Search a number
-
+
100321130 = 25721315749
BaseRepresentation
bin1011111101011…
…00011101101010
320222202211201102
411332230131222
5201140234010
613542121402
72325500300
oct576543552
9228684642
10100321130
11516a0828
1229720262
1317a26a20
14d476270
158c19ba5
hex5fac76a

100321130 has 48 divisors (see below), whose sum is σ = 226233000. Its totient is φ = 31747968.

The previous prime is 100321099. The next prime is 100321139. The reversal of 100321130 is 31123001.

It can be written as a sum of positive squares in 4 ways, for example, as 31281649 + 69039481 = 5593^2 + 8309^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100321139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1505 + ... + 14244.

Almost surely, 2100321130 is an apocalyptic number.

100321130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100321130 is an abundant number, since it is smaller than the sum of its proper divisors (125911870).

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

100321130 is a wasteful number, since it uses less digits than its factorization.

100321130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15783 (or 15776 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 100321130 is about 10016.0436300967. The cubic root of 100321130 is about 464.6552036028.

Adding to 100321130 its reverse (31123001), we get a palindrome (131444131).

The spelling of 100321130 in words is "one hundred million, three hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 245 455 490 637 910 1274 3185 6370 15749 31498 78745 110243 157490 204737 220486 409474 551215 771701 1023685 1102430 1433159 1543402 2047370 2866318 3858505 7165795 7717010 10032113 14331590 20064226 50160565 100321130