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23012122320 = 24325112905571
BaseRepresentation
bin10101011011101000…
…010001111011010000
32012101202100221021200
4111123220101323100
5334112100403240
614323245351200
71443155545425
oct253350217320
965352327250
1023012122320
11983981a110
124562868500
132229744a35
141184365d4c
158ea406930
hex55ba11ed0

23012122320 has 120 divisors (see below), whose sum is σ = 84308077152. Its totient is φ = 5578694400.

The previous prime is 23012122313. The next prime is 23012122333. The reversal of 23012122320 is 2322121032.

23012122320 is a `hidden beast` number, since 2 + 301 + 21 + 22 + 320 = 666.

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

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 = 23012122293 and 23012122302.

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, 1444866 + ... + 1460705.

Almost surely, 223012122320 is an apocalyptic number.

23012122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23012122320 is an abundant number, since it is smaller than the sum of its proper divisors (61295954832).

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

23012122320 is a wasteful number, since it uses less digits than its factorization.

23012122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905601 (or 2905592 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23012122320 its reverse (2322121032), we get a palindrome (25334243352).

The spelling of 23012122320 in words is "twenty-three billion, twelve million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 2905571 5811142 8716713 11622284 14527855 17433426 23244568 26150139 29055710 31961281 34866852 43583565 46489136 52300278 58111420 63922562 69733704 87167130 95883843 104600556 116222840 127845124 130750695 139467408 159806405 174334260 191767686 209201112 232445680 255690248 261501390 287651529 319612810 348668520 383535372 418402224 479419215 511380496 523002780 575303058 639225620 697337040 767070744 958838430 1046005560 1150606116 1278451240 1438257645 1534141488 1917676860 2092011120 2301212232 2556902480 2876515290 3835353720 4602424464 5753030580 7670707440 11506061160 23012122320