Search a number
-
+
10112130 = 2325722293
BaseRepresentation
bin100110100100…
…110010000010
3201000202020100
4212210302002
510042042010
61000423230
7151644300
oct46446202
921022210
1010112130
115787436
123477b16
132130912
1414b3270
15d4b2c0
hex9a4c82

10112130 has 72 divisors (see below), whose sum is σ = 30597372. Its totient is φ = 2310336.

The previous prime is 10112129. The next prime is 10112131. The reversal of 10112130 is 3121101.

It is an interprime number because it is at equal distance from previous prime (10112129) and next prime (10112131).

It can be written as a sum of positive squares in 2 ways, for example, as 9790641 + 321489 = 3129^2 + 567^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10112131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3264 + ... + 5556.

Almost surely, 210112130 is an apocalyptic number.

10112130 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 10112130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15298686).

10112130 is an abundant number, since it is smaller than the sum of its proper divisors (20485242).

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

10112130 is a wasteful number, since it uses less digits than its factorization.

10112130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 10112130 is about 3179.9575468864. The cubic root of 10112130 is about 216.2457337080.

Adding to 10112130 its reverse (3121101), we get a palindrome (13233231).

The spelling of 10112130 in words is "ten million, one hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 2293 4410 4586 6879 11465 13758 16051 20637 22930 32102 34395 41274 48153 68790 80255 96306 103185 112357 144459 160510 206370 224714 240765 288918 337071 481530 561785 674142 722295 1011213 1123570 1444590 1685355 2022426 3370710 5056065 10112130