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2103213000 = 233537100153
BaseRepresentation
bin111110101011100…
…0111101111001000
312102120120021211210
41331113013233020
513301410304000
6544411053120
7103056005220
oct17527075710
95376507753
102103213000
1198a233069
124a84411a0
13276974445
1415d485080
15c499e350
hex7d5c7bc8

2103213000 has 128 divisors (see below), whose sum is σ = 7499531520. Its totient is φ = 480729600.

The previous prime is 2103212983. The next prime is 2103213019. The reversal of 2103213000 is 3123012.

It is a happy number.

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

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 31 ways as a sum of consecutive naturals, for example, 29077 + ... + 71076.

It is an arithmetic number, because the mean of its divisors is an integer number (58590090).

Almost surely, 22103213000 is an apocalyptic number.

2103213000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2103213000 is an abundant number, since it is smaller than the sum of its proper divisors (5396318520).

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

2103213000 is a wasteful number, since it uses less digits than its factorization.

2103213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100184 (or 100170 counting only the distinct ones).

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

The square root of 2103213000 is about 45860.8002546837. The cubic root of 2103213000 is about 1281.2319275658.

Adding to 2103213000 its reverse (3123012), we get a palindrome (2106336012).

The spelling of 2103213000 in words is "two billion, one hundred three million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 100153 200306 300459 400612 500765 600918 701071 801224 1001530 1201836 1402142 1502295 2003060 2103213 2403672 2503825 2804284 3004590 3505355 4006120 4206426 5007650 5608568 6009180 7010710 7511475 8412852 10015300 10516065 12018360 12519125 14021420 15022950 16825704 17526775 20030600 21032130 25038250 28042840 30045900 35053550 37557375 42064260 50076500 52580325 60091800 70107100 75114750 84128520 87633875 100153000 105160650 140214200 150229500 175267750 210321300 262901625 300459000 350535500 420642600 525803250 701071000 1051606500 2103213000