Search a number
-
+
30004134120 = 23325139599603
BaseRepresentation
bin11011111100011000…
…101100000011101000
32212110001001221022200
4123330120230003220
5442422024242440
621441140420200
72111346634452
oct337430540350
985401057280
1030004134120
11117a7608064
1259943a7660
132aa21b1a1c
141648c032d2
15ba9193c30
hex6fc62c0e8

30004134120 has 96 divisors (see below), whose sum is σ = 98215135200. Its totient is φ = 7943527296.

The previous prime is 30004134103. The next prime is 30004134137. The reversal of 30004134120 is 2143140003.

30004134120 is a `hidden beast` number, since 300 + 0 + 4 + 1 + 341 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (30004134103) and next prime (30004134137).

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 = 30004134093 and 30004134102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249762 + ... + 349841.

It is an arithmetic number, because the mean of its divisors is an integer number (1023074325).

Almost surely, 230004134120 is an apocalyptic number.

30004134120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30004134120 is an abundant number, since it is smaller than the sum of its proper divisors (68211001080).

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

30004134120 is a wasteful number, since it uses less digits than its factorization.

30004134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599759 (or 599752 counting only the distinct ones).

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

Adding to 30004134120 its reverse (2143140003), we get a palindrome (32147274123).

The spelling of 30004134120 in words is "thirty billion, four million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 139 180 278 360 417 556 695 834 1112 1251 1390 1668 2085 2502 2780 3336 4170 5004 5560 6255 8340 10008 12510 16680 25020 50040 599603 1199206 1798809 2398412 2998015 3597618 4796824 5396427 5996030 7195236 8994045 10792854 11992060 14390472 17988090 21585708 23984120 26982135 35976180 43171416 53964270 71952360 83344817 107928540 166689634 215857080 250034451 333379268 416724085 500068902 666758536 750103353 833448170 1000137804 1250172255 1500206706 1666896340 2000275608 2500344510 3000413412 3333792680 3750516765 5000689020 6000826824 7501033530 10001378040 15002067060 30004134120