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2100300030 = 2365417027
BaseRepresentation
bin111110100110000…
…0000100011111110
312102101002022000000
41331030000203332
513300134100110
6544224415130
7103022153463
oct17514004376
95371068000
102100300030
11988623554
124a74774a6
132761945aa
1415cd2766a
15c45c61c0
hex7d3008fe

2100300030 has 112 divisors (see below), whose sum is σ = 5807292624. Its totient is φ = 546341760.

The previous prime is 2100300029. The next prime is 2100300043. The reversal of 2100300030 is 300030012.

It is a happy number.

It is a super-2 number, since 2×21003000302 = 8822520432036001800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2100299985 and 2100300021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 295377 + ... + 302403.

It is an arithmetic number, because the mean of its divisors is an integer number (51850827).

Almost surely, 22100300030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100300030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903646312).

2100300030 is an abundant number, since it is smaller than the sum of its proper divisors (3706992594).

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

2100300030 is an equidigital number, since it uses as much as digits as its factorization.

2100300030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7093 (or 7078 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 2100300030 is about 45829.0304283213. The cubic root of 2100300030 is about 1280.6401481416.

Adding to 2100300030 its reverse (300030012), we get a palindrome (2400330042).

The spelling of 2100300030 in words is "two billion, one hundred million, three hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 205 243 246 270 369 405 410 486 615 729 738 810 1107 1215 1230 1458 1845 2214 2430 3321 3645 3690 5535 6642 7027 7290 9963 11070 14054 16605 19926 21081 29889 33210 35135 42162 49815 59778 63243 70270 99630 105405 126486 149445 189729 210810 288107 298890 316215 379458 569187 576214 632430 864321 948645 1138374 1440535 1707561 1728642 1897290 2592963 2845935 2881070 3415122 4321605 5122683 5185926 5691870 7778889 8537805 8643210 10245366 12964815 15557778 17075610 23336667 25613415 25929630 38894445 46673334 51226830 70010001 77788890 116683335 140020002 210030003 233366670 350050005 420060006 700100010 1050150015 2100300030