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2103132020 = 2251183149773
BaseRepresentation
bin111110101011011…
…0011111101110100
312102120102011202112
41331112303331310
513301400211040
6544405230152
7103055220143
oct17526637564
95376364675
102103132020
1198a188240
124a8402358
13276946622
1415d46375a
15c4985365
hex7d5b3f74

2103132020 has 96 divisors (see below), whose sum is σ = 4915209600. Its totient is φ = 749519360.

The previous prime is 2103132013. The next prime is 2103132037. The reversal of 2103132020 is 202313012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2103131986 and 2103132004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2720354 + ... + 2721126.

It is an arithmetic number, because the mean of its divisors is an integer number (51200100).

Almost surely, 22103132020 is an apocalyptic number.

2103132020 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 2103132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457604800).

2103132020 is an abundant number, since it is smaller than the sum of its proper divisors (2812077580).

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

2103132020 is a wasteful number, since it uses less digits than its factorization.

2103132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2103132020 is about 45859.9173570995. The cubic root of 2103132020 is about 1281.2154835992.

Adding to 2103132020 its reverse (202313012), we get a palindrome (2305445032).

The spelling of 2103132020 in words is "two billion, one hundred three million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 149 166 220 298 332 415 596 745 773 830 913 1490 1546 1639 1660 1826 2980 3092 3278 3652 3865 4565 6556 7730 8195 8503 9130 12367 15460 16390 17006 18260 24734 32780 34012 42515 49468 61835 64159 85030 115177 123670 128318 136037 170060 230354 247340 256636 272074 320795 460708 544148 575885 641590 680185 705749 1151770 1266947 1283180 1360370 1411498 2303540 2533894 2720740 2822996 3528745 5067788 6334735 7057490 9559691 12669470 14114980 19119382 25338940 38238764 47798455 95596910 105156601 191193820 210313202 420626404 525783005 1051566010 2103132020