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30434100200 = 23527181120103
BaseRepresentation
bin11100010110000000…
…111000001111101000
32220120000010110220022
4130112000320033220
5444312112201300
621551540220012
72125120404050
oct342600701750
986500113808
1030434100200
11119a828aa29
125a9439a608
132b402b5a1a
141689d68560
15bd1cc6285
hex7160383e8

30434100200 has 96 divisors (see below), whose sum is σ = 81315212160. Its totient is φ = 10376812800.

The previous prime is 30434100149. The next prime is 30434100251. The reversal of 30434100200 is 200143403.

It is an interprime number because it is at equal distance from previous prime (30434100149) and next prime (30434100251).

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, 193349 + ... + 313451.

It is an arithmetic number, because the mean of its divisors is an integer number (847033460).

Almost surely, 230434100200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30434100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40657606080).

30434100200 is an abundant number, since it is smaller than the sum of its proper divisors (50881111960).

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

30434100200 is a wasteful number, since it uses less digits than its factorization.

30434100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120307 (or 120298 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 30434100200 its reverse (200143403), we get a palindrome (30634243603).

The spelling of 30434100200 in words is "thirty billion, four hundred thirty-four million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 181 200 280 350 362 700 724 905 1267 1400 1448 1810 2534 3620 4525 5068 6335 7240 9050 10136 12670 18100 25340 31675 36200 50680 63350 120103 126700 240206 253400 480412 600515 840721 960824 1201030 1681442 2402060 3002575 3362884 4203605 4804120 6005150 6725768 8407210 12010300 16814420 21018025 21738643 24020600 33628840 42036050 43477286 84072100 86954572 108693215 152170501 168144200 173909144 217386430 304341002 434772860 543466075 608682004 760852505 869545720 1086932150 1217364008 1521705010 2173864300 3043410020 3804262525 4347728600 6086820040 7608525050 15217050100 30434100200