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30431333120 = 285234192467
BaseRepresentation
bin11100010101110110…
…010100101100000000
32220112210220220011212
4130111312110230000
5444310410124440
621551401025252
72125055030546
oct342566245400
986483826155
1030431333120
11119a676aa91
125a93485228
132b3c8573b6
141689847d96
15bd192b465
hex715d94b00

30431333120 has 144 divisors (see below), whose sum is σ = 76274231040. Its totient is φ = 11610796032.

The previous prime is 30431333111. The next prime is 30431333167. The reversal of 30431333120 is 2133313403.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12334127 + ... + 12336593.

It is an arithmetic number, because the mean of its divisors is an integer number (529682160).

Almost surely, 230431333120 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 30431333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38137115520).

30431333120 is an abundant number, since it is smaller than the sum of its proper divisors (45842897920).

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

30431333120 is a wasteful number, since it uses less digits than its factorization.

30431333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 30431333120 its reverse (2133313403), we get a palindrome (32564646523).

The spelling of 30431333120 in words is "thirty billion, four hundred thirty-one million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 419 460 640 736 838 920 1280 1472 1676 1840 2095 2467 2944 3352 3680 4190 4934 5888 6704 7360 8380 9637 9868 12335 13408 14720 16760 19274 19736 24670 26816 29440 33520 38548 39472 48185 49340 53632 56741 67040 77096 78944 96370 98680 107264 113482 134080 154192 157888 192740 197360 226964 268160 283705 308384 315776 385480 394720 453928 536320 567410 616768 631552 770960 789440 907856 1033673 1134820 1233536 1541920 1578880 1815712 2067346 2269640 2467072 3083840 3157760 3631424 4134692 4539280 5168365 6167680 7262848 8269384 9078560 10336730 12335360 14525696 16538768 18157120 20673460 23774479 33077536 36314240 41346920 47548958 66155072 72628480 82693840 95097916 118872395 132310144 165387680 190195832 237744790 264620288 330775360 380391664 475489580 661550720 760783328 950979160 1323101440 1521566656 1901958320 3043133312 3803916640 6086266624 7607833280 15215666560 30431333120