Search a number
-
+
30201322122 = 2338912749481
BaseRepresentation
bin11100001000001000…
…111001101010001010
32212221210010010102000
4130020020321222022
5443323014301442
621512503051430
72116263000546
oct341010715212
985853103360
1030201322122
111189894a354
125a2a440b76
132b03cc310a
141667092a26
15bbb644d4c
hex708239a8a

30201322122 has 64 divisors (see below), whose sum is σ = 68403916800. Its totient is φ = 9875416320.

The previous prime is 30201322121. The next prime is 30201322127. The reversal of 30201322122 is 22122310203.

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

It is a junction number, because it is equal to n+sod(n) for n = 30201322095 and 30201322104.

It is not an unprimeable number, because it can be changed into a prime (30201322121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585622 + ... + 635102.

It is an arithmetic number, because the mean of its divisors is an integer number (1068811200).

Almost surely, 230201322122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30201322122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34201958400).

30201322122 is an abundant number, since it is smaller than the sum of its proper divisors (38202594678).

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

30201322122 is a wasteful number, since it uses less digits than its factorization.

30201322122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49708 (or 49702 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30201322122 its reverse (22122310203), we get a palindrome (52323632325).

The spelling of 30201322122 in words is "thirty billion, two hundred one million, three hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 89 127 178 254 267 381 534 762 801 1143 1602 2286 2403 3429 4806 6858 11303 22606 33909 49481 67818 98962 101727 148443 203454 296886 305181 445329 610362 890658 1335987 2671974 4403809 6284087 8807618 12568174 13211427 18852261 26422854 37704522 39634281 56556783 79268562 113113566 118902843 169670349 237805686 339340698 559283743 1118567486 1677851229 3355702458 5033553687 10067107374 15100661061 30201322122