Search a number
BaseRepresentation
bin100110101001…
…001010110100
3201001122212220
4212221022310
510043130400
61001042340
7152050551
oct46511264
921048786
1010130100
115799992
1234863b0
132138b56
1414b9a28
15d517a0
hex9a92b4

10130100 has 36 divisors (see below), whose sum is σ = 29310624. Its totient is φ = 2701280.

The previous prime is 10130093. The next prime is 10130101. The reversal of 10130100 is 103101.

10130100 = 902 + 912 + ... + 3142.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16584 + ... + 17183.

It is an arithmetic number, because the mean of its divisors is an integer number (814184).

Almost surely, 210130100 is an apocalyptic number.

10130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10130100 is an abundant number, since it is smaller than the sum of its proper divisors (19180524).

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

10130100 is a wasteful number, since it uses less digits than its factorization.

10130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33784 (or 33777 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 10130100 is about 3182.7818021347. The cubic root of 10130100 is about 216.3737527716.

Adding to 10130100 its reverse (103101), we get a palindrome (10233201).

The spelling of 10130100 in words is "ten million, one hundred thirty thousand, one hundred".