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30324434130 = 235513195261
BaseRepresentation
bin11100001111011110…
…100010010011010010
32220021100202212100000
4130033132202103102
5444101023343010
621533021510430
72122316302644
oct341736422322
986240685300
1030324434130
1111951397211
125a63712416
132b23669663
14167957c894
15bc73627c0
hex70f7a24d2

30324434130 has 96 divisors (see below), whose sum is σ = 82388674368. Its totient is φ = 8024702400.

The previous prime is 30324434087. The next prime is 30324434141. The reversal of 30324434130 is 3143442303.

30324434130 is a `hidden beast` number, since 3 + 0 + 3 + 244 + 3 + 413 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 30324434094 and 30324434103.

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, 270700 + ... + 365960.

It is an arithmetic number, because the mean of its divisors is an integer number (858215358).

Almost surely, 230324434130 is an apocalyptic number.

30324434130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30324434130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41194337184).

30324434130 is an abundant number, since it is smaller than the sum of its proper divisors (52064240238).

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

30324434130 is a wasteful number, since it uses less digits than its factorization.

30324434130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95414 (or 95402 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 30324434130 its reverse (3143442303), we get a palindrome (33467876433).

The spelling of 30324434130 in words is "thirty billion, three hundred twenty-four million, four hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 131 135 162 243 262 270 393 405 486 655 786 810 1179 1215 1310 1965 2358 2430 3537 3930 5895 7074 10611 11790 17685 21222 31833 35370 53055 63666 95261 106110 159165 190522 285783 318330 476305 571566 857349 952610 1428915 1714698 2572047 2857830 4286745 5144094 7716141 8573490 12479191 12860235 15432282 23148423 24958382 25720470 37437573 38580705 46296846 62395955 74875146 77161410 112312719 115742115 124791910 187187865 224625438 231484230 336938157 374375730 561563595 673876314 1010814471 1123127190 1684690785 2021628942 3032443413 3369381570 5054072355 6064886826 10108144710 15162217065 30324434130