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2053103100 = 2235273241389
BaseRepresentation
bin111101001011111…
…1101110111111100
312022002021102222120
41322113331313330
513201043244400
6535421042540
7101610042216
oct17227756774
95262242876
102053103100
11963a17824
124936b6450
1326947b009
1415695d5b6
15c03a1ca0
hex7a5fddfc

2053103100 has 144 divisors (see below), whose sum is σ = 6062216160. Its totient is φ = 536371200.

The previous prime is 2053103081. The next prime is 2053103147. The reversal of 2053103100 is 13013502.

It is a happy number.

It is a super-2 number, since 2×20531031002 = 8430464678459220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2053103100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5277706 + ... + 5278094.

Almost surely, 22053103100 is an apocalyptic number.

2053103100 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 2053103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031108080).

2053103100 is an abundant number, since it is smaller than the sum of its proper divisors (4009113060).

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

2053103100 is a wasteful number, since it uses less digits than its factorization.

2053103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 2053103100 is about 45311.1807394157. The cubic root of 2053103100 is about 1270.9747409670.

Adding to 2053103100 its reverse (13013502), we get a palindrome (2066116602).

The spelling of 2053103100 in words is "two billion, fifty-three million, one hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 241 292 300 365 389 438 482 723 730 778 876 964 1095 1167 1205 1446 1460 1556 1825 1945 2190 2334 2410 2892 3615 3650 3890 4380 4668 4820 5475 5835 6025 7230 7300 7780 9725 10950 11670 12050 14460 17593 18075 19450 21900 23340 24100 28397 29175 35186 36150 38900 52779 56794 58350 70372 72300 85191 87965 93749 105558 113588 116700 141985 170382 175930 187498 211116 263895 281247 283970 340764 351860 374996 425955 439825 468745 527790 562494 567940 709925 851910 879650 937490 1055580 1124988 1319475 1406235 1419850 1703820 1759300 1874980 2129775 2343725 2638950 2812470 2839700 4259550 4687450 5277900 5624940 6843677 7031175 8519100 9374900 13687354 14062350 20531031 27374708 28124700 34218385 41062062 68436770 82124124 102655155 136873540 171091925 205310310 342183850 410620620 513275775 684367700 1026551550 2053103100