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100130576 = 2471368771
BaseRepresentation
bin1011111011111…
…01111100010000
320222102011022212
411331331330100
5201113134301
613534051252
72324044610
oct575757420
9228364285
10100130576
1151580647
1229649b28
131798b080
14d426a40
158bcd4bb
hex5f7df10

100130576 has 40 divisors (see below), whose sum is σ = 238776384. Its totient is φ = 39611520.

The previous prime is 100130573. The next prime is 100130579. The reversal of 100130576 is 675031001.

It is an interprime number because it is at equal distance from previous prime (100130573) and next prime (100130579).

It is a super-2 number, since 2×1001305762 = 20052264500183552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100130573) 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 7 ways as a sum of consecutive naturals, for example, 32930 + ... + 35841.

Almost surely, 2100130576 is an apocalyptic number.

100130576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100130576 is an abundant number, since it is smaller than the sum of its proper divisors (138645808).

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

100130576 is a wasteful number, since it uses less digits than its factorization.

100130576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68799 (or 68793 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 100130576 is about 10006.5266701289. The cubic root of 100130576 is about 464.3608221934.

Adding to 100130576 its reverse (675031001), we get a palindrome (775161577).

The spelling of 100130576 in words is "one hundred million, one hundred thirty thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 68771 137542 275084 481397 550168 894023 962794 1100336 1788046 1925588 3576092 3851176 6258161 7152184 7702352 12516322 14304368 25032644 50065288 100130576