Search a number
-
+
323320300113120 = 25355412112445889
BaseRepresentation
bin100100110000011101101111…
…1101000110000110011100000
31120101210010012121211222202120
41021200323133220300303200
5314334234433312104440
63103351143444544240
7125050056305015622
oct11140733750606340
91511703177758676
10323320300113120
119402440751aa22
12303197823b2080
1310b53c8695c3ab
1459bab00bb6c12
15275a482895dd0
hex1260edfa30ce0

323320300113120 has 96 divisors (see below), whose sum is σ = 1018477845372960. Its totient is φ = 86217146695680.

The previous prime is 323320300113119. The next prime is 323320300113133. The reversal of 323320300113120 is 21311003023323.

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

It is a super-2 number, since 2×3233203001131202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19755136 + ... + 32201024.

It is an arithmetic number, because the mean of its divisors is an integer number (10609144222635).

Almost surely, 2323320300113120 is an apocalyptic number.

323320300113120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

323320300113120 is an abundant number, since it is smaller than the sum of its proper divisors (695157545259840).

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

323320300113120 is a wasteful number, since it uses less digits than its factorization.

323320300113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12500028 (or 12500020 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 323320300113120 its reverse (21311003023323), we get a palindrome (344631303136443).

The spelling of 323320300113120 in words is "three hundred twenty-three trillion, three hundred twenty billion, three hundred 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 96 120 160 240 480 54121 108242 162363 216484 270605 324726 432968 541210 649452 811815 865936 1082420 1298904 1623630 1731872 2164840 2597808 3247260 4329680 5195616 6494520 8659360 12445889 12989040 24891778 25978080 37337667 49783556 62229445 74675334 99567112 124458890 149350668 186688335 199134224 248917780 298701336 373376670 398268448 497835560 597402672 746753340 995671120 1194805344 1493506680 1991342240 2987013360 5974026720 673583958569 1347167917138 2020751875707 2694335834276 3367919792845 4041503751414 5388671668552 6735839585690 8083007502828 10103759378535 10777343337104 13471679171380 16166015005656 20207518757070 21554686674208 26943358342760 32332030011312 40415037514140 53886716685520 64664060022624 80830075028280 107773433371040 161660150056560 323320300113120