Search a number
-
+
30004100124030 = 23256833001162649
BaseRepresentation
bin1101101001001110111111…
…01110101100110101111110
310221020100211022210122021200
412310213133232230311332
512413041344112432110
6143451405431040330
76214503400022454
oct664473756546576
9127210738718250
1030004100124030
119618738350a0a
123446bb45100a6
1313984b3a18a46
1475a2c5b249d4
1537071ec2a6c0
hex1b49dfbacd7e

30004100124030 has 96 divisors (see below), whose sum is σ = 78151391416800. Its totient is φ = 7986667392000.

The previous prime is 30004100124017. The next prime is 30004100124101. The reversal of 30004100124030 is 3042100140003.

It is a super-2 number, since 2×300041001240302 (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 = 30004100123994 and 30004100124012.

It is a congruent number.

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, 184390146 + ... + 184552794.

It is an arithmetic number, because the mean of its divisors is an integer number (814076993925).

Almost surely, 230004100124030 is an apocalyptic number.

30004100124030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30004100124030 is an abundant number, since it is smaller than the sum of its proper divisors (48147291292770).

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

30004100124030 is a wasteful number, since it uses less digits than its factorization.

30004100124030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166346 (or 166343 counting only the distinct ones).

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

Adding to 30004100124030 its reverse (3042100140003), we get a palindrome (33046200264033).

The spelling of 30004100124030 in words is "thirty trillion, four billion, one hundred million, one hundred twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 683 1366 2049 3001 3415 4098 6002 6147 6830 9003 10245 12294 15005 18006 20490 27009 30010 30735 45015 54018 61470 90030 135045 162649 270090 325298 487947 813245 975894 1463841 1626490 2049683 2439735 2927682 4099366 4879470 6149049 7319205 10248415 12298098 14638410 18447147 20496830 30745245 36894294 61490490 92235735 111089267 184471470 222178534 333267801 488109649 555446335 666535602 976219298 999803403 1110892670 1464328947 1666339005 1999606806 2440548245 2928657894 3332678010 4392986841 4881096490 4999017015 7321644735 8785973682 9998034030 14643289470 21964934205 43929868410 333378890267 666757780534 1000136670801 1666894451335 2000273341602 3000410012403 3333788902670 5000683354005 6000820024806 10001366708010 15002050062015 30004100124030