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30212302122 = 23237714491423
BaseRepresentation
bin11100001000110010…
…110010010100101010
32212222112202222010200
4130020302302110222
5443333322131442
621513534253030
72116455221322
oct341062622452
985875688120
1030212302122
11118a4069832
125a32057176
132b06368a62
141668710282
15bbc5b334c
hex708cb252a

30212302122 has 96 divisors (see below), whose sum is σ = 68375923200. Its totient is φ = 9632286720.

The previous prime is 30212302093. The next prime is 30212302129. The reversal of 30212302122 is 22120321203.

30212302122 is a `hidden beast` number, since 30 + 212 + 302 + 122 = 666.

It is a super-2 number, since 2×302123021222 (a number of 22 digits) contains 22 as substring.

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 = 30212302095 and 30212302104.

It is not an unprimeable number, because it can be changed into a prime (30212302129) 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, 21230703 + ... + 21232125.

It is an arithmetic number, because the mean of its divisors is an integer number (712249200).

Almost surely, 230212302122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30212302122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34187961600).

30212302122 is an abundant number, since it is smaller than the sum of its proper divisors (38163621078).

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

30212302122 is a wasteful number, since it uses less digits than its factorization.

30212302122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1985 counting only the distinct ones).

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

Adding to 30212302122 its reverse (22120321203), we get a palindrome (52332623325).

The spelling of 30212302122 in words is "thirty billion, two hundred twelve million, three hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 71 74 111 142 213 222 333 426 449 639 666 898 1278 1347 1423 2627 2694 2846 4041 4269 5254 7881 8082 8538 12807 15762 16613 23643 25614 31879 33226 47286 49839 52651 63758 95637 99678 101033 105302 149517 157953 191274 202066 286911 299034 303099 315906 473859 573822 606198 638927 909297 947718 1179523 1277854 1818594 1916781 2359046 3538569 3738221 3833562 5750343 7077138 7476442 10615707 11214663 11500686 21231414 22429326 23640299 33643989 45363817 47280598 67287978 70920897 90727634 136091451 141841794 212762691 272182902 408274353 425525382 816548706 1678461229 3356922458 5035383687 10070767374 15106151061 30212302122