Search a number
-
+
30000113320122 = 23211197974511781
BaseRepresentation
bin1101101001000111100100…
…00110010000000010111010
310221012222112110221000110200
412310203302012100002322
512413010213002220442
6143445510052023030
76214302526526451
oct664436206200272
9127188473830420
1030000113320122
119616a81960150
123446281301a76
131397cc9a6788a
1475a028447b98
15370589c1034c
hex1b48f21900ba

30000113320122 has 48 divisors (see below), whose sum is σ = 74641430279520. Its totient is φ = 8612472722400.

The previous prime is 30000113320117. The next prime is 30000113320153. The reversal of 30000113320122 is 22102331100003.

30000113320122 is a `hidden beast` number, since 300 + 0 + 0 + 11 + 332 + 0 + 1 + 22 = 666.

It is a super-2 number, since 2×300001133201222 (a number of 28 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 = 30000113320095 and 30000113320104.

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, 3987252129 + ... + 3987259652.

It is an arithmetic number, because the mean of its divisors is an integer number (1555029797490).

Almost surely, 230000113320122 is an apocalyptic number.

30000113320122 is an abundant number, since it is smaller than the sum of its proper divisors (44641316959398).

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

30000113320122 is a wasteful number, since it uses less digits than its factorization.

30000113320122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7974511819 (or 7974511816 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30000113320122 its reverse (22102331100003), we get a palindrome (52102444420125).

The spelling of 30000113320122 in words is "thirty trillion, one hundred thirteen million, three hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 7974511781 15949023562 23923535343 47847070686 71770606029 87719629591 143541212058 151515723839 175439259182 263158888773 303031447678 454547171517 526317777546 789476666319 909094343034 1363641514551 1578953332638 1666672962229 2727283029102 3333345924458 5000018886687 10000037773374 15000056660061 30000113320122