Search a number
-
+
30230302104 = 23323743925849
BaseRepresentation
bin11100001001110111…
…011100110110011000
32220000210122110110200
4130021313130312120
5443402424131404
621515420142200
72120064220362
oct341167346630
986023573420
1030230302104
1111903243452
125a38097960
132b09ccba32
14166ac77d32
15bbde6b839
hex709ddcd98

30230302104 has 96 divisors (see below), whose sum is σ = 84281340000. Its totient is φ = 9781710336.

The previous prime is 30230302097. The next prime is 30230302111. The reversal of 30230302104 is 40120303203.

30230302104 is a `hidden beast` number, since 30 + 230 + 302 + 104 = 666.

It is an interprime number because it is at equal distance from previous prime (30230302097) and next prime (30230302111).

It is a super-3 number, since 3×302303021043 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 1156572 + ... + 1182420.

It is an arithmetic number, because the mean of its divisors is an integer number (877930625).

Almost surely, 230230302104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30230302104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42140670000).

30230302104 is an abundant number, since it is smaller than the sum of its proper divisors (54051037896).

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

30230302104 is a wasteful number, since it uses less digits than its factorization.

30230302104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26337 (or 26330 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30230302104 its reverse (40120303203), we get a palindrome (70350605307).

The spelling of 30230302104 in words is "thirty billion, two hundred thirty million, three hundred two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 439 444 666 878 888 1317 1332 1756 2634 2664 3512 3951 5268 7902 10536 15804 16243 25849 31608 32486 48729 51698 64972 77547 97458 103396 129944 146187 155094 194916 206792 232641 292374 310188 389832 465282 584748 620376 930564 956413 1169496 1861128 1912826 2869239 3825652 5738478 7651304 8607717 11347711 11476956 17215434 22695422 22953912 34043133 34430868 45390844 68086266 68861736 90781688 102129399 136172532 204258798 272345064 408517596 419865307 817035192 839730614 1259595921 1679461228 2519191842 3358922456 3778787763 5038383684 7557575526 10076767368 15115151052 30230302104