Search a number
-
+
2103023210100 = 2235278720034447
BaseRepresentation
bin11110100110100101111…
…100111000111001110100
321110001021022012011211020
4132212211330320321310
5233423442420210400
64250040541541140
7304636606225131
oct36464574707164
97401238164736
102103023210100
1174098385a42a
1229b6b62747b0
131234114c3917
1473b03239588
1539a878432a0
hex1e9a5f38e74

2103023210100 has 144 divisors (see below), whose sum is σ = 6096891107328. Its totient is φ = 559688088960.

The previous prime is 2103023210087. The next prime is 2103023210111. The reversal of 2103023210100 is 10123203012.

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 2103023210100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 472906077 + ... + 472910523.

Almost surely, 22103023210100 is an apocalyptic number.

2103023210100 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 2103023210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048445553664).

2103023210100 is an abundant number, since it is smaller than the sum of its proper divisors (3993867897228).

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

2103023210100 is a wasteful number, since it uses less digits than its factorization.

2103023210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7254 (or 7247 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2103023210100 its reverse (10123203012), we get a palindrome (2113146413112).

The spelling of 2103023210100 in words is "two trillion, one hundred three billion, twenty-three million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 787 1574 2003 2361 3148 3935 4006 4447 4722 6009 7870 8012 8894 9444 10015 11805 12018 13341 15740 17788 19675 20030 22235 23610 24036 26682 30045 39350 40060 44470 47220 50075 53364 59025 60090 66705 78700 88940 100150 111175 118050 120180 133410 150225 200300 222350 236100 266820 300450 333525 444700 600900 667050 1334100 1576361 3152722 3499789 4729083 6305444 6999578 7881805 8907341 9458166 10499367 13999156 15763610 17498945 17814682 18916332 20998734 23645415 26722023 31527220 34997890 35629364 39409025 41997468 44536705 47290830 52496835 53444046 69995780 78818050 87494725 89073410 94581660 104993670 106888092 118227075 133610115 157636100 174989450 178146820 209987340 222683525 236454150 262484175 267220230 349978900 445367050 472908300 524968350 534440460 668050575 890734100 1049936700 1336101150 2672202300 7010077367 14020154734 21030232101 28040309468 35050386835 42060464202 70100773670 84120928404 105151160505 140201547340 175251934175 210302321010 350503868350 420604642020 525755802525 701007736700 1051511605050 2103023210100