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2103430032 = 243411147547
BaseRepresentation
bin111110101011111…
…1100101110010000
312102120222022120000
41331113330232100
513301434230112
6544415450000
7103060601034
oct17527745620
95376868500
102103430032
1198a371130
124a8526900
13276a1c172
1415d5001c4
15c49e37dc
hex7d5fcb90

2103430032 has 100 divisors (see below), whose sum is σ = 6641430576. Its totient is φ = 637398720.

The previous prime is 2103430031. The next prime is 2103430033. The reversal of 2103430032 is 2300343012.

It is an interprime number because it is at equal distance from previous prime (2103430031) and next prime (2103430033).

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

It is a junction number, because it is equal to n+sod(n) for n = 2103429987 and 2103430014.

It is not an unprimeable number, because it can be changed into a prime (2103430031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59518 + ... + 88029.

Almost surely, 22103430032 is an apocalyptic number.

2103430032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2103430032 is an abundant number, since it is smaller than the sum of its proper divisors (4538000544).

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

2103430032 is a wasteful number, since it uses less digits than its factorization.

2103430032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147578 (or 147563 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2103430032 is about 45863.1663974480. The cubic root of 2103430032 is about 1281.2759964521.

Adding to 2103430032 its reverse (2300343012), we get a palindrome (4403773044).

The spelling of 2103430032 in words is "two billion, one hundred three million, four hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 3564 4752 7128 14256 147547 295094 442641 590188 885282 1180376 1327923 1623017 1770564 2360752 2655846 3246034 3541128 3983769 4869051 5311692 6492068 7082256 7967538 9738102 10623384 11951307 12984136 14607153 15935076 19476204 21246768 23902614 25968272 29214306 31870152 38952408 43821459 47805228 58428612 63740304 77904816 87642918 95610456 116857224 131464377 175285836 191220912 233714448 262928754 350571672 525857508 701143344 1051715016 2103430032