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20123022000 = 2435323145819
BaseRepresentation
bin10010101111011011…
…001111001010110000
31220221102000102201010
4102233123033022300
5312202443201000
613124442110520
71311444602424
oct225733171260
956842012633
1020123022000
118596a152a4
123a971ab440
131b8901c213
14d8c78ab84
157cb96bd50
hex4af6cf2b0

20123022000 has 160 divisors (see below), whose sum is σ = 67697809920. Its totient is φ = 5132793600.

The previous prime is 20123021993. The next prime is 20123022001. The reversal of 20123022000 is 22032102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20123022001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65091 + ... + 210909.

It is an arithmetic number, because the mean of its divisors is an integer number (423111312).

Almost surely, 220123022000 is an apocalyptic number.

20123022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20123022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33848904960).

20123022000 is an abundant number, since it is smaller than the sum of its proper divisors (47574787920).

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

20123022000 is a wasteful number, since it uses less digits than its factorization.

20123022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145868 (or 145852 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20123022000 its reverse (22032102), we get a palindrome (20145054102).

The spelling of 20123022000 in words is "twenty billion, one hundred twenty-three million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 125 138 150 184 200 230 240 250 276 300 345 368 375 400 460 500 552 575 600 690 750 920 1000 1104 1150 1200 1380 1500 1725 1840 2000 2300 2760 2875 3000 3450 4600 5520 5750 6000 6900 8625 9200 11500 13800 17250 23000 27600 34500 46000 69000 138000 145819 291638 437457 583276 729095 874914 1166552 1458190 1749828 2187285 2333104 2916380 3353837 3499656 3645475 4374570 5832760 6707674 6999312 7290950 8749140 10061511 10936425 11665520 13415348 14581900 16769185 17498280 18227375 20123022 21872850 26830696 29163800 33538370 34996560 36454750 40246044 43745700 50307555 53661392 54682125 58327600 67076740 72909500 80492088 83845925 87491400 100615110 109364250 134153480 145819000 160984176 167691850 174982800 201230220 218728500 251537775 268306960 291638000 335383700 402460440 419229625 437457000 503075550 670767400 804920880 838459250 874914000 1006151100 1257688875 1341534800 1676918500 2012302200 2515377750 3353837000 4024604400 5030755500 6707674000 10061511000 20123022000