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2103132000 = 25353175261
BaseRepresentation
bin111110101011011…
…0011111101100000
312102120102011201210
41331112303331200
513301400211000
6544405230120
7103055220114
oct17526637540
95376364653
102103132000
1198a188222
124a8402340
13276946608
1415d463744
15c4985350
hex7d5b3f60

2103132000 has 96 divisors (see below), whose sum is σ = 6889899744. Its totient is φ = 560832000.

The previous prime is 2103131969. The next prime is 2103132013. The reversal of 2103132000 is 2313012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 75631 + ... + 99630.

It is an arithmetic number, because the mean of its divisors is an integer number (71769789).

Almost surely, 22103132000 is an apocalyptic number.

2103132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2103132000 is an abundant number, since it is smaller than the sum of its proper divisors (4786767744).

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

2103132000 is a wasteful number, since it uses less digits than its factorization.

2103132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175289 (or 175271 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2103132000 is about 45859.9171390442. The cubic root of 2103132000 is about 1281.2154795379.

Adding to 2103132000 its reverse (2313012), we get a palindrome (2105445012).

The spelling of 2103132000 in words is "two billion, one hundred three million, one hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 175261 350522 525783 701044 876305 1051566 1402088 1752610 2103132 2628915 2804176 3505220 4206264 4381525 5257830 5608352 7010440 8412528 8763050 10515660 13144575 14020880 16825056 17526100 21031320 21907625 26289150 28041760 35052200 42062640 43815250 52578300 65722875 70104400 84125280 87630500 105156600 131445750 140208800 175261000 210313200 262891500 350522000 420626400 525783000 701044000 1051566000 2103132000