222202
41200001132222313300
53142124113012430
6115210525122332
710310004546116
oct1400136526760
9325114374882
10103104032240
113a7a95a1500
1217b953b93a8
139951919c01
144dc13c7ab6
152a369ccd45
hex18017aadf0

103104032240 has 120 divisors (see below), whose sum is σ = 263659780944. Its totient is φ = 37468288000.

The previous prime is 103104032233. The next prime is 103104032267. The reversal of 103104032240 is 42230401301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23162015 + ... + 23166465.

Almost surely, 2103104032240 is an apocalyptic number.

103104032240 is a gapful number since it is divisible by the number (10) 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 103104032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131829890472).

103104032240 is an abundant number, since it is smaller than the sum of its proper divisors (160555748704).

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

103104032240 is a wasteful number, since it uses less digits than its factorization.

103104032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6879 (or 6862 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 103104032240 its reverse (42230401301), we get a palindrome (145334433541).

The spelling of 103104032240 in words is "one hundred three billion, one hundred four million, thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2393 2420 4451 4786 4840 8902 9572 9680 11965 17804 19144 22255 23930 26323 35608 38288 44510 47860 48961 52646 71216 89020 95720 97922 105292 131615 178040 191440 195844 210584 244805 263230 289553 356080 391688 421168 489610 526460 538571 579106 783376 979220 1052920 1077142 1158212 1447765 1958440 2105840 2154284 2316424 2692855 2895530 3916880 4308568 4632848 5385710 5791060 8617136 10651243 10771420 11582120 21302486 21542840 23164240 42604972 43085680 53256215 85209944 106512430 117163673 170419888 213024860 234327346 426049720 468654692 585818365 852099440 937309384 1171636730 1288800403 1874618768 2343273460 2577600806 4686546920 5155201612 6444002015 9373093840 10310403224 12888004030 20620806448 25776008060 51552016120 103104032240