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20123023200 = 2535271197799
BaseRepresentation
bin10010101111011011…
…001111011101100000
31220221102000111100120
4102233123033131200
5312202443220300
613124442120240
71311444606060
oct225733173540
956842014316
1020123023200
118596a16195
123a971b0080
131b8901c927
14d8c78b3a0
157cb96c3a0
hex4af6cf760

20123023200 has 144 divisors (see below), whose sum is σ = 74857708800. Its totient is φ = 4599544320.

The previous prime is 20123023181. The next prime is 20123023201. The reversal of 20123023200 is 232032102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20123023200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123023201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582100 + ... + 615699.

It is an arithmetic number, because the mean of its divisors is an integer number (519845200).

Almost surely, 220123023200 is an apocalyptic number.

20123023200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20123023200 is an abundant number, since it is smaller than the sum of its proper divisors (54734685600).

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

20123023200 is a wasteful number, since it uses less digits than its factorization.

20123023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197829 (or 1197816 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20123023200 its reverse (232032102), we get a palindrome (20355055302).

The spelling of 20123023200 in words is "twenty billion, one hundred twenty-three million, twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8400 16800 1197799 2395598 3593397 4791196 5988995 7186794 8384593 9582392 11977990 14373588 16769186 17966985 19164784 23955980 25153779 28747176 29944975 33538372 35933970 38329568 41922965 47911960 50307558 57494352 59889950 67076744 71867940 83845930 89834925 95823920 100615116 114988704 119779900 125768895 134153488 143735880 167691860 179669850 191647840 201230232 209614825 239559800 251537790 268306976 287471760 335383720 359339700 402460464 419229650 479119600 503075580 574943520 628844475 670767440 718679400 804920928 838459300 958239200 1006151160 1257688950 1341534880 1437358800 1676918600 2012302320 2515377900 2874717600 3353837200 4024604640 5030755800 6707674400 10061511600 20123023200