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30011322330 = 232511137322079
BaseRepresentation
bin11011111100110100…
…000110111111011010
32212110112121010200200
4123330310012333122
5442430344303310
621441554443030
72111465013363
oct337464067732
985415533620
1030011322330
1111800677730
125996893476
132aa382a7c2
141649b54b6a
15ba9b139c0
hex6fcd06fda

30011322330 has 96 divisors (see below), whose sum is σ = 85188879360. Its totient is φ = 7269843840.

The previous prime is 30011322287. The next prime is 30011322337. The reversal of 30011322330 is 3322311003.

30011322330 is a `hidden beast` number, since 3 + 0 + 0 + 11 + 322 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30011322337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1348231 + ... + 1370309.

It is an arithmetic number, because the mean of its divisors is an integer number (887384160).

Almost surely, 230011322330 is an apocalyptic number.

30011322330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30011322330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42594439680).

30011322330 is an abundant number, since it is smaller than the sum of its proper divisors (55177557030).

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

30011322330 is a wasteful number, since it uses less digits than its factorization.

30011322330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23476 (or 23473 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30011322330 its reverse (3322311003), we get a palindrome (33333633333).

The spelling of 30011322330 in words is "thirty billion, eleven million, three hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1373 2746 4119 6865 8238 12357 13730 15103 20595 22079 24714 30206 41190 44158 45309 61785 66237 75515 90618 110395 123570 132474 135927 151030 198711 220790 226545 242869 271854 331185 397422 453090 485738 662370 679635 728607 993555 1214345 1359270 1457214 1987110 2185821 2428690 3643035 4371642 7286070 10929105 21858210 30314467 60628934 90943401 151572335 181886802 272830203 303144670 333459137 454717005 545660406 666918274 909434010 1000377411 1364151015 1667295685 2000754822 2728302030 3001132233 3334591370 5001887055 6002264466 10003774110 15005661165 30011322330