Search a number
-
+
113022123000 = 23353137274993
BaseRepresentation
bin110100101000010100…
…1001011101111111000
3101210201201001201202120
41221100221023233320
53322432130414000
6123531024201240
711110536123453
oct1512051135770
9353651051676
10113022123000
1143a29050926
1219aa2a69220
13a872658c77
14568270849a
152e175ab6a0
hex1a50a4bbf8

113022123000 has 128 divisors (see below), whose sum is σ = 355204249920. Its totient is φ = 29919129600.

The previous prime is 113022122989. The next prime is 113022123013. The reversal of 113022123000 is 321220311.

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

It is a congruent number.

It is an unprimeable number.

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, 273504 + ... + 548496.

Almost surely, 2113022123000 is an apocalyptic number.

113022123000 is a gapful number since it is divisible by the number (10) 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 113022123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177602124960).

113022123000 is an abundant number, since it is smaller than the sum of its proper divisors (242182126920).

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

113022123000 is a wasteful number, since it uses less digits than its factorization.

113022123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275154 (or 275140 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 113022123000 its reverse (321220311), we get a palindrome (113343343311).

The spelling of 113022123000 in words is "one hundred thirteen billion, twenty-two million, one hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 137 150 200 250 274 300 375 411 500 548 600 685 750 822 1000 1096 1370 1500 1644 2055 2740 3000 3288 3425 4110 5480 6850 8220 10275 13700 16440 17125 20550 27400 34250 41100 51375 68500 82200 102750 137000 205500 274993 411000 549986 824979 1099972 1374965 1649958 2199944 2749930 3299916 4124895 5499860 6599832 6874825 8249790 10999720 13749650 16499580 20624475 27499300 32999160 34374125 37674041 41248950 54998600 68748250 75348082 82497900 103122375 113022123 137496500 150696164 164995800 188370205 206244750 226044246 274993000 301392328 376740410 412489500 452088492 565110615 753480820 824979000 904176984 941851025 1130221230 1506961640 1883702050 2260442460 2825553075 3767404100 4520884920 4709255125 5651106150 7534808200 9418510250 11302212300 14127765375 18837020500 22604424600 28255530750 37674041000 56511061500 113022123000