Search a number
-
+
2023133103200 = 2552111713523617
BaseRepresentation
bin11101011100001100001…
…000010100010001100000
321011102001121212020211002
4131130030020110101200
5231121334033300300
64145225311411132
7266111060431436
oct35341410242140
97142047766732
102023133103200
117100079916a0
1228811b223aa8
13118a1c087611
146dcc4d08d56
153795dd305d5
hex1d70c214460

2023133103200 has 144 divisors (see below), whose sum is σ = 5704911206064. Its totient is φ = 692409139200.

The previous prime is 2023133103163. The next prime is 2023133103221. The reversal of 2023133103200 is 23013313202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6612209 + ... + 6911408.

It is an arithmetic number, because the mean of its divisors is an integer number (39617438931).

Almost surely, 22023133103200 is an apocalyptic number.

2023133103200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023133103200 is an abundant number, since it is smaller than the sum of its proper divisors (3681778102864).

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

2023133103200 is a wasteful number, since it uses less digits than its factorization.

2023133103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13523665 (or 13523652 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 2023133103200 its reverse (23013313202), we get a palindrome (2046146416402).

The spelling of 2023133103200 in words is "two trillion, twenty-three billion, one hundred thirty-three million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 32 34 40 44 50 55 68 80 85 88 100 110 136 160 170 176 187 200 220 272 275 340 352 374 400 425 440 544 550 680 748 800 850 880 935 1100 1360 1496 1700 1760 1870 2200 2720 2992 3400 3740 4400 4675 5984 6800 7480 8800 9350 13600 14960 18700 29920 37400 74800 149600 13523617 27047234 54094468 67618085 108188936 135236170 148759787 216377872 229901489 270472340 297519574 338090425 432755744 459802978 540944680 595039148 676180850 743798935 919605956 1081889360 1149507445 1190078296 1352361700 1487597870 1839211912 2163778720 2299014890 2380156592 2528916379 2704723400 2975195740 3678423824 3718994675 4598029780 4760313184 5057832758 5409446800 5747537225 5950391480 7356847648 7437989350 9196059560 10115665516 10818893600 11495074450 11900782960 12644581895 14875978700 18392119120 20231331032 22990148900 23801565920 25289163790 29751957400 36784238240 40462662064 45980297800 50578327580 59503914800 63222909475 80925324128 91960595600 101156655160 119007829600 126445818950 183921191200 202313310320 252891637900 404626620640 505783275800 1011566551600 2023133103200