Search a number
-
+
123113130 = 23571075479
BaseRepresentation
bin1110101011010…
…00111010101010
322120122210110120
413111220322222
5223004110010
620114424110
73023305260
oct725507252
9276583416
10123113130
1163548798
1235292036
131c676c0a
14124ca430
15ac1ce70
hex7568eaa

123113130 has 64 divisors (see below), whose sum is σ = 340899840. Its totient is φ = 27872064.

The previous prime is 123113093. The next prime is 123113131. The reversal of 123113130 is 31311321.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (123113131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19731 + ... + 25209.

It is an arithmetic number, because the mean of its divisors is an integer number (5326560).

Almost surely, 2123113130 is an apocalyptic number.

123113130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123113130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170449920).

123113130 is an abundant number, since it is smaller than the sum of its proper divisors (217786710).

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

123113130 is a wasteful number, since it uses less digits than its factorization.

123113130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5603.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 123113130 is about 11095.6356284802. The cubic root of 123113130 is about 497.4714073279.

Adding to 123113130 its reverse (31311321), we get a palindrome (154424451).

The spelling of 123113130 in words is "one hundred twenty-three million, one hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 107 210 214 321 535 642 749 1070 1498 1605 2247 3210 3745 4494 5479 7490 10958 11235 16437 22470 27395 32874 38353 54790 76706 82185 115059 164370 191765 230118 383530 575295 586253 1150590 1172506 1758759 2931265 3517518 4103771 5862530 8207542 8793795 12311313 17587590 20518855 24622626 41037710 61556565 123113130