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320323113120 = 25351514419469
BaseRepresentation
bin1001010100101001011…
…11101101000010100000
31010121210212110010212110
410222110233231002200
520222010204104440
6403053203555320
732066622352113
oct4522457550240
91117725403773
10320323113120
11113937056a5a
12520b768bb40
132428b43772a
141170a2d657a
1584eb9a2080
hex4a94bed0a0

320323113120 has 96 divisors (see below), whose sum is σ = 1015700273280. Its totient is φ = 84853785600.

The previous prime is 320323113083. The next prime is 320323113157. The reversal of 320323113120 is 21311323023.

It is an interprime number because it is at equal distance from previous prime (320323113083) and next prime (320323113157).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3203231131202 (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2137255 + ... + 2282214.

It is an arithmetic number, because the mean of its divisors is an integer number (10580211180).

Almost surely, 2320323113120 is an apocalyptic number.

320323113120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320323113120 is an abundant number, since it is smaller than the sum of its proper divisors (695377160160).

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

320323113120 is a wasteful number, since it uses less digits than its factorization.

320323113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419638 (or 4419630 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 320323113120 its reverse (21311323023), we get a palindrome (341634436143).

The spelling of 320323113120 in words is "three hundred twenty billion, three hundred twenty-three million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 151 160 240 302 453 480 604 755 906 1208 1510 1812 2265 2416 3020 3624 4530 4832 6040 7248 9060 12080 14496 18120 24160 36240 72480 4419469 8838938 13258407 17677876 22097345 26516814 35355752 44194690 53033628 66292035 70711504 88389380 106067256 132584070 141423008 176778760 212134512 265168140 353557520 424269024 530336280 667339819 707115040 1060672560 1334679638 2002019457 2121345120 2669359276 3336699095 4004038914 5338718552 6673398190 8008077828 10010097285 10677437104 13346796380 16016155656 20020194570 21354874208 26693592760 32032311312 40040389140 53387185520 64064622624 80080778280 106774371040 160161556560 320323113120