Search a number
-
+
30022113200121 = 357194051229309
BaseRepresentation
bin1101101001110000100010…
…11001001000011111111001
310221022002022200120201100000
412310320101121020133321
512413340241434400441
6143503545101503213
76216011644445340
oct664702131103771
9127262280521300
1030022113200121
119625341254659
12344a5a0b71b09
13139a0c4877053
1475b114196b57
15370e263182b6
hex1b4e116487f9

30022113200121 has 96 divisors (see below), whose sum is σ = 54114518348800. Its totient is φ = 16248489710400.

The previous prime is 30022113200111. The next prime is 30022113200207. The reversal of 30022113200121 is 12100231122003.

30022113200121 is a `hidden beast` number, since 3 + 0 + 0 + 221 + 1 + 320 + 0 + 121 = 666.

It is not a de Polignac number, because 30022113200121 - 218 = 30022112937977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30022113200094 and 30022113200103.

It is not an unprimeable number, because it can be changed into a prime (30022113200111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130809615 + ... + 131038923.

Almost surely, 230022113200121 is an apocalyptic number.

It is an amenable number.

30022113200121 is a deficient number, since it is larger than the sum of its proper divisors (24092405148679).

30022113200121 is a wasteful number, since it uses less digits than its factorization.

30022113200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233401 (or 233389 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 30022113200121 its reverse (12100231122003), we get a palindrome (42122344322124).

The spelling of 30022113200121 in words is "thirty trillion, twenty-two billion, one hundred thirteen million, two hundred thousand, one hundred twenty-one".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 243 399 513 567 1197 1539 1701 3591 4051 4617 10773 12153 28357 32319 36459 76969 85071 109377 229309 230907 255213 328131 538783 687927 692721 765639 984393 1605163 1616349 2063781 2078163 2296917 4356871 4815489 4849047 6191343 6234489 6890751 13070613 14446467 14547141 18574029 18703467 30498097 39211839 43339401 43641423 55722087 91494291 117635517 130018203 130924269 274482873 352906551 390054609 823448619 928930759 1058719653 2470345857 2786792277 6502515313 7411037571 8360376831 17649684421 19507545939 25081130493 52949053263 58522637817 75243391479 123547790947 158847159789 175567913451 225730174437 370643372841 476541479367 526703740353 1111930118523 1429624438101 1580111221059 3335790355569 4288873314303 10007371066707 30022113200121