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10032042150 = 232521310116979
BaseRepresentation
bin10010101011111010…
…01101000010100110
3221220011001112200200
421111331031002212
5131021200322100
64335245251330
7503413644204
oct112575150246
927804045620
1010032042150
11428890a829
121b3b863b46
13c3b528b20
146b2504074
153daadbe00
hex255f4d0a6

10032042150 has 144 divisors (see below), whose sum is σ = 29315154960. Its totient is φ = 2444832000.

The previous prime is 10032042133. The next prime is 10032042179. The reversal of 10032042150 is 5124023001.

10032042150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 582361 + ... + 599339.

It is an arithmetic number, because the mean of its divisors is an integer number (203577465).

Almost surely, 210032042150 is an apocalyptic number.

10032042150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10032042150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14657577480).

10032042150 is an abundant number, since it is smaller than the sum of its proper divisors (19283112810).

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

10032042150 is a wasteful number, since it uses less digits than its factorization.

10032042150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17111 (or 17103 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10032042150 its reverse (5124023001), we get a palindrome (15156065151).

The spelling of 10032042150 in words is "ten billion, thirty-two million, forty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 101 117 130 150 195 202 225 234 303 325 390 450 505 585 606 650 909 975 1010 1170 1313 1515 1818 1950 2525 2626 2925 3030 3939 4545 5050 5850 6565 7575 7878 9090 11817 13130 15150 16979 19695 22725 23634 32825 33958 39390 45450 50937 59085 65650 84895 98475 101874 118170 152811 169790 196950 220727 254685 295425 305622 424475 441454 509370 590850 662181 764055 848950 1103635 1273425 1324362 1528110 1714879 1986543 2207270 2546850 3310905 3429758 3820275 3973086 5144637 5518175 6621810 7640550 8574395 9932715 10289274 11036350 15433911 16554525 17148790 19865430 22293427 25723185 30867822 33109050 42871975 44586854 49663575 51446370 66880281 77169555 85743950 99327150 111467135 128615925 133760562 154339110 200640843 222934270 257231850 334401405 385847775 401281686 557335675 668802810 771695550 1003204215 1114671350 1672007025 2006408430 3344014050 5016021075 10032042150