Search a number
-
+
30127055304 = 23329591574673
BaseRepresentation
bin11100000011101101…
…100110000111001000
32212202121100222111010
4130003231212013020
5443200011232204
621501251203520
72114401513323
oct340355460710
985677328433
1030127055304
111185aa34615
125a095a65a0
132ac17bc458
14165b27d7ba
15bb4d74d89
hex703b661c8

30127055304 has 128 divisors (see below), whose sum is σ = 79757136000. Its totient is φ = 9468985344.

The previous prime is 30127055297. The next prime is 30127055311. The reversal of 30127055304 is 40355072103.

It is an interprime number because it is at equal distance from previous prime (30127055297) and next prime (30127055311).

It is a super-2 number, since 2×301270553042 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6444712 + ... + 6449384.

It is an arithmetic number, because the mean of its divisors is an integer number (623102625).

Almost surely, 230127055304 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 30127055304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39878568000).

30127055304 is an abundant number, since it is smaller than the sum of its proper divisors (49630080696).

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

30127055304 is a wasteful number, since it uses less digits than its factorization.

30127055304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4927 (or 4923 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The spelling of 30127055304 in words is "thirty billion, one hundred twenty-seven million, fifty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 58 59 87 116 118 157 174 177 232 236 314 348 354 471 472 628 696 708 942 1256 1416 1711 1884 3422 3768 4553 4673 5133 6844 9106 9263 9346 10266 13659 13688 14019 18212 18526 18692 20532 27318 27789 28038 36424 37052 37384 41064 54636 55578 56076 74104 109272 111156 112152 135517 222312 268627 271034 275707 406551 537254 542068 551414 733661 805881 813102 827121 1074508 1084136 1102828 1467322 1611762 1626204 1654242 2149016 2200983 2205656 2934644 3223524 3252408 3308484 4401966 5869288 6447048 6616968 7995503 8803932 15991006 17607864 21276169 23986509 31982012 42552338 43285999 47973018 63828507 63964024 85104676 86571998 95946036 127657014 129857997 170209352 173143996 191892072 255314028 259715994 346287992 510628056 519431988 1038863976 1255293971 2510587942 3765881913 5021175884 7531763826 10042351768 15063527652 30127055304