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2103013200 = 243527324007
BaseRepresentation
bin111110101011001…
…0110111101010000
312102120012010202210
41331112112331100
513301332410300
6544402512120
7103054213551
oct17526267520
95376163683
102103013200
1198a106a42
124a8365640
13276904512
1415d432328
15c4960050
hex7d596f50

2103013200 has 120 divisors (see below), whose sum is σ = 6829219648. Its totient is φ = 553098240.

The previous prime is 2103013163. The next prime is 2103013229. The reversal of 2103013200 is 23103012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75597 + ... + 99603.

Almost surely, 22103013200 is an apocalyptic number.

2103013200 is a gapful number since it is divisible by the number (20) 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 2103013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414609824).

2103013200 is an abundant number, since it is smaller than the sum of its proper divisors (4726206448).

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

2103013200 is a wasteful number, since it uses less digits than its factorization.

2103013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24101 (or 24090 counting only the distinct ones).

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

The square root of 2103013200 is about 45858.6218720101. The cubic root of 2103013200 is about 1281.1913549997.

Adding to 2103013200 its reverse (23103012), we get a palindrome (2126116212).

The spelling of 2103013200 in words is "two billion, one hundred three million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 73 75 80 100 120 146 150 200 219 240 292 300 365 400 438 584 600 730 876 1095 1168 1200 1460 1752 1825 2190 2920 3504 3650 4380 5475 5840 7300 8760 10950 14600 17520 21900 24007 29200 43800 48014 72021 87600 96028 120035 144042 192056 240070 288084 360105 384112 480140 576168 600175 720210 960280 1152336 1200350 1440420 1752511 1800525 1920560 2400700 2880840 3505022 3601050 4801400 5257533 5761680 7010044 7202100 8762555 9602800 10515066 14020088 14404200 17525110 21030132 26287665 28040176 28808400 35050220 42060264 43812775 52575330 70100440 84120528 87625550 105150660 131438325 140200880 175251100 210301320 262876650 350502200 420602640 525753300 701004400 1051506600 2103013200