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23020330320 = 24325132459437
BaseRepresentation
bin10101011100000111…
…100101110101010000
32012102022210221112200
4111130013211311100
5334121201032240
614324141323200
71443315402441
oct253407456520
965368727480
1023020330320
119843415989
124565566500
13222b359a40
1411854a12c8
158eaec8930
hex55c1e5d50

23020330320 has 120 divisors (see below), whose sum is σ = 83256895176. Its totient is φ = 5666540544.

The previous prime is 23020330301. The next prime is 23020330357. The reversal of 23020330320 is 2303302032.

23020330320 is a `hidden beast` number, since 2 + 302 + 0 + 330 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3233969424 + 19786360896 = 56868^2 + 140664^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×230203303202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23020330293 and 23020330302.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1220359 + ... + 1239078.

Almost surely, 223020330320 is an apocalyptic number.

23020330320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23020330320 is an abundant number, since it is smaller than the sum of its proper divisors (60236564856).

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

23020330320 is a wasteful number, since it uses less digits than its factorization.

23020330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459469 (or 2459460 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 23020330320 its reverse (2303302032), we get a palindrome (25323632352).

The spelling of 23020330320 in words is "twenty-three billion, twenty million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 2459437 4918874 7378311 9837748 12297185 14756622 19675496 22134933 24594370 29513244 31972681 36891555 39350992 44269866 49188740 59026488 63945362 73783110 88539732 95918043 98377480 110674665 118052976 127890724 147566220 159863405 177079464 191836086 196754960 221349330 255781448 287754129 295132440 319726810 354158928 383672172 442698660 479590215 511562896 575508258 590264880 639453620 767344344 885397320 959180430 1151016516 1278907240 1438770645 1534688688 1770794640 1918360860 2302033032 2557814480 2877541290 3836721720 4604066064 5755082580 7673443440 11510165160 23020330320