Search a number
-
+
100110000991 = 71113211473981
BaseRepresentation
bin101110100111100000…
…1010110001101011111
3100120101211121222020111
41131033001112031133
53120011130012431
6113553452430451
710142550653050
oct1351701261537
9316354558214
10100110000991
1139502538510
121749a778427
1395955453a0
144bb98d6727
15290dc177b1
hex174f05635f

100110000991 has 32 divisors (see below), whose sum is σ = 135050743296. Its totient is φ = 71665776000.

The previous prime is 100110000967. The next prime is 100110001003. The reversal of 100110000991 is 199000011001.

It is not a de Polignac number, because 100110000991 - 25 = 100110000959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110000941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25780 + ... + 448201.

It is an arithmetic number, because the mean of its divisors is an integer number (4220335728).

Almost surely, 2100110000991 is an apocalyptic number.

100110000991 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100110000991 is a deficient number, since it is larger than the sum of its proper divisors (34940742305).

100110000991 is a wasteful number, since it uses less digits than its factorization.

100110000991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474223.

The product of its (nonzero) digits is 81, while the sum is 22.

Adding to 100110000991 its reverse (199000011001), we get a palindrome (299110011992).

The spelling of 100110000991 in words is "one hundred billion, one hundred ten million, nine hundred ninety-one", and thus it is an aban number.

Divisors: 1 7 11 13 77 91 143 211 1001 1477 2321 2743 16247 19201 30173 211211 473981 3317867 5213791 6161753 36496537 43132271 67779283 100009991 474454981 700069937 1100109901 1300129883 7700769307 9100909181 14301428713 100110000991