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30320314002 = 232113712973191
BaseRepresentation
bin11100001111001110…
…110100011010010010
32220021002000112120200
4130033032310122102
5444044000022002
621532353320030
72122236262626
oct341716643222
986232015520
1030320314002
111194a032750
125a62266016
132b22856204
141678bc9186
15bc6cebb1c
hex70f3b4692

30320314002 has 96 divisors (see below), whose sum is σ = 73682953344. Its totient is φ = 8929958400.

The previous prime is 30320313971. The next prime is 30320314027. The reversal of 30320314002 is 20041302303.

30320314002 is a `hidden beast` number, since 30 + 320 + 314 + 0 + 0 + 2 = 666.

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

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, 9500227 + ... + 9503417.

It is an arithmetic number, because the mean of its divisors is an integer number (767530764).

Almost surely, 230320314002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30320314002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36841476672).

30320314002 is an abundant number, since it is smaller than the sum of its proper divisors (43362639342).

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

30320314002 is a wasteful number, since it uses less digits than its factorization.

30320314002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544 (or 4541 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30320314002 its reverse (20041302303), we get a palindrome (50361616305).

The spelling of 30320314002 in words is "thirty billion, three hundred twenty million, three hundred fourteen thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 1297 2442 2594 3191 3663 3891 6382 7326 7782 9573 11673 14267 19146 23346 28534 28719 35101 42801 47989 57438 70202 85602 95978 105303 118067 128403 143967 210606 236134 256806 287934 315909 354201 431901 527879 631818 708402 863802 1055758 1062603 1298737 1583637 2125206 2597474 3167274 3896211 4138727 4750911 7792422 8277454 9501822 11688633 12416181 23377266 24832362 37248543 45525997 74497086 91051994 136577991 153132899 273155982 306265798 409733973 459398697 819467946 918797394 1378196091 1684461889 2756392182 3368923778 5053385667 10106771334 15160157001 30320314002