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10130112 = 263243409
BaseRepresentation
bin100110101001…
…001011000000
3201001122220100
4212221023000
510043130422
61001042400
7152050566
oct46511300
921048810
1010130112
1157999a3
123486400
132138b65
1414b9a36
15d517ac
hex9a92c0

10130112 has 84 divisors (see below), whose sum is σ = 29784040. Its totient is φ = 3290112.

The previous prime is 10130101. The next prime is 10130117. The reversal of 10130112 is 21103101.

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

It is a junction number, because it is equal to n+sod(n) for n = 10130094 and 10130103.

It is not an unprimeable number, because it can be changed into a prime (10130117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24564 + ... + 24972.

Almost surely, 210130112 is an apocalyptic number.

10130112 is a gapful number since it is divisible by the number (12) 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 10130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14892020).

10130112 is an abundant number, since it is smaller than the sum of its proper divisors (19653928).

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

10130112 is a wasteful number, since it uses less digits than its factorization.

10130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 457 counting only the distinct ones).

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

The square root of 10130112 is about 3182.7836872775. The cubic root of 10130112 is about 216.3738382095.

Adding to 10130112 its reverse (21103101), we get a palindrome (31233213).

The spelling of 10130112 in words is "ten million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 129 144 172 192 258 288 344 387 409 516 576 688 774 818 1032 1227 1376 1548 1636 2064 2454 2752 3096 3272 3681 4128 4908 6192 6544 7362 8256 9816 12384 13088 14724 17587 19632 24768 26176 29448 35174 39264 52761 58896 70348 78528 105522 117792 140696 158283 211044 235584 281392 316566 422088 562784 633132 844176 1125568 1266264 1688352 2532528 3376704 5065056 10130112