Search a number
-
+
30011340200 = 23522913139499
BaseRepresentation
bin11011111100110100…
…001011010110101000
32212110112122001012112
4123330310023112220
5442430400341300
621441555101452
72111465116442
oct337464132650
985415561175
1030011340200
111180068a0a6
1259968a1888
132aa383598a
141649b5b492
15ba9b18e35
hex6fcd0b5a8

30011340200 has 96 divisors (see below), whose sum is σ = 72735300000. Its totient is φ = 11501817600.

The previous prime is 30011340193. The next prime is 30011340221. The reversal of 30011340200 is 204311003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 740051 + ... + 779549.

It is an arithmetic number, because the mean of its divisors is an integer number (757659375).

Almost surely, 230011340200 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 30011340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36367650000).

30011340200 is an abundant number, since it is smaller than the sum of its proper divisors (42723959800).

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

30011340200 is a wasteful number, since it uses less digits than its factorization.

30011340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39675 (or 39666 counting only the distinct ones).

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

Adding to 30011340200 its reverse (204311003), we get a palindrome (30215651203).

The spelling of 30011340200 in words is "thirty billion, eleven million, three hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 131 145 200 232 262 290 524 580 655 725 1048 1160 1310 1450 2620 2900 3275 3799 5240 5800 6550 7598 13100 15196 18995 26200 30392 37990 39499 75980 78998 94975 151960 157996 189950 197495 315992 379900 394990 759800 789980 987475 1145471 1579960 1974950 2290942 3949900 4581884 5174369 5727355 7899800 9163768 10348738 11454710 20697476 22909420 25871845 28636775 41394952 45818840 51743690 57273550 103487380 114547100 129359225 150056701 206974760 229094200 258718450 300113402 517436900 600226804 750283505 1034873800 1200453608 1500567010 3001134020 3751417525 6002268040 7502835050 15005670100 30011340200